MATHEMATICS
PROFIT & LOSS
1. A man sold two scooters each at the same price, on one he gained 25% and on the other he lost 25%. On the
whole he would
(a) loss (b) gain (c) nothing can be said definitely
(d) gain or loss depends on S.P. (e) None of these
2. A man sells two houses each at Rs. 1232, he gains 15% on one house and loses 15% on the other. Find his total
gain or loss percent
(a) profit 5% (b) profit 2.25% (c) profit 4.25% (d) neither loss nor gain (e) None
3. A man sells two sites for Rs. 19550 each. On one he gains 15 percent and on the other he loses 15 percent.
Find total gain or loss.
(a) Rs. 900 (b) Rs. 800 (c) Rs. 1000 (d) Rs. 1200 (e) None of these
4. C.P. of 15 articles is the same as selling price of 12 articles. The profit percentage in transaction is
1
(a) 25% (b) 30% (c) 33 % (d) 50% (e) None of these
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5. By selling 33 metres cloth a man gains equal to the selling price of 11 metres of cloth. Find his gain percent.
(a) 40% (b) 50% (c) 55% (d) 60% (e) None of these
6. A man sold his watch at a loss of 5%. Had he sold it for Rs. 56.25 ps. more, he would have gained 10%. Find
the cost price of the watch.
(a) Rs. 300 (b) Rs. 325 (c) Rs. 350 (d) Rs. 375 (e) None of these
7. A bicycle is sold at a gain of 16%. It it had been sold for Rs. 20 more, 20% would have gained. The cost price
of the bicycle is
(a) Rs. 400 (b) Rs. 600 (c) Rs. 500 (d) Rs. 760 (e) None of these
8. When a discount of 10% is given on goods being sold at 20% profit, the sales double, what is the ratio of
previous and present profit?
(a) 2 : 1 (b) 1 : 2 (c) 5 : 4 (d) 4 : 5 (e) None of these
9. A tradesman’s prices are 20% above cost price. He allows his customers some discount on his bill and makes a
profit of 8%. The discount allowed is:
(a) 12% (b) 6% (c) 10% (d) 8% (e) None of these
10. A tradesman’s prices are 20% above cost price. If he allows his customers a discount of 10% on his bill, what
profit does he make:
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(a) 16 % (b) 10% (c) 15% (d) 16% (e) None of these
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11. 5% more in gained by selling a cow for Rs. 350 than by selling it for Rs. 340 Find the cost price of the cow.
(a) Rs. 75 (b) Rs. 100 (c) Rs. 150 (d) Rs. 250 (e) None of these
12. A dealer marks his goods in such a way that even after deducting a discount of 12 ½% to the customer on cash
payment he gains 20% profit. Find the marked price of the goods which he buys for Rs. 140
(a) Rs. 190 (b) Rs. 192 (c) Rs. 196 (d) Rs. 180 (e) None of these
13. A man bought pens at 5 for Rs. 3 and sold them at 3 for 5. His gain % is:
(a) 20% (b) 50% (c) 150% (d) 200% (e) None of these
14. If I sell a horse for Rs. 620 and a cow for Rs. 260, I gain 10% of the original cost of both but if I sell the horse
for Rs. 630 and the cow for its original price, I loss 10%. The original cost of the cow is:
