Profit and Loss
- If a commission at the rate of 10% is given to a bookseller on the marked price of a book by the publisher, the publisher gains 20%. If the commission is increased to 15%, then the gain percent would be:
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Let Marked price of book = Rs. y
and C.P. of a book = Rs. 100
According to the question,y × 90 = 120 100 ⇒ y = 120 × 100 = Rs. 400 90 3
If commission be 15%, thenS.P. = 400 × 85 = 340 3 100 3
Correct Option: B
Let Marked price of book = Rs. y
and C.P. of a book = Rs. 100
According to the question,y × 90 = 120 100 ⇒ y = 120 × 100 = Rs. 400 90 3
If commission be 15%, thenS.P. = 400 × 85 = 340 3 100 3
S.P. = Rs. 113.33
Gain = 113.33 - 100 = 13.33∴ Gain % = 13 1 % 3
- A shopkeeper has 11 books of same cost price. He sells the first book at a certain price, then he sells second book at a price which is Rs. 1 less than the selling price of first book and then he sells third book at a price which is Rs. 1 less than the selling price of second book. Following this pattern, he sold all 11 books. If he sells sixth book at its cost price. Find the overall percent profit or loss on selling all 11 books.
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S.P. of first book = Rs. 6
According to the question,
Gain on first 5 books = 5 + 4 + 3 + 2 + 1 = 15
Loss on last 5 books = 5 + 4 + 3 + 2 + 1 = 15Correct Option: D
S.P. of first book = Rs. 6
According to the question,
Gain on first 5 books = 5 + 4 + 3 + 2 + 1 = 15
Loss on last 5 books = 5 + 4 + 3 + 2 + 1 = 15
Hence, No loss or gain .
- Simon purchased a bicycle for Rs. 6810. He had paid a VAT of 13.5%. The list price of the bicycle was
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Given that , CP of a bicycle = Rs. 6810
Suppose Marked price of bicycle = Rs. y
According to the question,
y × 113.5% = 6810⇒ y × 113.5 = 6810 100
Correct Option: A
Given that , CP of a bicycle = Rs. 6810
Suppose Marked price of bicycle = Rs. y
According to the question,
y × 113.5% = 6810⇒ y × 113.5 = 6810 100 ⇒ y = 6810 × 100 = Rs. 6000 113.5
- A man sells an article at 5% above its cost price. If he had bought it at 5% less than what he had paid for it and sold it at Rs. 2 less, he would have gained 10%. The cost price of the article is
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Suppose C.P. of article = Rs. y
S.P. at 5% profit = Rs. 105y = Rs. 21y 100 20 New C.P. of article = 95y 100 New C.P. of article = Rs. 19y 20 S.P. = Rs. 19y × 110 20 100 New C.P. of article = Rs. 209y 200
According to the question ,21y - 209y = 2 20 200
Correct Option: B
Suppose C.P. of article = Rs. y
S.P. at 5% profit = Rs. 105y = Rs. 21y 100 20 New C.P. of article = 95y 100 New C.P. of article = Rs. 19y 20 S.P. = Rs. 19y × 110 20 100 New C.P. of article = Rs. 209y 200
According to the question ,21y - 209y = 2 20 200 ⇒ 210y - 209y = 2 200 ⇒ y = 2 200
⇒ y = Rs. 400
- A house worth Rs. 1,50,000 is sold by X to Y at 5% profit. Y sells the house back to X at 2% loss. Then in the entire transaction :
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On the basis of above given question ,
at 5% profit ,C.P. for Y = 150000 × 105 = Rs. 157500 100 S.P. for Y at 2% loss = 157500 × 98 = Rs. 154350 100
Correct Option: A
On the basis of above given question ,
at 5% profit ,C.P. for Y = 150000 × 105 = Rs. 157500 100 S.P. for Y at 2% loss = 157500 × 98 = Rs. 154350 100
∴ X’s gain = S.P. for Y - C.P. for Y
∴ X’s gain = Rs. (157500 – 154350)
= Rs. 3150