Question

Question 152
Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mail. If allowance of each is Rs. 1260, find the amount left with each.
$\begin{array}{ccc}\text{Where money goes}& \text{Fraction of allowance}& \\ & \text{Manavi}& \text{Kuber}\\ \text{Saving account}& \frac{1}{2}& \frac{1}{3}\\ \text{Spend at mall}& \frac{1}{4}& \frac{3}{5}\\ \text{Left over}& ?& ?\end{array}$

Answer 1

Let total cost be Rs. 1
For Manavi,

Left over
= Total cost - All spends
$=1-(\frac{1}{2}+\frac{1}{4})$
$=1-\frac{3}{4}=\frac{1}{4}$

$\therefore$ Amount left
$=1260\times \frac{1}{4}=Rs.315$

For Kuber,
Left over
= Total cost - All spends
$=1-(\frac{1}{3}+\frac{3}{5})$
$=1-\frac{14}{15}=\frac{1}{15}$

$\therefore$ Amount left
$=1260\times \frac{1}{15}=Rs84$

Alternate Method
Allowance given to Manavi
= Rs. 1260

Left over amount of Manavi
= Allowance - Saving - Spend at mall
$=1260-\frac{1}{2}\times 1260-\frac{1}{4}\times 1260=1260(1-\frac{1}{2}-\frac{1}{4})=1260\times \left(\frac{4-2-1}{4}\right)=1260\times \left(\frac{4-3}{4}\right)=1260\times \frac{1}{4}=Rs.315$

Hence, the amount left with Manavi is Rs. 315

Allowance given to Kuber = Rs. 1260

Left over amount of Kuber
= Allowance - Saving - Spend at mall
$=1260-\frac{1}{3}\times 1260-\frac{3}{5}\times 1260=1260(1-\frac{1}{3}-\frac{3}{5})=1260\left(\frac{15-5-9}{15}\right)=1260\left(\frac{15-14}{15}\right)=1260\times \frac{1}{15}=Rs.84$

Hence, the amount left with Kuber is Rs. 84