Question

cycle was sold at a gain of 10 percent had it been sold for rs 99 more the gain would been 12 percent find c.p

Answer 1

x=cost price

y=profit%

s.p=$\frac{100+y}{100}$

therefor$\frac{100+10}{100} (x)$

=$\frac{11}{10} (x)$

if it is sold for 12% more

s.p=$\frac{100+12}{100}*x$

=$\frac{6}{5}*x$

according to given condition

$\frac{6}{5}*x-\frac{11}{10}*x=99$

multiply 10 on bothside

$10*\frac{6}{5}-10*\frac{11}{10}=10*992*6x-11x=99012x-11x=990x=990$