Question 110

DIRECTION for the question: Solve the following question and mark the best possible option.

A man sells an article at a gain of 15%. If he had bought it at 10% less and sold it for Rs 4 less, he would have gained 25%. Find the cost price of the article

Solution

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Let us assume the Cost Price = 100x.
As he gained 15%, the SP = 115x.
The new CP is 10% lesser than the original = 90x and the new SP = 115x - 4.
As he gained 25% with this SP over new CP, we can say that:
1.25*90x = 115x - 4
112.5x = 115x - 4
2.5x = 4
x = 1.6.
The Cost price = 100x = 160 Rs.

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