Question

Karuna and Varuna invested Rs 2400 and Rs x in a business. After 3 months, Karuna added Rs 600 while Varuna withdrew Rs 300. After a year out of a total profit of Rs 36,920, Varuna received Rs 17,160. Find the amount invested by Varuna at the starting of busines

Answer 1

Ratio of shares of Karuna and Varuna is

$\Rightarrow 2400\times 3+3000\times 9:x\times 3+(x-300)\times 9$

$\Rightarrow 11400:(4x-900)$

Total profit is $36,920$ Rs.

profit earned by Varuna is $17160$ Rs.

Thus,

$\Rightarrow \frac{4x-900}{11400+4x-900}\times 36920=17160$

$\Rightarrow \frac{4x-900}{10500+4x}\times 36920=17160$

$\Rightarrow (4x-900)\times 923=(10500+4x)\times 429$

$\Rightarrow 1976x=5335200$

$\Rightarrow x=2700$

Thus Varuna invested $2700$ Rs.