Question

If a sum of Rs. 4,758 is to be divided among A, B, C and D in the ratio \(\frac{1}{2}:1:\frac{1}{4}:\frac{1}{5}\) then the share of B is
1. Rs.1,464
2. Rs.2,440
3. Rs.1,664
4. None of the above

Answer 1

Correct Answer - Option 2 : Rs.2,440

Given

Total sum of money = Rs. 4758

The sum is divided among A, B, C and D in ratio :

\(\frac{1}{2}:1:\frac{1}{4}:\frac{1}{5}\)

Calculation

\(\frac{1}{2}:1:\frac{1}{4}:\frac{1}{5}\)

LCM of 5, 4, and 2 is 20, Multiplying all ratios by 20 we get,

10 : 20 : 5 : 4

So, the equivalent ratios are 10 : 20 : 5 : 4

Total amount = 4758

Share of B = (20/39) × 4758

⇒ Rs. 2440