Question

A sum of Rs. 731 is divided among A, B and C, such that A receives $25\%$ more than B and B receives $25\%$ less than C. What is C’s share?

• A. Rs.272
• B. Rs. 262
• C. Rs. 258
• D. Rs. 200

Answer 1

The correct option is A Rs.272

Let C's share be x.

$\Rightarrow$ B's share = x - (25% of x)

$=x-\frac{25}{100}x=\frac{3x}{4}$

A's share = B's share + 25% of B's share

$=\frac{3}{4}x+25\%of\frac{3}{4}x$

$=\frac{3x}{4}+\frac{25}{100}\times \frac{3x}{4}$

$=\frac{3x}{4}\times \frac{125}{100}=\frac{15x}{16}$

Now, it is given that

$\frac{15x}{16}+\frac{3}{4}x+x=731$

$\Rightarrow 15x+12x+16x=731\times 16$

$\Rightarrow 43x=731\times 16$

$\Rightarrow x=\frac{731\times 16}{43}$

$\Rightarrow x=Rs.272$

$\therefore$ C's share = Rs. 272