1.

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?1). 2502). 5003). 7504). 1000

Answer»

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.


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