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A sold a pen to B at Rs. 60 profit. ‘B’ increased its marked price by 50% and then sold it to C at a discount at 25%. Profit earned by ‘B’ is Rs. 10 more than A. Find A’s cost price?
- A250
- B500
- C750
- D1000
Answer not set
Discussion 1
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CCommunity
Given,
Profit after A sold pen = Rs. 60
Let the A's cost price of a pen be Rs. a.
Purchased price of B = selling price of B = Rs. (60 + a)
Given,
B increased its marked price by 50%
New marked price of pen = (60 + a) + (60 + a) × 50/100
= 60 + a + 30 + a/2
= 90 + 3a/2
Given,
B sold pen to C at 25% discount.
Selling price of B
= (90 + 3a/2) - (90 + 3a/2) × 25/100
= (360 + 6a - 90 - 3a/2)/4
= (270 + 9a/2)/4
B had Rs. 10 more profit than A.
Profit amount for B = 60 + 10 = 70
Then,
⇒ 70 = (270 + 9a/2)/4 - (60 + a)
⇒ 280 = 270 + 9a/2 - 240 - 4a
⇒ 560 = 540 + 9a - 480 - 8a
⇒ a = 500
∴ A's cost price of a pen is Rs. 500.
Profit after A sold pen = Rs. 60
Let the A's cost price of a pen be Rs. a.
Purchased price of B = selling price of B = Rs. (60 + a)
Given,
B increased its marked price by 50%
New marked price of pen = (60 + a) + (60 + a) × 50/100
= 60 + a + 30 + a/2
= 90 + 3a/2
Given,
B sold pen to C at 25% discount.
Selling price of B
= (90 + 3a/2) - (90 + 3a/2) × 25/100
= (360 + 6a - 90 - 3a/2)/4
= (270 + 9a/2)/4
B had Rs. 10 more profit than A.
Profit amount for B = 60 + 10 = 70
Then,
⇒ 70 = (270 + 9a/2)/4 - (60 + a)
⇒ 280 = 270 + 9a/2 - 240 - 4a
⇒ 560 = 540 + 9a - 480 - 8a
⇒ a = 500
∴ A's cost price of a pen is Rs. 500.