Question

The incomes of $A$ and $B$ are in the ratio $5:3.$ The expenses of $A,B$ and $C$ are in the ratio $8:5:2.$ If C spends $Rs.2000$ and $B$ saves $Rs.700,$ then $A$ saves

• A. $Rs.1500$
• B. $Rs.1000$
• C. $Rs.500$
• D. $Rs.250$

Answer 1

Answer: (A)

$Rs.1500$

Let the expenses of A, B and C be Rs. 8x, Rs. 5x and Rs. 2x respectively. Given, 2x = 2000
$\Rightarrow x=Rs.1000$
$\Rightarrow$ B's expenses $=5\times Rs.1000=Rs.5000$,
A's expenses $=Rs.8000$
Given, B's saving $=Rs.700$
$\Rightarrow$ B's income $=Rs.5000+Rs.700=Rs.5700$
Given, A's income : B's income = 5 : 3
$\Rightarrow \frac{\text{A's income}}{5700}=\frac{5}{3}$
$\Rightarrow$ A's income $=\frac{5}{3}\times Rs.5700=Rs.9500$
$\therefore$ A's savings $=Rs9500-Rs.8000=Rs.1500$