## Quant Quiz On Percentage Day 14 Bag

• Veena bought a watch costing Rs. 1404 including sales tax at 8%. She asked the shopkeeper to reduce the price of the watch so that she can save the amount equal to the tax. The reduction of the price of the watch is?
A. Rs.108
B. Rs.104
C. Rs.112
D. Rs.120
E. None of these

B. Rs.104
Explanation:
1.08x = 1404
x = 1300
The reduction of the price of the watch = 104
• A Sales Executive gets a commission on total sales at 8%. If the sale is exceeded Rs.10,000 he gets an additional commission as a bonus of 4% on the excess of sales over Rs.10,000. If he gets the total commission of Rs.950, then the bonus he received is?
A. 40
B. 50
C. 36
D. 48
E. None of these

B. 50
Explanation:
Commission up to 10000 = 10000 * 8/100 = 800
Ratio = 2x:x ; Commission = 2x, Bonus = x ;
Bonus = 950 – 800 * 1/3 = 150 * 1/3 = 50
• In a College there are 1800 students. Last day except 4% of the boys all the students were present in the college. Today except 5% of the girls all the students are present in the college, but in both the days number of students present in the college, were same. The number of girls in the college is?
A. 1000
B. 400
C. 800
D. 600
E. 1200

C. 800
Explanation:
From Options;
let Number of girls = 800
Number of boys = 1000
96% of 1000 + 800 = 95% of 800 + 1000[satisfies the condition; Check the condition with other options also]
• In a library 60% of the books are in Hindi, 60% of the remaining books are in English rest of the books are in Malayalam. If there are 4800 books in English, then the total number of books in Malayalam are?
A. 3400
B. 3500
C. 3100
D. 3200
E.None of these

D. 3200
Explanation:
Let there are X books in the library.
Hindi books = 60% of X = 60X /100 = 0.6X
Remaining Books = X – 0.6X = 0.4X
English books = 40% of reaming books = 60% of 0.4X = 0.24X.
Malayalam Books = X-0.6X -0.24X = 0.16X
Given,
0.24X = 4800
X = 4800/0.24 = 20000
Malayalam Books = 0.16X = 0.16*20000 = 3200.
• 80% of a small number is 4 less than 40% of a larger number. The larger number is 125 greater than the smaller one. The sum of these two  numbers is
A. 325
B. 345
C. 355
D. 365
E. None of these

C. 355
Explanation:
smaller number = x; larger number = y
0.8x + 4 = 0.4y
4y – 8x = 40
y – x = 125
x = 115; y = 240
x + y = 355
• In a private company 60% of the employees are men and 48% of the employees are Engineer and 66.6% of Engineers are men. The percentage of women who are not engineers is?
A. 60%
B. 50%
C. 55%
D. 65%
E. 45%

A. 60%
Explanation:
Men = 600x
Women = 400x
Total engineers = 480x
Male engineers = 480x * 0.66 = 320x
Women who are Engineers = 160x
Women who are not Engineers = 400x – 160x = 240x
Required percentage = 240/400 * 100 = 60%
• Initially, Suresh has Rs.200 in his paytm wallet then he increased it by 20%. Once again he increased his amount by 25%. The final value of money in his wallet will be how much % greater than the initial amount?
A. 40%
B. 50%
C. 80%
D. 60%
E. None of these

B. 50%
Explanation:
200 + 20% of 200 = 240
240 + 25% of 240 = 300
Required percentage = 300 – 200/200 * 100 = 50%
• Mr.Ramesh gives 10% of some amount to his wife and 10% of the remaining to hospital expenses and again 10% of the remaining amount to charity. Then he has only Rs.7290 with him. What is the initial sum of money with that person?
A. Rs.8000
B. Rs.9000
C. Rs.10000
D. Rs.20000
E. Rs.17200

C. Rs.10000 Explanation:
Remaining amount = x * 0.9 * 0.9 * 0.9
0.729x = 7290
x = 10000
• Initially, a shopkeeper had “x” pens. A customer bought 10% of pens from “x” then another customer bought 20% of the remaining pens after that one more customer purchased 25% of the remaining pens. Finally, shopkeeper is left with 270 pens in his shop. How many pens were there initially in his shop?
A. 200
B. 800
C. 400
D. 600
E. 500

E. 500
Explanation:
x*0.9*0.8*0.75 =270
x = 270 * 10000 / 9 * 8 * 75
x = 500
• The cost of packaging of the oranges is 20% the cost of fresh oranges themselves. The cost of oranges increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed oranges, if the cost of packed oranges is equal to the sum of the cost of fresh oranges and cost of packaging
A. 14.5%
B. 16.66%
C. 14.33%
D. 13.66%
E. None of these

B. 16.66%
Explanation:
Let initial Cost of fresh, oranges = 100.
packaging cost = 20. Initial total cost = 100 + 20 = 120
After increasing in cost of fresh mangoes 30%,
Cost of fresh mangoes = 130
And cost of packing go down by 50 % so,
Cost of packing = 10.
Total cost = 130 + 10 = 140.
Increased cost = 140 – 120 = 20.
% increased = (20*100) /120 = 16.66%.

