Profit and Loss
- Arvind purchased a wristwatch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his per cent loss on the labelled price?
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Let Marked price = $ y
∴ C.P. = 7y 10 S.P. = 7y × 140 = 98y 10 100 100 ∴ Loss = y – 98y = 2y 100 100
Correct Option: A
Let Marked price = $ y
∴ C.P. = 7y 10 S.P. = 7y × 140 = 98y 10 100 100 ∴ Loss = y – 98y = 2y 100 100 ∴ Loss percent = ( 2y / 100 ) × 100 y Loss percent = 2y × 100 = 2% 100 × y
- The profit percent of a bookseller if he sells book at marked price after enjoying a commission of 25% on marked price will be :
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If the marked price be Rs. 100, then
C.P. = ( 100 - 25 ) = $ 75
S.P. = $ 100
Gain = SP - CP = 100 - 75 = $ 25∴ Gain percent = Gain × 100 C.P. Gain percent = 25 × 100 75
Correct Option: D
If the marked price be Rs. 100, then
C.P. = ( 100 - 25 ) = $ 75
S.P. = $ 100
Gain = SP - CP = 100 - 75 = $ 25∴ Gain percent = Gain × 100 C.P. Gain percent = 25 × 100 75 Gain percent = 100 = 33 1 % 3 3
- A shopkeeper offers a discount of 10% on his articles. The marked price of the article is $ 450. The selling price should be
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Given that , The marked price of the article = $ 450
Discount ( D ) = 10%∴ S.P. of article = Marked price × ( 100 - D ) 100
Correct Option: C
Given that , The marked price of the article = $ 450
Discount ( D ) = 10%∴ S.P. of article = Marked price × ( 100 - D ) 100 S.P. of article = 450 × 90 = $ 405 100
- A shopkeeper marked the selling price of his goods in such a way that after giving a discount of 10% he gains 17%. How much percent above the cost price is the marked price?
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Let C.P. of the article = $ 100 and marked price = y
∴ y × 90 = 117 100
Correct Option: C
Let C.P. of the article = $ 100 and marked price = y
∴ y × 90 = 117 100 ⇒ y = 117 × 100 = 130 90
Hence , Required percent is 30% above C.P .
- A tradesman marks his goods 30% more than the cost price. If he allows a discount of (25 / 4)% , then his gain percent is
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C.P. of article = $ 100
∴ Marked price = $ 130
Selling priceSelling price = 130 × 375 = $ 975 400 8 Selling price = $ 121 7 8
Correct Option: C
C.P. of article = $ 100
∴ Marked price = $ 130
Selling priceSelling price = 130 × 375 = $ 975 400 8 Selling price = $ 121 7 8 Gain = 121 7 - 100 = 21 7 8 8 ∴ Gain % = 21 7 % 8