Question

Mother wants to divide ₹ 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.

Answer 1

Ratio of the age of Shreya to that of Bhoomika = \(\frac{15}{12}\)
\(= \frac{5}{4}\)
\(= 5:4\)
Thus, ₹ 36 divide between Shreya and Bhoomika in the ratio of \( 5 : 4.\) 
Shreya gets = \(\frac{5}{9}\) of Rs 36
\(= \frac{5}{9} × 36\)
= Rs 20
Bhoomika gets =\( \frac{4}{9}\) of Rs 36
\(= \frac{4}{9} × 36\)
= Rs 16

Answer 2

Total money = ₹36

Shreya's age = 15 years

Bhoomika's age = 12 years

Sum of their ages \(= 15 + 12 = 27\)

Shreya's share of the money = \(\frac{15}{27} \times 36 = \frac{5}{9} \times 36 = 20\)

Bhoomika's share of the money = \(\frac{12}{27} \times 36 = \frac{4}{9} \times 36 = 16\)

Therefore, Shreya will get ₹20 and Bhoomika will get ₹16.