• Cost Price of two laptops is same. One of the laptops is sold at a profit of 15% and the Selling Price of another one laptop is Rs. 3400 more than the first one. The net profit is 20%. What is the Cost Price of Each laptop?
A.36000
B.40000
C.48000
D.34000
E.None of these

D.34000
Explanation:
(2x*1.15) + 3400 = 2x*1.20
2.4x – 2.3x = 3400
x = 34000
• In an office there are 40% female employees. 50% of the male employees are UG graduates. The total 52% of employees are UG graduates out of 1800 employees. What is the number of female employees who are UG graduates?
A. 362
B. 412
C. 396
D. 428
E. None of these

C. 396
Explanation:
Total employees = 1800
female employees = 40%
male employees = 60%
50% of male employess = UG graduates = 30%
Female employees who are UG graduates = 22%
22% of 1800 = 396
• Ravi got 70% in English and 56% in Biology and the maximum marks of both papers is 100. What percent does he score in Maths, if he scores 60% marks in all the three subjects?. Maximum Marks of Maths paper is 200.
A. 30%
B. 40%
C. 45%
D. 25%
E. 57%

E. 57%
Explanation:
70 + 56 + x = 60% of all three subjects
70 + 56 + x = 60% of 400
x = 240 – 126 = 114
% = 114/200 * 100 = 57%
• Ankita is 25 years old. If Rahul’s age is 25% greater than that of Ankita then how much percent Ankita’s age is less than Rahul’s age?
A. 40%
B. 35%
C. 10%
D. 20%
E.None of these

D. 20%
Explanation:
Percentage decrease = 25/125 * 100 = 20%
• Mr.Ravi’s salary was reduced by 25% for three months. But after the three months, his salary was increased to the original salary. What is the percentage increase in salary of Mr.Ravi?
A. 33.33%
B. 42.85%
C. 28.56%
D. 16.66%
E. None of these

A. 33.33%
Explanation:
Percentage increase = 25/75 * 100 = 33.33%
• In an election only two candidates A and B contested 30% of the voters did not vote and 1600 votes were declared as invalid. The winner, A got 4800 votes more than his opponent thus he secured 51% votes of the total voters on the voter list. Percentage votes of the loser candidate, B out of the total voters on the voter list is:
A. 5.6%
B. 3%
C. 6.2%
D. 5%
E. 4.6%

B. 3%
Explanation:
Total voters on the voter list = x
0.51x + 0.51x – 4800 = 0.70x – 1600
1.02x – 4800 = 0.70x – 1600
x = 10000
Votes of the loser candidate = 5100 – 4800 = 300
Percentage votes of the loser candidate = 300/10000 * 100 = 3%
• In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?
A. 400
B. 1200
C. 800
D. 600
E. None of these

D. 600
Explanation:
From Options;
let Number of girls = 600
Number of boys = 1400
96% of 1400 + 600 = [600 – 28/3 % of 600] + 1400 = 1944[satisfies the condition; Check the condition with other options also]
• A school has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 1200 from the parents of the students. The people already solicited represents the parents of 60% of the students. If the School is to raise exactly the amount needed for the new building, what should be the average donation from the remaining students to be solicited?
A. Rs.800
B. Rs.900
C. Rs.850
D. Rs.600
E. Rs.720

D. Rs.600 Explanation:
Let the number of parents be x who has been asked for the donations.
People already solicited = 60% of x = 0.6x
Remaining people = 40% of x = 0.4x
Amount collected from the parents solicited= 1200 *0.6x = 720x
720x = 75%; Remaining amount = 25% = 240x
Thus, Average donations from remaining parents = 240x /0.4x = 600
• The monthly income of Shyama and Kamal together is Rs.28000. The income of Shyama and Kamal is increased by 25% and 12.5% respectively. The new income of Kamal becomes 120% of the new salary of Shyama. What is the new income of Shyama?
A. Rs.12000
B. Rs.18000
C. Rs.14000
D. Rs.16000
E. Rs.15000

