Question

An article was sold at a loss of 13.5%. If it was sold for Rs. 1,104 more, then there would have been a profit of 9.5%. The cost price of the article was:
1. Rs. 4,200
2. Rs. 4,400
3. Rs. 4,800
4. Rs. 4,600

Answer 1

Correct Answer - Option 3 : Rs. 4,800

Given:

Loss of an article = 13.5%

If sold for Rs.1104 more profit will be 9.5%

Calculation:

Let us take the cost price be x

Loss % of x + extra amount = profit % of x

-13.5% of x + 1104 = 9.5% of x

NOTE: Negative sign indicates the loss

⇒ 23% of x = 1104

⇒ x = (1104 × 100)/23

∴ x = Rs.4800

∴ The cost price of the article = Rs.4800