Question

Aruna sells an article at a certain price. Had she sold it at three-fifth of that selling price, she would have lost 20%. What is the gain percentage when she sells it at 90% of the original selling price?
1. 15%
2. 24%
3. 25%
4. 20%

Answer 1

Correct Answer - Option 4 : 20%

Given:

She lost 20% when she sold it at 3/5 of actual selling price.

Formula Used:

Gain/Profit = SP – CP,

Percent gain/Profit = (SP – CP)/CP × 100,

Where,

SP is selling price,

CP is cost price 

Calculation:

Let the cost price be Rs. 100

When she sold at 3/5 of actual selling price he lost 20% on CP

⇒ 3/5 × SP = 80% × 100

⇒ 3/5 × SP = 80/100 × 100

⇒ 3/5 × SP = 80

⇒ SP = (80 × 5)/3

⇒ SP = 400/3

Actual selling price is 400/3

Now she sold at 90% of a actual selling price.

⇒ 90/100 × 400/3

⇒ 120

Now gain = SP – CP

⇒ Gain = 120 – 100

⇒ Gain = 20

Gain % = P/CP × 100

⇒ Gain % = 20/100 × 100

⇒ Gain % = 20%

∴ Total gain percent is 20%.