Vardaan Learning Institute
Profit, Loss & Discount Worksheet
SECTION A: SHORT ANSWER (3 Marks Each)
1. A man sold a fan for ₹465. Find the cost price if he incurred a loss of $7\%$.
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2. If the manufacturer gains $10\%$, the wholesale dealer $15\%$ and the retailer $25\%$, then find the
cost of production of a table, if the retail price is ₹1265.
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3. A shopkeeper marks his goods in such a way that after allowing a discount of $25\%$ on the marked
price, he still makes a profit of $50\%$. Find the ratio of the C.P. to the M.P.
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4. A bag is marked at ₹80. It is sold for ₹68. The rate of discount is?
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5. By selling 33 m of cloth, a shopkeeper gains the selling price of 11 m of cloth. Find his gain per
cent.
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SECTION B: LONG ANSWER (5 Marks Each)
6. A dealer buys an article marked at ₹25,000 with a discount of $20\%$ and $5\%$ off. He spends ₹1,000
on its repair and sells it for ₹25,000. What is his gain or loss percent?
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7. Two articles are sold for ₹9,900 each. On one, the seller gains $10\%$ and on the other, he loses
$10\%$. Find his overall gain or loss percentage.
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8. A shopkeeper offers his customers a discount of $10\%$. On a certain day, he sold a cupboard for
₹5,400 and a dining table for ₹6,300. Find the marked price of each.
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9. Waheeda bought an air cooler for ₹3300 including a tax of $10\%$. Find the price of the air cooler
before VAT was added. Also, if the tax is increased to $12\%$, how much extra does she have to pay?
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10. A bicycle is sold at a gain of $16\%$. Had it been sold for ₹20 more, the gain would have been
$20\%$. Find the cost price of the bicycle.
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SECTION C: CHALLENGERS (5 Marks Each)
11. A shopkeeper allows $23\%$ commission on his advertised price and still makes a profit of $10\%$. If
he gains ₹56 on one item, find his advertised price.
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12. The list price of a frock is ₹220. A discount of $20\%$ is announced on sales. What is the amount of
discount on it and its sale price? If a second discount of $10\%$ is given on the reduced price, what is
the final selling price?
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13. By selling a cricket bat for ₹450, a man loses $10\%$. At what price should he sell it to gain
$5\%$?
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14. A grocer purchased 200 kg of rice at ₹25 per kg. He sold 80 kg at a gain of $10\%$ and 40 kg at a
loss of $4\%$. At what rate per kg should he sell the remainder to gain $8\%$ on his total investment?
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15. A trader marks his goods at such a price that he can deduct $15\%$ for cash and yet make a profit of
$20\%$. Find the marked price of an article which costs him ₹85.
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