Question

An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?​

Answer 1

Rs 500

Explanation:

For cost c, the price that gives a 5% profit is ...

c + 5%·c = 1.05c

The price that gives a 5% loss is ...

c -5%·c = 0.95c

The difference of these prices is Rs 50:

1.05c -0.95c = 50

0.10c = 50 . . . . simplify

c = 500 . . . . . . . divide by 0.1

The cost price of the article is Rs 500.