Question

If Rs 782 be divided into three parts proportional to $\frac{1}{2}:\frac{2}{3}:\frac{3}{4}$ then the first part is

• A. $Rs.182$
• B. $Rs.190$
• C. $Rs.196$
• D. $Rs.204$

Answer 1

The correct option is D $Rs.204$

Given ratio = $\frac{1}{2}:\frac{2}{3}:\frac{3}{4}$

As LCM of $2,3,4$ is $12$, we multiply each part of the ratio by $12$

$=\frac{1}{2}\times 12:\frac{2}{3}\times 12:\frac{3}{4}\times 12$

$=6:8:9$

Therefore, total parts are $6+8+9=23$

$\therefore$ 1st part = Rs. $(782\times \frac{6}{23})$ = Rs. $204$