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A sum of money is divided among A, B, and C in the ratio 4 : 3 : 6. If the share of C is Rs. 600 more than B, then how much amount will A get more tha
Question

A sum of money is divided among A, B, and C in the ratio 4 : 3 : 6. If the share of C is Rs. 600 more than B, then how much amount will A get more than B?

A.

Rs. 200

B.

Rs. 150

C.

Rs. 250

D.

Rs. 100

Correct option is A

Given:

The ratio of A, B, and C is 4:3:6.

The share of C is Rs. 600 more than the share of B.

Solution:

Let the shares of A, B, and C be 4x, 3x, and 6x respectively.

According to the problem, the share of C is Rs. 600 more than the share of B.

Thus, 

6x = 3x + 600

6x - 3x = 600

x = 600 / 3 = 200

Share of A = 4x = 4 ×\times​200 = Rs. 800

Share of B = 3x = 3×\times​ 200 = Rs. 600

Share of C = 6x = 6 ×\times​ 200 = Rs. 1200

A gets Rs. 800 - Rs. 600 = Rs. 200 more than B.

Thus, A will get Rs. 200 more than B.

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