Profit and Loss
- Sandeep sells an article at a loss of 10%. Had he bought it at 20% less and sold it for Rs. 55 more, he could have gained 40%. What is the cost price of the article?
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Case I :
Suppose C.P. of article = Rs. y
At 10% loss ,First S.P. = Rs. 9y 10
Case II :
At 20% less ,C.P. = 80y = Rs. 4y 100 5
According to the question,4y × 140 - 9x = 55 5 100 10 ⇒ 56x - 9y = 55 50 10
Correct Option: C
Case I :
Suppose C.P. of article = Rs. y
At 10% loss ,First S.P. = Rs. 9y 10
Case II :
At 20% less ,C.P. = 80y = Rs. 4y 100 5
According to the question,4y × 140 - 9x = 55 5 100 10 ⇒ 56x - 9y = 55 50 10 ⇒ 56y - 45y = 55 50
⇒ 11y = 50 × 55⇒ y = 50 × 55 = Rs. 250 11
- A T.V was sold at a profit of 5%. If it had been sold at a profit of 10%, the profit would have been Rs. 1000 more. What is its cost price?
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Let the C.P. of television be Rs. y.
According to the question,
(10 – 5)% of y = 1000
⇒ 5% × y = 1000⇒ y = 5 = 1000 100
Correct Option: A
Let the C.P. of television be Rs. y.
According to the question,
(10 – 5)% of y = 1000
⇒ 5% × y = 1000⇒ y = 5 = 1000 100 ⇒ y = 1000 × 100 = Rs. 20000 5
- 5% more is gained by selling a watch for Rs. 350 than by selling it for Rs. 340. The cost price of the watch is
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Let C.P. of watch = Rs. y
Difference between selling prices = Rs. (350 – 340) = Rs. 10
According to the question,
5% of y = 10⇒ 5y = 10 100
Correct Option: C
Let C.P. of watch = Rs. y
Difference between selling prices = Rs. (350 – 340) = Rs. 10
According to the question,
5% of y = 10⇒ 5y = 10 100
⇒ 5y = 1000⇒ y = 1000 = Rs. 200 5
Hence , C.P. of watch is Rs. 200 .
- The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs. 28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is
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Let the C.P. of bucket be Rs. y.
According to the question,108y - 92y = 28 100 100 ⇒ 16y = 28 100
Correct Option: C
Let the C.P. of bucket be Rs. y.
According to the question,108y - 92y = 28 100 100 ⇒ 16y = 28 100 ⇒ y = 28 × 100 = Rs. 175 16
- A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $ 225/- for it, the cost price of the bicycle for A is :
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Let the cost price of the bicycle for A be $ y
At 20% profit , Cost price for B = selling price for A = 1.20y
At 25% profit , Cost price for C = selling price
for B = (1.25) (1.20y) = 1.5y
But 1.5y = 225∴ y = 225 = $ 150 1.5
∴ The cost price of the bicycle for A = $ 150
Using the given formula :
Here, r1 = 20%, r1 = 25%
C.P. for C = C.P. for A
225 = C.P. for A
Correct Option: D
Let the cost price of the bicycle for A be $ y
At 20% profit , Cost price for B = selling price for A = 1.20y
At 25% profit , Cost price for C = selling price
for B = (1.25) (1.20y) = 1.5y
But 1.5y = 225∴ y = 225 = $ 150 1.5
∴ The cost price of the bicycle for A = $ 150
Using the given formula :
Here, r1 = 20%, r1 = 25%
C.P. for C = C.P. for A
225 = C.P. for A
C.P. for A = 225 × 100 × 100 = $ 150 120 × 125
