Question

Hey!!!!! Maths experts ????? so, solve this problem

A tricycle is sold at a gain of 15%.
if it had been sold for Rs 27 more,
the profit would have been 20%.
Find its C.P

With explanation

Answer 1

Let C.P. be x

S.P. = x + 15/100 x
= 115/100 x

According to question,
115/100 x + 27 = 120/100 x (x + 20/100 x)
5/100 x = 27
x = 27 × 20
x = 540

C.P. = Rs. 540

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Answer 2

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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
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