Question

A person bought an article and sold it at a

loss of 10%. if he has bought at 20% less and

sold it for Rs 55 more, he would be gained 40%.

Find C.P.​

Answer 1

Answer: C.P. = ₹171.875

Step-by-step explanation: Let the C.P. be x

Given : S.P. = x - 10% of x = x - (10x/100) = 9x / 10

It is also given that ,

If C.P. = x - 20% of x = 8x / 10

And S.P. = (8x / 10) + 55 = 8x + 550 / 10

Then, S.P. = (8x / 10)+ 40% of (8x / 10)= 112x / 100

Combining the 2 equations, we get :

112x / 100 = 8x + 550 /10 = 80x + 5500 / 100

32x = 5500

x = 5500 / 32 = ₹ 171.875

Therefore, the C.P. is ₹ 171.875

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