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An amount is distributed among A,B and C in the ratio of 5:7:15. If A's share is ₹ 1,500 , then the total amount is:
Question

An amount is distributed among A,B and C in the ratio of 5:7:15. If A's share is ₹ 1,500 , then the total amount is:

A.

₹ 5,400

B.

₹ 2,700

C.

₹ 8,100

D.

₹ 4,200

Correct option is C

Given:

The ratio of amounts distributed among A, B, and C is 5:7:15.

A's share is ₹1,500.

Solution:

Let the total amount be T.

The amounts received by A, B, and C are in the ratio of 5:7:15. Let the shares of A, B, and C be 5x, 7x, and 15x respectively.

We are told that A's share is ₹ 1,500. Therefore:

5x = 1500

Solving for x:

x = 1500 / 5 = 300

The total amount T is the sum of the shares of A, B, and C:

T = 5x + 7x + 15x = 27x

6. Substituting x = 300:

T = 27 * 300 = 8100

Thus, the total amount is ₹8,100.

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