Question

The price of sugar is reduced by 25% but inspite of the decrease, Aayush ends up increasing his expenditure on sugar by 20%. What is the percentage change in his monthly consumption of sugar?

• A. +60%
• B. -10%
• C. +33.33%
• D. 50%

Answer 1

The correct option is A +60%

Let price of sugar be x & expenditure E

Now it is reduced by 25%. So it is
$\frac{3}{4}x$
now expenditure of sugar is also increased by 20% i.e.

$1.2Eor\frac{6}{5}E$

So quantity of sugar that can be purchased

$=\frac{\frac{6}{5}E}{3/4x}=\frac{8}{5}\frac{E}{x}=160\%of\frac{E}{x}$

Hence consumption increased by 60%