Profit and Loss
- By selling cloth at Rs. 9 per metre, a shopkeeper loses 10%. Find the rate at which it should be sold so as to earn profit of 15%.
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Let the C.P. of cloth be Rs. y per metre.
According to the questiony × 90 = 9 100 ⇒ y = 900 = 10 90
To gain 15%,
Correct Option: D
Let the C.P. of cloth be Rs. y per metre.
According to the questiony × 90 = 9 100 ⇒ y = 900 = 10 90
To gain 15%,S.P. = Rs. 
10 × 115 
= Rs. 11.50 per metre 100
- Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is
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Let the C.P. of the book be Rs. y.
∴ S.P. of the book = Rs. 70y 100 S.P. of the book = Rs. 7y 10
Case II,140y = 7y + 140 100 10 ⇒ 14y - 7y = 140 10 10
Correct Option: B
Let the C.P. of the book be Rs. y.
∴ S.P. of the book = Rs. 70y 100 S.P. of the book = Rs. 7y 10
Case II,140y = 7y + 140 100 10 ⇒ 14y - 7y = 140 10 10 ⇒ 7y = 140 ⇒ 7y = 1400 10 ⇒ y = 1400 = Rs. 200 7
- A shopkeeper buys 80 articles for Rs. 2400 and sells them for a profit of 16%. Find the selling price of one article.
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Here , C.P. of each article = Rs. 2400
C.P. of each article = 2400 = Rs. 30 80
Profit = 16%
Correct Option: B
Here , C.P. of each article = Rs. 2400
C.P. of each article = 2400 = Rs. 30 80
Profit = 16%∴ S.P. of each article = Rs. 30 × 116 = Rs. 34.80 100
- If percentage of profit made,when an article is sold for Rs.78, is twice as when it is sold for Rs.69, the cost price of the article is
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As per the given in question ,
First S.P. = Rs. 78 , Second S.P. = Rs. 69
Initial profit on article = First S.P. - Second S.P.
Initial profit on article = Rs. (78 – 69) = Rs. 9Correct Option: D
As per the given in question ,
First S.P. = Rs. 78 , Second S.P. = Rs. 69
Initial profit on article = First S.P. - Second S.P.
Initial profit on article = Rs. (78 – 69) = Rs. 9
∴ C.P. of article = Rs. (69 – 9) = Rs. 60
- A dealer sold an article at 6% loss. Had he sold it for Rs. 64 more, he would have made a profit of 10%. Then the cost of the article is
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Let C.P. of article = Rs. y
According to the question,∴ 94y + 64 = y × 110 100 100 ⇒ 110y - 94y = 64 100 100
Correct Option: A
Let C.P. of article = Rs. y
According to the question,∴ 94y + 64 = y × 110 100 100 ⇒ 110y - 94y = 64 100 100 ⇒ 16y = 64 ⇒ y = 64 × 100 = Rs. 400 100 16
