Question

A sum of ₹ 900 is divided among A, B and C. If A received 250 more than C and B received 170 more than C, what is the percentage of C's share?

• A. 17.78%
• B. 16%
• C. 16.11%
• D. 18.25%

Answer 1

The correct option is A 17.78%

Given, total amount = ₹ 900
Let C's share $=₹x$
Then, A's share $=₹(250+x)$
and B's share $=₹(170+x)$

$\therefore 250+x+170+x+x=900$
$\Rightarrow 420+3x=900$
$\Rightarrow 3x=480$
$\Rightarrow x=₹160$

$\therefore$ Percentage of C's share
$=\frac{160}{900}\times 100=17.78\%$