Question

Rajni had a certain amount of money in her purse.She spent $₹10\frac{1}{4}$ in the school canteen, bought a gift worth $₹25\frac{3}{4}$ and gave $₹16\frac{1}{2}$ to her friend. How much she have to begin with?

• A. $\text{Rs}.52\frac{1}{2}$
• B. $\text{Rs}.54\frac{3}{4}$
• C. $\text{Rs}.51\frac{1}{2}$
• D. $\text{Rs}.52\frac{3}{4}$

Answer 1

The correct option is A $\text{Rs}.52\frac{1}{2}$

Amount given to school canteen $=₹10\frac{1}{4}$

Amount given to buy gift $=₹25\frac{3}{4}$

Amount given to her friend $=₹16\frac{1}{2}$

To begin with Rajni had

$₹10\frac{1}{4}+₹25\frac{3}{4}+₹16\frac{1}{2}$

$=₹(\frac{41}{4}+\frac{103}{4}+\frac{33}{2})$

$=₹(\frac{41}{4}+\frac{103}{4}+\frac{33}{2})$

$=₹\left(\frac{41+103+66}{4}\right)=₹\frac{210}{4}$

$=₹52\frac{2}{4}=₹52\frac{1}{2}$

So, option b is correct.