Question 74

Raju sells an object at 20% below its cost price. If he sold it for ₹450 more, he would have made a profit of 25%. What is the original selling price of the object?

Solution

Let's assume the cost price of an object is 100y.

Raju sells an object at 20% below its cost price.

selling price of an object = 100y of (100-20)%

= 100y of 80%

= 80y

If he sold it for ₹450 more, he would have made a profit of 25%.

80y+₹450 = 100y of (100+25)%

80y+₹450 = 100y of 125%
80y+₹450 = 125y

125y-80y = ₹450

45y = ₹450

y = ₹10

Original selling price of the object = 80y

= $$80\times10$$

= ₹800

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