Question

Aditya and Manish continued in a joint business for $36$ months. Aditya contribute $Rs.300$ for certain time and Manish invested $Rs.500$ for remaining time. If out of total profit of $Rs.1020$, Aditya get $Rs.495$, then for how long Aditya kept his money?

• A. $16months$
• B. $14months$
• C. $8months$
• D. $22months$

Answer 1

The correct option is D $22months$

Total time $=36$ months

Let $t_A$ and $t_M$ be the time of contribution of Aditya and Manish respectively.

Ratio of their profit shares $=\frac{300\times t_A}{500\times t_M}.....\left(1\right)$

Total profit $=Rs.1020$

Aditya's share $=Rs.495$

Manish's share $=1020-495=Rs.525$

Ratio of profits $=\frac{495}{525}=\frac{33}{35}.....\left(2\right)$

From equation $\left(1\right)$ and $\left(2\right)$, we have

$\frac{300\times t_A}{500\times t_M}=\frac{33}{35}$

$\frac{t_A}{t_M}=\frac{11}{7}$

Therefore,

Time period for which Aditya invested $=\frac{11}{11+7}\times 36=22$ months