(a) Rs. 630 (b) Rs. 260 (c) Rs. 90 (d) Rs. 50 (e) None of these
15. A grocer sells rice at a profit of 10% and uses a weight 20% less. Find his total percentage gain.
(a) 20% (b) 25% (c) 35% (d) 37.5% (e) None of these
16. A man bought a chair and sold it at a gain of 20%. Had he bought it for 20% less and sold it for Rs. 20 more,
he would have gained 60%. Find the cost price of the chair:
(a) Rs. 200 (b) Rs. 250 (c) Rs. 300 (d) Rs. 150 (e) None of these
1
17. Apples are bought at 5 for a rupee and an equal number at 10 for a rupee. They are mixed and sold at 6 for a
rupee. Find gain %:
1 2
(a) 10% (b) 20% (c) 33 % (d) 66 % (e) None of these
3 3
18. A shopkeeper loses 40% when he sells 32 oranges for Rs. 1. Find out the rate at which he should sell them to
gain 20%
(a) 16 oranges for Rs. 1 (b) 20 oranges for Rs. 1 (c) 25 oranges for Rs. 1
(d) 30 oranges for Rs. 1 (e) None of these
19. A fruit vender purchases some fruits at the rate of Rs. 8 per dozen and the same quantity at the rate of Rs. 12
for 20. He gains Rs. 56 by selling all of them at the rate of Rs. 9 per dozen. Find the number of fruits purchases
by him.
(a) 500 (b) 600 (c) 480 (d) 350 (e) None of these
20. A purchases a house for Rs. 12500 and sold it to B at a gain of 8%, B sold the same house to C at a gain of 6%.
Find the cost price of C.
(a) Rs. 14310 (b) Rs. 1500 (d) Rs. 1600 (d) Rs. 1800 (e) None of these
21. A man bought a number of oranges at the rate of Rs. 1 for 3 and an equal number at the rate of Rs. 1 for 2. At
what price per dozen he should sell them to make a profit of 20%?
(a) Rs. 4 (b) Rs. 5 (c) Rs. 6 (d) Rs. 7 (e) None of these
22. By selling a book for Rs. 31 a person loses 7% his outlay. If he sells the same book for Rs. 35, the bargain is
(a) 4% loss (b) 4% profit (c) 5% loss (d) 5% profit (e) None of these
23. A dealer sold a machine to a shopkeeper at 20% profit. The shopkeeper sold the machine to a customer so as to
get 25% profit for himself. The difference between the selling price of the dealer and that of the shopkeeper
was found to be Rs. 129. Find the initial price of the machine.
(a) Rs. 450 (b) Rs. 550 (c) Rs. 430 (d) Rs. 500 (e) None of these
24. A tradesman marks on article with a price which would give him a profit of 20% on the cost price. If the
customer pays cash, however, the tradesman makes a deduction of 5% from the marked price. Find the actual
profit received from the sale of an article for which the tradesman is paid Rs. 28 and 50 paise.
(a) Rs. 4.00 (b) Rs. 3.50 (c) Rs. 8.00 (d) Rs. 25.00 (e) None of these
25. A man purchases some oranges at the rate of Rs. 1 for 6 and equal number at the rate of Rs. 1 for 4. He mixed
them and sold at the rate of 20 paise each. Find his gain or loss percent
(a) loss 5% (b) loss 4% (c) profit 5% (d) profit 4% (e) None of these
26. A man bought some eggs at the rate of Rs. 1 for 3 and equal number at the rate of Rs. 1 for 5. He mixed them
all and sold at the rate of Rs. 1 for 4 he will on the whole
(a) gain (b) loss (c) neither loss nor gain
(d) depends on the numbers of eggs (e) None of these
27. If the ratio of the cost price and the selling price is 5 : 6, the gain percent is
1
(a) 20% (b) 33 % (C) 25% (d) 30% (e) None of these
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28. Profit after selling a commodity for Rs. 524 is the same as loss after selling for Rs. 452. The cost price of the
commodity is
(a) Rs. 480 (b) Rs. 500 (c) Rs. 488 (d) Rs. 485 (e) None of these
29. A dishonest dealer professes to sell his goods at cost price, but he uses a weight of 960 gm for 1 kg weight.
Find his gain percent.
(a) 4% (b) 4.5% (c) 5% (d) 7 ½% (e) None of these
30. A shopkeeper purchases an article and defrauds by 10%, while selling, he again defrauds by 10%. Then find
his total gain percent in the transaction?
(a) 20% (b) 21% (c) 22% (d) 25% (e) None of these