If a sum of Rs. 644 is divided into three parts proportional to 1/2 ∶2/3 ∶3/4 then the first part will be:

If a sum of Rs. 644 is divided into three parts…

If a sum of Rs. 644 is divided into three parts proportional to $\frac{1}{2} ∶\frac{2}3{} ∶\frac{3}{4}$ then the first part will be:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. Rs. 168.

We have given the ratio of the three parts = $\frac{1}{2} ∶\frac{2}3{} ∶\frac{3}{4}$

multiply by 12 numerator

= 6 : 8 : 9

Sum of three numbers = 644

So, first part = {644/(6 + 8 + 9)} × 9 = 28 × 6= 168