Question

a trycycle is sold at a gain of 15℅ had it been sold for rs 108 the profit would have been 2o℅ find its cp

Answer 1

Let cost price = x

If it is sold at 15% gain,

15% of x = x × 15/100 = 0.15x

selling price = x + 0.15x = 1.15x

If it is sold at 20% gain,

20% of x = x × 20/100 = 0.2x

selling price = x + 0.2x = 1.2x

Given that

1.2x - 1.15 x = 108

⇒0.05x = 108

⇒ x = 108/0.05

⇒x = Rs. 2160

Cost price is Rs. 2160