Question

Divide $₹370$ among Pooja and Ashma in the ratio $2\frac{1}{2}:3\frac{2}{3}$

Answer 1

Total amount to be divided $=$$₹370$

Ratio of amount to be divided among pooja and Ashma $=$$2\frac{1}{2}:3\frac{2}{3}$

Simplify the fraction ratio $2\frac{1}{2}:3\frac{2}{3}$

$2\frac{1}{2}:3\frac{2}{3}=\frac{5}{2}:\frac{11}{3}$

Divide each term by LCM of their denominator $2$ and $3$ which is $6$

$\frac{5}{2}\times 6:\frac{11}{3}\times 6=15:22$

Share of Pooja $=\frac{15}{15+22}\times 370=₹150$

Share of Ashma $=\frac{22}{15+22}\times 370=₹220$

Hence, Pooja get $₹150$ and Ashma get $₹220$