Question

Mother wants to divide Rs. 2492 between her daughters Sunanda and Girija in the ratio of their ages. If ages of Girija is 16 years and age of Sunanda is 12 years, then Sunanda will get
1. Rs. 1424
2. Rs. 978
3. Rs. 1068
4. Rs. 1384

Answer 1

Correct Answer - Option 3 : Rs. 1068

Given:

Total rupees  = 2492

The ratio of age of Girija and age of Sunanda = 16:12

Concept:

If the numbers n are divided into two-part X and Y in the ratio of p/q then,

\(X = \frac{np}{p\ +\ q}\ \ and\ \ \ Y\ = \ \frac{nq}{p\ +\ q}\)

Calculation: 

Given that, the ratio of age of Sunanda and age of Girija

\(\frac{S}{G} \ =\ \frac{12}{16}\ =\ \frac{3}{4}\)

According to question, 2492 is divided in Sunanda and Girija in the ratio 3:4. Therefore,

Part of the money Sunanda will get

= \(S\ =\ \frac{3\ \times 2492}{4\ +\ 3\ }\ =\ 1068\)

Hence, option 3 is correct.