RS Aggarwal Class 8 Math Tenth Chapter Profit and Loss Exercise 10B Solution
EXERCISE 10B
(1) The marked price of a water cooler is Rs 4650. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
(2) The price of a sweater was slashed from Rs 960 to Rs 816 by a shopkeeper in the winter season. Find the rate of discount given by him.
(3) Find the rate of discount being given on a shirt whose selling price is Rs 1092 after deducting a discount of Rs 208 on its marked price.
(4) After allowing a discount of 8% on a toy, it is sold for Rs 216.20. Find the marked price of the toy.
Solution: Selling price = Rs 216.20
Rate of discount = 8%
(5) A tea set bought for Rs 528 after getting a discount of 12% on its marked price. Find the marked price of tea set.
(6) A dealer marks his goods at 35% above the cost price and allows a discount of 20% on the marked price. Find his gain or loss per cent.
Solution: Let the cost price be Rs 100.
Then, the market price = Rs (100 + 35) = Rs 135
(7) A cellphone was marked at 40% above the cost price and discount of 30% was given on its marked price. Find the gain or loss per cent made by the shopkeeper.
Solution: Let the Cost price be Rs 100.
Market price = Rs (100 + 40) = Rs 140
(8) A dealer purchased a fan for Rs 1080. After allowing a discount of 25% on its marked price, he gains 25%. Find the marked price of fan.
⇒ 75x = 135000
⇒ x = 1800
Hence, the market price is Rs 1800.
(9) A dealer bought a refrigerator for Rs 11515. After allowing a discount of 16% on its marked price, he gains 20%. Find the marked price of the refrigerator.
⇒ 84x = 1381800
⇒ x = 16450
Hence, the market price is Rs 16450.
(10) A jeweller allows a discount of 16% to his customers and still gains 20%. Find the marked price of a ring which costs the jeweller Rs 1190.
⇒ 84x = 142800
⇒ x = 1700
Hence, the market price is Rs 1700.
(11) After allowing a discount of 10% on the marked price, a trader still makes a gain of 17%. By what per cent is the marked price above the cost price?
Solution: Let the cost price be Rs 100.
Selling price = Rs (100 + 17) = Rs 117
Let the market price be Rs x.
⇒ x = 130
Hence, the market price is (130 – 100) = 30% above the cost price.
(12) How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 10% on the marked price, he gains 8%?
Solution: Let the cost price be Rs x.
Selling price = Rs (100 + 8) = Rs 108
Let the market price be Rs x.
Hence, the market price is (120 – 100) = 20% above the cost price.
(13) The marked price of TV is Rs 18500. A dealer allows two successive discounts of 20% and 5%. For how much is the TV available?
(14) Find the single discount which is equivalent to two successive discounts of 20% and 5%.
Solution: Let the market price be Rs 100.
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