If (x + 20)% of 250 is 25% more than x% of 220, then 10% of (x + 50) is what percent less than 15% of x?

Solution (By Examveda Team)

$$\eqalign{ & \frac{{250 \times \left( {x + 20} \right)}}{{100}} = \frac{{220 \times x}}{{100}} \times \frac{{125}}{{100}} \cr & 25x + 500 = 22 \times x \times \frac{5}{4} \cr & 100x + 2000 = 110x \cr & 10x = 2000 \cr & x = 200 \cr & \frac{{\left( {x + 50} \right) \times 10}}{{100}} = \frac{{250 \times 10}}{{100}} = 25 \cr & \frac{{x \times 15}}{{100}} = \frac{{200 \times 15}}{{100}} = 30 \cr & {\text{Less}}\% = \frac{5}{{30}} \times 100 = 16\frac{2}{3}\% \cr} $$