Question

A cycle was sold at a gain of 10%. Had it been sold for ₹64 more, the gain would have been 14%. Find the cost price of the cycle?

Answer 1

Let cost price of cycle = Rs x . Gain is 10% . Selling price of the cycle = [ (100 + gain%) / 100] × x = 110x / 100 = 11x / 10 If it is sold Rs . 65 more then S.P = 11x / 10 + 65 -----(1) Gain = 14 % Selling price = (100 + 14)x / 100 = 114x / 100 --------(2) from (1) and (2) we get ⇒ 114x / 100 = 11x / 10 + 65 ⇒ 114x / 100 - 110x / 100 = 65 ⇒ (114x - 110x) / 100 = 65 ⇒ 4x / 100 = 65 ⇒ x = (65 × 100) / 4 ⇒ x = Rs.1625 ∴cost price of cycle = Rs 1625.