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A, B and C are partner sharing profit or loss in the ratio of 2 : 3 : 4. A retires and after A’sretirement B and C agree to share profit or loss in the ratio of 3 : 4 in future. Their gainingratio will be:(A) 2 : 3(B) 4 : 3(C) 3 : 4(D) 1 : 1

Question

A, B and C are partner sharing profit or loss in the ratio of 2 : 3 : 4. A retires and after A’sretirement B and C agree to share profit or loss in the ratio of 3 : 4 in future. Their gainingratio will be:(A) 2 : 3(B) 4 : 3(C) 3 : 4(D) 1 : 1

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Solution

To find the gaining ratio of B and C after A's retirement, we need to consider the change in their profit-sharing ratios.

Initially, A, B, and C share profits or losses in the ratio of 2:3:4. This means that out of the total profit or loss, A receives 2 parts, B receives 3 parts, and C receives 4 parts.

After A's retirement, B and C agree to share profit or loss in the ratio of 3:4. This means that out of the total profit or loss, B receives 3 parts and C receives 4 parts.

To find the gaining ratio, we need to compare the change in B's share to the change in C's share.

The change in B's share is from 3 parts to 2 parts (initially) to 3 parts (after A's retirement). This means B's share has increased by 1 part.

The change in C's share is from 4 parts to 4 parts (initially) to 4 parts (after A's retirement). This means C's share has remained the same.

Therefore, the gaining ratio of B and C after A's retirement is 1:0, which simplifies to 1:1.

So, the correct answer is (D) 1:1.

This problem has been solved

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