Question

A certain amount was to be distributed among A, B and C in the ratio 2 :3 :4 respectively, but was erroneously distributed in the ratio 7:2:5 respectively. As a result of this, B got Rs.40 less. What is the amount ?

• A. Rs.210
• B. Rs.270
• C. Rs.230
• D. Rs.280

Answer 1

The Correct Option is A

Given a problem, the amount was to be distributed among A, B, and C in the ratio 2:3:4, but it was incorrectly distributed in the ratio 7:2:5. As a result, B received Rs.40 less. We need to find the total amount.

Let's assume the total amount to be distributed is Rs.x.

According to the correct distribution ratio:

A's share = (2/9)x

B's share = (3/9)x = (1/3)x

C's share = (4/9)x

According to the incorrect distribution ratio:

A's share = (7/14)x

B's share = (2/14)x = (1/7)x

C's share = (5/14)x

It is given that B got Rs.40 less, which leads to:

(1/3)x - (1/7)x = 40

To solve this, find a common denominator for the fractions:

Common denominator = 21

Therefore, (1/3)x = (7/21)x and (1/7)x = (3/21)x

Substituting back:

((7/21)x - (3/21)x) = 40

(4/21)x = 40

Multiply both sides by 21:

4x = 840

Divide by 4 to solve for x:

x = 210

Therefore, the total amount is Rs.210.