Question

In a fair, Megha and Meena spent $Rs.95$ altogether. Meena and Tia spend $Rs.216$ altogether. If Meena spend $\frac{1}{5}$ of what Tia spent, how much did Megha spend?

• A. $Rs.59$
• B. $Rs.65$
• C. $Rs.70$
• D. $Rs.79$

Answer 1

The correct option is A $Rs.59$

We are given that,
Amount of money Meena spent
$=\frac{1}{5}$ of amount Tia spent
Also, Amount of money Meena and Tia spend altogether $=Rs.216$
$\Rightarrow \frac{1}{5}$ of amount of money Tia spent $+$ Amount of money Tia spend $=Rs.216$
$\Rightarrow (\frac{1}{5}+1)$ of amount of money Tia spent $=Rs.216$
$\Rightarrow \frac{6}{5}\times$ amount of money Tia spent $=Rs.216$
$\Rightarrow$ Amount of money Tia spent $=Rs.(216\times \frac{5}{6})=Rs.180$
So, amount of money Meena spent
$=Rs.(\frac{1}{5}\times 180)=Rs.36$
Now, amount of money Megha and Meena spent altogether $=Rs.95$
$\Rightarrow$ Amount of money Megha spent $=Rs.(95-36)=Rs.59$.