Question

A shopkeeper marks his goods at such a price that after allowing a discount of 25% on the marked price, he still makes a profit of 50% find the ratio of the CP to the MP. ​

Answer 1

Let,

The C.P be Rs. x

The M.P be Rs. y

Gain % = 50%

S.P = 100/100+50 × x

= 32x

Discount = 25%

Discount = 25% of y

= 25/100 × y

= Rs. 0.25y

S.P = M.P – discount

= y- 0.25y

= 0.75 y

Also, S.P = 32x

Comparing both the values for S.P we get,

32x = 0.75yx/y

C.P : M.P = 1:2

Answer 2

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