Question

A cycle was sold at a gain of 10%, had it been sold for Rs 64 more, the gain whould have been 14% . find the cost price of cycle.

Answer 1

$let \: cp = x \\p1\% = 10\% \\ than \: p2\% = 14\% \\ p1 = \frac{10x}{100} \\ p2 = \frac{14x}{100} \\ p2 - p1 = 64 \\ \frac{14x}{100} - \frac{10x}{100} = 64 \\ \frac{4x}{100} = 64 \\ x = 64 \times 100 \div 4 \\ 1600$

Answer 2

hello,
if cycle i sold at a gain of 10 %
& sold for Rs 64 more 
then, the gain is 14%

then, Rs 64 = 4%
So, then the cost percent would be 100% - 14%=86%.
So , as Rs 64 = 4%
then, rs 16 = 1%
then 86% =  Rs 1376

Hope i helped u,