Question

The marked price of an article is Rs. 400. After allowing a discount of 20% on the marked price, a shopkeeper makes a loss of Rs. 48. His loss percentage is: 
1. \(13\frac{1}{23}\%\)
2. \(15\frac{1}{23}\%\)
3. \(17\frac{1}{23}\%\)
4. \(14\frac{1}{23}\%\)

Answer 1

Correct Answer - Option 1 : \(13\frac{1}{23}\%\)

Given:

Marked Price = Rs.400 

Discount percent = 20% 

Loss = Rs.48 

Formulas used:

Selling Price = Marked Price × (100 - Discount)%

Loss = Cost Price - Selling Price 

Loss percentage = Loss/Cost Price × 100

Calculation:

Selling Price = 400 × (100 - 20)% 

⇒ 400 × 4/5 

⇒ Rs.320 

Cost Price = Selling Price +  Loss 

⇒ CP = Rs.320 + Rs.48 

⇒ Rs.368 

∴ Loss percentage = Loss/Cost Price × 100 

⇒ 48/368 × 100 

⇒ \(13\frac{1}{23}\%\)

∴ The required result is \(13\frac{1}{23}\%\).