Question

The ratio of the weights of Meenakshi to that of her friend Ankur is 5:11. Ankur now goes on a diet and loses 8 kg, and now the ratio of their weights is 5:9. How much does Ankur weigh now?

• A. 24 kg
• B. 38 kg
• C. 44 kg
• D. 32 kg

Answer 1

The correct option is C 44 kg

Let X and Y be the weight of Meenakshi and Ankur has respectively.
The ratio of the weights of Meenakshi to Ankur = 5:11
After dieting, ratio of the weights of Meenakshi to Ankur = X: (Y- 8)=5:9
Comparing both $\frac{X}{Y}$ = $\frac{5}{11}$ : : $\frac{X}{Y-8}$ = $\frac{11}{9}$
$\frac{Y}{Y-8}$ = $\frac{11}{9}$
Y = $\frac{11(Y-8)}{9}$ = 44 kg
$\frac{X}{Y}$ = $\frac{5}{11}$
X = 5 $\times$ $\frac{44}{11}$ = 20 kg
So, weight of ankur is 44 kg.​