Question

Sanjay sold a bicycle at 8%profit had it been sold fir rate 75 more the 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.


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