# Aptitude Questions – Profit and Loss

• A retailer sold 12 notes at a profit of 20% and 8 notes at a profit of 10%. If he had sold all the 20 notes at a profit of 15%, then his profit would have been reduced by Rs.36. What is the cost price of each note?
A.Rs.160
B.Rs.190
C.Rs.120
D.Rs.180
E.None of these

Explanation :
Cost Price = x
Total Profit = 12x * 20/100 + 8x * 10/100 = 32x/100 = 3.2x —(i)
Total Profit = 20x * 15/100 — (ii)
3.2x – 3x = 36
0.2x = 36
x = 180
• The profit Percentage on 3 bikes are 15%, 35% and 10% and the ratio of CP is 5:3:1. Also the ratio of the Bike sold of P, Q and R is 2:3:5. Then the overall approximate Profit Percentage is?
A. 19%
B. 20%
C. 16%
D. 21%
E. None of these

Explanation:
5x * 2y + 3x * 3y + x * 5y = 24xy
Total Profit = (5x*2y*15/100)+(3x*3y*35/100)+(x*5y*10/100)
= 515xy/100
= 5.15xy
Overall Profit Percentage = 5.15xy * 100/24xy = 21.46%
• When a shopkeeper reduces the selling price of an article from 1180 to 1126 his loss increases by 5% . What is the cost price of article?
A. 1050
B. 1060
C. 1070
D. 1080
E. None of these

Explanation :
5% of CP = 1180 – 1126
CP = 54 * 100 / 5 = 1080
• A and B, there are two companies, selling the packs of cold-drinks. For the same selling price A gives two successive discounts of 10% and 25%. While B sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?
A. 143 : 144
B. 19 : 11
C. 136 : 135
D. 73 : 77
E. None of these

Answer – C. 136 : 135
Explanation :
A = 90/100*75/100
= .675
B = 85/100*80/100
= .68
680:675
136:135
• A reputed company sells a wrist watch to a wholesaler making a profit of 10%. The wholesaler, in turn, sells it to the retailer making a profit of 10%. A customer purchases it by paying Rs. 990. Thus the profit of retailer is 2(3/11)% What is the cost incurred by the the company to produce it?
A. 700
B. 600
C. 800
D. 900
E. None of these

Explanation :
x*110/100*110/100*(100 + 25/11)/100 = 990
x = 800
• A and B both are dealers of Honda Motorcycles. The price of an used Honda Motorcycle is Rs.28,000. A gives a discount of 10% on whole, while B gives a discount of 12% on the first Rs. 20,000 and 8% on the rest Rs. 8000. What is the difference between their selling prices?
A. Rs.240
B. Rs.420
C. Rs.640
D. Rs.740
E. None of these

Explanation :
Discount offer by A = 10 % of 28000 = 2800
Total Discount offer by B = 12% of 20,000 + 8% of 8000 = 3040
Required difference = 3040 – 2800 = 240
• The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but A calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?
A. 40
B. 50
C. 60
D. 70
E. None of these

Explanation :
Explanation:
Profit(Calculated on SP) = 20% of 1800 = 360
Profit(calculated on CP)
x + x/5 = 1800
x = 1500
Profit = 300
Difference = 360 – 300 = 60
• A person sold a pen at Rs. 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit then new selling price will be?
A. Rs.132
B. Rs.150
C. Rs.192
D. Rs.180
E. None of these

Explanation :
CP = x
Profit Percentage = x%
SP = x(100 + x)/100
x(100 + x)/100 = 96
x = 60
Profit Percentage = 60%
New SP = 60 * 220 / 100 = 132
• A trader mixes 25% of solution A to his Solution B and then he sells the whole mixture at the price of Solution B. If the cost price of Solution A be 50% of the cost price of Solution B, what is the net profit percentage?
A. 100/3%
B. 200/7%
C. 100/9%
D. 200/3%
E. None of these

Explanation :
Quantity of Solution B = 100 litre
Quantity of Solution A = 25 litre
CP of 1 litre Solution B = Rs.10
CP of 1 litre Solution A = Rs.5
CP = 100 * 10 + 25 * 5 = 1125
SP = (100 + 25)*10 = 1250
Profit = 1250 – 1125 = 125
% = 125 * 100 / 1125 = 100/9%
• A scientist mixes 10% water in his solution but he is not content with it so he again mixes 10% more water in the previous mixture. What is the profit percentage of the scientist if he sells it at cost price:
A. 15%
B. 21%
C. 18%
D. 16%
E. None of these