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A book B is bought for Rs. 500 more than book A, which was bought for 1500 less than C. The ratio of price of B : C is 7 : 9. If the book A is sold at a price C was bought for and B is sold for 3000, find the price at which C should be sold so that no profit or no loss is incurred.


1. 3200
2. 3500
3. 3600
4. 3000

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Correct Answer - Option 2 : 3500

Given:

A book B is bought for Rs. 500 more than book A, which was bought for 1500 less than C.

The ratio of price of B: C is 7: 9.

Book A is sold at a price C was bought for and B is sold for 3000.

Formula used:

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

Profit percentage = (Profit/Cost Price) x 100

Loss percentage = (Loss/Cost price) x 100

Calculation:

Cost price of A, B, C

A = x,

B = x + 500,

C = x + 1500

Now selling price of A, B and C

A = x + 1500,

B = 3000,

C = y

ATQ,

(X + 500)/(x + 1500) = 7/9

⇒ X = 3000

As per question

3000 + 3500 + 4500 = 4500 + 3000 + y

⇒ Y = 3500

∴ selling price of C is Rs. 3500

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