Question

In a business Soma and Salma invested rs 24000 and rs 30000 at the begining of the year. After few months, Soma invested an additional capital of rs 12000. If at the end of the year the total profit is rs 14030 and Soma receives rs 7130 as profit, find the number of months after which Soma invested​

Answer 1

Answer

Arun’s initial investment = ₹24000×12

= ₹288000

Later, Arun has invested = ₹12000 more for x months.

= ₹12000x

Arun’s total invrstment = ₹288000 + ₹12000x

Ajoy’s total invrstment = ₹30000×12

= ₹360000

Total profit = ₹14030

Arun’s profit share = ₹7130

∴ Ajoy’s profit share = ₹14030-₹7130

= ₹6900

We know that ratio of profit share is equal to ratio of capital invested.

∴ Ratio of capital invested = Ratio of profit share = 7130:6900

= 713:690

6624 + 276x = 8556

276x = 8556-6624

276x = 1932

X = 7 months

∴ Arun invested money after = 12-7 = 5 months.