Profit and Loss
- The C.P. of two shirts taken together is $ 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the C.P. of the two shirts are respectively :
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Given in question , C.P. of two shirts = $ 840
Let the CP of shirt sold at 16% gain be Rs. y.∴ y × 116 + (840 - y) × 88 = 840 100 100
⇒ 116y + 88 × 840 – 88y = 84000
⇒ 28y = 84000 – 88 × 840 = 840 × 12⇒ y = 840 × 12 = Rs. 360 28
CP of second shirt = 840 – 360 = Rs. 480
Second Method to solve this question :
Let the CP of shirt sold at gain be Rs. p and that of shirt sold at loss be Rs. q.∴ p × 16 = q × 12 100 100
Correct Option: A
Given in question , C.P. of two shirts = $ 840
Let the CP of shirt sold at 16% gain be Rs. y.∴ y × 116 + (840 - y) × 88 = 840 100 100
⇒ 116y + 88 × 840 – 88y = 84000
⇒ 28y = 84000 – 88 × 840 = 840 × 12⇒ y = 840 × 12 = Rs. 360 28
CP of second shirt = 840 – 360 = Rs. 480
Second Method to solve this question :
Let the CP of shirt sold at gain be Rs. p and that of shirt sold at loss be Rs. q.∴ p × 16 = q × 12 100 100 ⇒ p = 3 q 4 ⇒ p = 3 × 840 = Rs. 360 7 q = 4 × 840 = Rs. 480 7
- A man sells a television set at a profit of 10%. If he had bought it for 10% less and sold it for Rs. 360 less, he would have gained 20%. Find the cost price of the television set.
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Let the C.P. of television set be Rs. y.
First S.P. = Rs. 110 y 100 First S.P. = Rs. 11 y 10 New C.P. = Rs 9y 10 New S.P. = Rs. 9y × 120 10 100 New S.P. = Rs. 27y 25
From the question ,∴ 11y - 27y = 360 10 25
Correct Option: A
Let the C.P. of television set be Rs. y.
First S.P. = Rs. 110 y 100 First S.P. = Rs. 11 y 10 New C.P. = Rs 9y 10 New S.P. = Rs. 9y × 120 10 100 New S.P. = Rs. 27y 25
From the question ,∴ 11y - 27y = 360 10 25 ⇒ 55y - 54y = 360 50
⇒ y = 360 × 50 = Rs. 18000
- A dishonest tradesman marks his goods at an advance of 5 percent on the cost price, and uses a fraudulent balance whose beam is horizontal when the weight in one scale is one-fifth more than the weight in the other. What is his actual gain percent ?
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Suppose A packet of goods marked 1 kg
Actual weight = 800 gm.
C.P. at Re. 1/gm = Rs. 800S.P. of this packet = 105 × 1000 = Rs. 1050 100
Gain = 1050 - 800 = 250
Correct Option: D
Suppose A packet of goods marked 1 kg
Actual weight = 800 gm.
C.P. at Re. 1/gm = Rs. 800S.P. of this packet = 105 × 1000 = Rs. 1050 100
Gain = 1050 - 800 = 250Gain % =
250 × 100 = 31.25 800
- A man sold an article at a loss of 12%. If he had sold for Rs. 56 more he would have gained 4%. What was the cost price of the article?
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Let the C.P. be Rs. y.
S.P. = 88y =
Rs.22y 100 25 New S.P. = Rs. 
22y + 56 
25
From the question ,∴ 22y + 56 = 104y = 26y 25 100 25
Correct Option: D
Let the C.P. be Rs. y.
S.P. = 88y =
Rs.22y 100 25 New S.P. = Rs. 22y + 56 25
From the question ,∴ 22y + 56 = 104y = 26y 25 100 25 ⇒ 4y = 56 ⇒ y = 56 × 25 = Rs. 350 25 4
- A soap manufacturer supplies soap to wholesaler at 15% profit, wholesaler supplies these to retailer at 20% profit and retailer sells it to the consumer at 25% profit. If for the consumer the price of soap be Rs. 17.25, what is the manufacturing cost of the soap ?
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According to question ,
Manufacturing cost = 100 × 100 × 100 × 17.25 115 120 125
Correct Option: A
According to question ,
Manufacturing cost = 100 × 100 × 100 × 17.25 115 120 125 Manufacturing cost = 20 × 5 × 4 × 17.25 = Rs. 10 23 6 5
