Question

Prasad's monthly income is $25$ $\%$ more than that of Anam Anam's monthly income is $75$ $\%$ less than of Bhushan. If the difference between the monthly incomes of Prasad and Bhushan is Rs. $26,125$, then what is Anam's monthly income?

• A. Rs. $8000$
• B. Rs. $16000$
• C. Rs. $9500$
• D. Rs. $10,000$

Answer 1

The correct option is C Rs. $9500$

Let Bhushan's monthly income be Rs. $x$.

Then Anam's Monthly income $=x-\frac{75}{100}x=x-\frac{3}{4}x-\frac{3}{4}x=\frac{1}{4}x$

Prasad's monthly income $=$ $=\frac{1}{4}x+\frac{25}{100}x\frac{1}{4}x$

$=\frac{1}{4}x+\frac{1}{16}x=\frac{5}{16}x$

Given, $x-\frac{5}{16}x=26125\Rightarrow \frac{11x}{16}=26125$

$\Rightarrow x=\frac{26125\times 16}{11}=38000$

$\therefore$ Anam's monthly income $=\frac{1}{4}\times$ Rs. $3800$ $=$ Rs. $9500$