ANSWERS
1–(3)
C.P of first article Rs. x(let)
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∴ C.P of second article = Rs. (7500 – x)
According to the question,
16x/100 = (7500 – x) × 14/100
= 16x = 7500 × 14 – 14x
= 16x + 14x = 7500 × 14
= 30x = 7500 × 14
x = 7500 × 14/30 = Rs. 620
2–.(4) C.P. of article= 120x/100 = Rs. 6x/5 = Rs.y
CaseII,
C.P = 85x/100 = Rs. 17x/20
S.P.. = y – 76
=Rs. (6x/ 5 – 76)
According to the question,
6x/ 5 – 76 = 17x/20 × 130/100
= 221x/200
= [(6x/5) – (221x/100)] = 76
= (240x – 221x)/200 = 76
= 19x/ 200 = 76
= x= (76 × 200)/19 = Rs. 800
3–(4)
Let C.P. of each orange be Rs. 100.
∴ Number of oranges
= 1200/100 = 12
According to the question
S.P. of 12 oranges
= 1200 × 110/100 = Rs. 1320
4 oranges are sold on 20% loss.
∴ Their S.P. = 400 × 80/100=Rs. 320
∴ Required S.P. of remaining8 orange 1320 – 320= Rs. 1000
∴ Required profit per cent
= (1000 – 800)/800 × 100 = 25%
4–(3)
Loss = Rs. x (let)
∴ Profit = Rs. 2x
According to the question,
C.P of article = Rs. (8000 + x)
or, Rs. (9800 – 2x)
∴8000 + x = 9800 – 2x
= 2x + x = 9800 – 8000
= 3x = 1800
x = 1800/3 = Rs. 600
∴ C.P. of article
= Rs. (8000 + 600)
= Rs. 8600
For a profit of 20%,
S.P. of article = 8600 × 120/100= Rs. 10320
5–(1)
Let the cost price of rice per kg be Rs. 1
Quantity of rice sold at 24% loss = x kg
∴ Quantity of rice sold at 36%
profit = (400 – x) kg
According to the question,
x × (100 – 24)% + (400 – x) × 136/100 = 400 × (100 –12%)
= x × 76/100 + (400 – x) × 136/100
= 400 × 88/100
= 76x + 400 × 136 – 136x
= 400 × 88
= 136x – 76x = 400(136 – 88)
= 60x = 400 × 48
= x = 400 × 48/60= 320 kg
6–(4)
Quantity of rice sold at 20% loss= x kg (let)
∴ Quantity of rice sold at 15% gain = (600 – x ) × 115/100+ (x × 80)/100
= 600 × 94/100
= 115 × 600 – 115x + 80x
= 600 × 94
= 69000 – 35x = 56400
=35x = 69000 – 56400
= 35x = 12600
= x = 12600/35
= 360 kg
7–(3)
Single equivalent discount for 10% and 15%
= [15 + 10 – 15 × 10/100]%
= 23.5%
∴ C.P. of table= 200 × (100 – 23.5)%
= 200 × 76.5/100 = Rs. 153
Expense on transport = Rs. 7
∴ Actual C.P. = 153 + 7 = Rs. 160
∴ Profit Per cent= (208 – 160)/160 × 100
= 4800/160 = 30%
8–(1)
Total C.P. = Rs. 100
Marked price = Rs. 150
S.P of one third stock =Rs. 50
Remaining stock = Rs. 100
S.P of half stock
= 50 × 92.86/100
= Rs. 46.43
S.P of remaining half stock
= 50 × 83.33/100 = Rs. 41.665
Total S.P.= (50 + 46.43 + 41.665)
= Rs. 138.095
∴ Profit per cent= 38%
9–(2)
Let the C.P of each mobile phone be Rs. x.
According to the question,
x × 130/100 + x × 130/100 – 2500
=50x/100 = 2500
= x = 2500 × 100/50 = Rs. 5000
10–(3)
Let the investment in1995 be Rs. x
∴ Income in 1995 with 20% profit = 1.20x
Also the income in1996 = 1.20x
Investment in 1996= Rs. (x – 5000)
Profit in1996 = (20 + 6)% = 26%
Income in1996 with 26% profit
= 1.26 (x – 5000)
∴ 1.26 (x – 5000) = 1.20x
0.06x = 1.26 × 5000
x = 6300/00.6
x = Rs. 105000
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