Question

A man sells an article at a profit of 20%.If he had bought it at 10% less and sold it for 30 less he would have gained 25% .Find the cost price of the article. ​

Answer 1

Explanation:

let assume cost of price x

Article at a profit 20% = 120/100x

Bought article it at 10% less

x - 10/100× x = 90/100x --------(1)

he would gain 25% profit

25/100x

Equation is,

90/100x + 25/100× 90/100x = 120/100x - 30

0.9x + 0.25x × 0.9 = 1.2x - 30

0.9 + 0.25x × 0.9x - 1.2x = -30

-0. 075x = -30

x = 30/0.075

x = 400

we get cost price rupees 400

To check the price is correct or not we use equation (1)

x - 10/100× x = 90/100x

400- 10/100× 400 = 90/100 ×400

400 - 0.1 × 400 = 0.9 × 400

360 = 360

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