E. Rs.15000
Explanation:
The monthly income of Shyama and Kamal => S + K = 28000 —(1)
Shyama’s income = x; Kamal’s income = 28000 – x.
K = 120/100 * S —(2)
S’s new income = (28000 – x)*112.5/100
K’s new income = x * 125/100
(28000 – x)*112.5/100 = x * 125/100
x = 12000
New Income of Shyama = 125% of 12000 = 15000
• 500 kg of ore contained a certain amount of iron. After the first blast furnace process, 200 kg of slag containing 12.5% of iron was removed. The percentage of iron in the remaining ore was found to be 20% more than the percentage in the original ore. How many kg of iron were there in the original 500 kg ore?
A. 54.2
B. 58.5
C. 46.3
D. 42.4
E. 89.2

E. 89.2.
Explanation:
Initially ‘x’ kg of iron in 500 kg ore.
Iron in the 200 kg of removed =200*12.5/100= 25 kg.
The percentage of iron in the remaining ore was found to be 20% more than the percentage in the original ore
So (x-25)/300 = (120/100)*x/500
=> x – 25 = 18x/25
=> 7x = 625
=> x = 89.2

• In a class of 60 students , 40% of the students passed in Reasoning, 5% of the  students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only  in Quants?
1.17
2.33
3.23
4.37
5.None of these

Explanation :
Total students=60
Failed in both=5% of 60=3
Passed in both=20% of 60=12
Passed in reasoning=50% of 60=24
Those passed only in reasoning =24-12=12 students.
Passed only in Quants=60-(12+12+3)=33
• The maximum marks per paper in  3 subjects in Mathematics , Physics and Chemistry are set in the ratio 1 : 2 : 3 respectively. Giri obtained 40% in Mathematics, 60% in Physics and 35% in Chemistry papers. What is overall percentage marks did he get overall?
1.44%
2.32%
3.50%
4.60%
5.None of these

Explanation :
40*1/100  : 60*2/100 : 35*3/100 = 0.4:1.2:1.05
Overall % =100* [0.4+1.2+1.05]/1+2+3 = 265/6 = 44.16 = 44%
• In an examination, 50% of the students passed in Science and  75% passed in Social, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?
1.400
2.540
3.600
4.750
5.None of these

passed in science = 50%
passed in social = 75%
20% students failed in both the subjects and 80% passed in at least one subject
No of students passed in both subjects = 50+75−x=80  x=45% 45% of x = 270  x = 270*100/45 = 600
Total number of students =600
• Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?
1.900kg
2.850kg
3.920kg
4.960kg
5.None of these

Explanation :
Quantity of water in 300 kg dry fruits, = (20 /100) *300 = 60 kg
Quantity of fruit alone= 300-60 =240 kg
25 kg fruit piece in 100 kg fresh fruits
For 240 = (100 *240)/25 = 960 kg.
• In a college election 35% voted for Person A, whereas 42% voted for Person B. The remaining people were not vote to any person. If the difference between those who vote for Person B in the election and those who are uncertain was 570, how many people are participated in the college election?
1.1500
2.2000
3.2100
4.1700
5.None of these

Explanation :
Let the number of individuals involved in election be x.
Percentage of those who were not vote = 100-(35+42) = 23%
The difference between those who voted
42% of x – 23% of x = 570
19% of x = 570
x=570*100/19 = 3000
• In a factory there are three types of bulbs L1, L2 and L3 which produces 20%, 15% and 32% of the total products respectively. L1, L2 and L3 produces 3%, 7% and 2% defective products, respectively. Find the percentage of non-defective products ?
1.46%
2.30%
3.53%
4.64%
5.None of these

Explanation :
(20*0.97)+(15*0.93)+(32*0.98) = 19.4+13.95+31.36
= 64.71
• In a class of 500 students  ,65%  are boys. 20% of the girls and 40% of the boys failed the exam.Find the of students in the school passed the exam?
1.335
2.270
3.400
4.362
5.None of these

Explanation :
Total students are 100% = 500
Boys = 65% of 500 = 325,
Girls = 35% =35*500/100 =175
Girls failed in the exam= 175*80/100 = 140
Boys failed in the exam =40/100x 325 = 195
Total = 140+195 = 335
• The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be
1.15.46%
2.16.64%
3.14.46%
4.12.56%
5.None of these

Explanation :
Total increase = 6+2 = 8%
% increase = 8+8+(8*8/100)  = 16+0.64 = 16.64%
• The total salary of Guagn and Harish in an organization is Rs 30000. If the salary of Gugan increase by 5% and salary of Harish increase by 7%, then their total salary would increase to Rs 31800. Find the salary of Harish ?
1.Rs.10,000
2.Rs.15,000
3.Rs.18,000
4.Rs.12,000
5.None of these

Explanation :
7% increases 30000 = Rs 2100 =30000+2100 = Rs 32,100
But the actual increase in salary = 31800
Difference =32100 – 31800 = 300
2% = 300
Gugan’s salary =300/2 x 100 = 15000
Harish’s salary =30000 – 15000 = Rs 15000
• In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?
1.37%
2.26%
3.43%
4.15%
5.None of these

Explanation :
Students passed in Prelims = 70%
Students passed in Mains = 55%
Students passed in both  = 62%
No of students passed in at least one subject = (70+55)-62 = 63%.
students failed in both subjects = 100-63 = 37%.

