Question

By selling an article for Rs.105,a trader losses 9%. To gain 30% he should sell the article at:
1. Rs. 150
2. Rs. 126
3. Rs. 144
4. Rs. 139

Answer 1

Correct Answer - Option 1 : Rs. 150

Given:

Selling price (sp) = Rs. 105

Loss= 9%

Profit required = 30%

Formula used:

SP = CP × (100 + P%)/100

SP = CP × (100 - L%)/100

Calculations:

⇒ CP × (100 - 9/100) = 105

⇒ CP × (91/100) = 105

⇒ CP = Rs. 10500/91

⇒ SP = 10500/91 × (100 + 30%)/100

⇒ SP = 105/91 × (130)

⇒ SP = 150

∴ To gain 30% he should sell the article at Rs. 150.