Question

Tiya and Piya invested Rs 1350 and Rs 1800 respectively in a business. After 9 months Piya withdrew her entire money and Riya and Siya joined the business by investing Rs 3000 and Rs 2700 respectively. If after a year, a total of Rs 13,750 is obtained as profit, find the total share of Piya and Riya together out of total profit

Answer 1

Ratio of shares of Tiya : Piya : Riya: Siya is,

$\Rightarrow 1350\times 12:1800\times 9:3000\times 3:2700\times 3$

$\Rightarrow 18:18:10:9$

the total profit is $13750$ Rs.

thus total profit earned by Piya and Riya together is,

$\Rightarrow \frac{18+10}{18+18+10+9}\times 13750$

$\Rightarrow \frac{28}{55}\times 13750$

$\Rightarrow 7000$ Rs.

Total profit earned by Piya and Riya is $7000$ Rs.