• In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.
A.8/15
B.7/15
C.4/5
D.1/5

A.8/15
Explanation:
Assume Total no of students = 100
60% of the students are boys. so Boys=60,Girls=40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60-32=28
No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32
Fraction=(scored less)/Total boys = 32/60 =8/15
• In an election 10% of the voters on the voters’ list did not cast votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and he got 308 votes more than his rival. The number of voters on the list was:
A. 3600
B. 6200
C. 4575
D. 6028

B. 6200
Explanation:
Let total number of voters= x
People who voted for the winner are = 0.47x
People who voted for the loser are = 0.47x-308
People who cast blanks are = 60
and people who did not vote are = 0.1x
solve the following equation
0.47x+0.47x-308+60+0.1x=x => x=6200
• Deepak was to get a 50% hike in his pay but the computer operator wrongly typed the figure as 80% and printed the new pay slip. He received this revised salary for three months before the organization realized the mistake. What percentage of his correct new salary will get in the fourth month, if the excess paid to him in the previous three months is to be deducted from his fourth month?
A. 30%
B. 40%
C. 45%
D. 25%

B. 40%
Explanation:
Assume Deepak’s salary =10000
original hike(50%) amount = 5000 ; Revised salary =15000
Wrongly typed(80%) hike amount = 8000
Diff = 3000; For three months = 9000
Fourth Month Salary = 15000-9000=6000
15000*x/100 = 6000 => x=40%
• The prices of two articles are in the ratio 3 : 4. If the price of the first article be increased by 10% and that of the second by Rs. 4, the original ratio remains the same. The original price of the second article is
A. Rs.40
B. Rs.35
C. Rs.10
D. Rs.30

A. Rs.40
Explanation:
Let the price of two articles are 3X and 4X.
After increment the ratio will be:
110% of 3x/(4X+4) = 3/4
x=10
Thus the CP of second article = 4X = 4*10 = Rs. 40.
• The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is
A. 30%
B. 60%
C. 75%
D. 78%

D. 78%
Explanation:
Consider Total no of students = 100
Ratio is 3:2 i.e Boys=60 and Girls=40
20% of boys who get scholarship = 60*20/100=12%
25% of girls who get scholarship = 40*25/100 =10%
Therefore % of students who do not get scholarship =100-(12+10) = 78%
• Sohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much total amount did he spend on food and insurance policy together?
A. Rs.3146
B. Rs.3126
C. Rs.3136
D. Rs.3048

C. Rs.3136
Explanation:
Total amount = x
Savings(%)
[100 – (23 + 33 + 19 + 16 )]% = 9 %
9% of x = 504
=> x = 504 * 100/9 = 5600
Amount spend on food and insurance policy together = 56% of 5600 = Rs.3136
• Deepika went to a fruit shop with a certain amount of money. She retains 15% of her money for auto fare. She can buy either 40 apples or 70 oranges with that remaining amount. If she buys 35 oranges, how many more apples she can buy?
A. 35
B. 40
C. 15
D. 20

D. 20
Explanation:
Assume Total amount = Rs.100
Auto fare= 15% of Total amount i.e Rs.15
Now the amount is Rs.85
Price of 70 oranges = Rs.85
Price of 35 oranges = (85/70)*35 = Rs. 42.50
Remaining amount to buy apples is =Rs. 42.50
Price of 40 apples = Rs.85
Price of X apples = Rs.42.50
X=(85/42.5)*40 = 20 Apples
• The price of a car is Rs. 4,50,000. It was insured to 80% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
A. Rs.1,76,375
B. Rs.3,24,000
C. Rs.1,82,150
D. Rs.1,26,000

D. Rs.1,26,000 Explanation:
4,50,000*( 80/100)*(90/100)= 324000
450000 – 126000 = Rs.1,26,000
• The tank-full petrol in Arun’s motor-cycle last for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last?
A.4
B.6
C.8
D.10

C.8
Explanation:
Assume – Arun’s motorcycle uses 1L per day and therefore tank’s Capacity = 10L.
25% increased per day= 1+(25/100) = 5/4 ie. 1.25L per day
Days = 10/1.25 = 8
• Last year there were 610 boys in a school. The number decreased by 20 percent this year. How many girls are there in the school if the number of girls is 175 percent of the total number of boys in the school this year ?
A. 854
B. 848
C. 798
D. 782