Question

The list price of an article is ₹ 80. A customer pays ₹ 30 for it. He was given 2 successive discounts, one of them being 50%. What was the other discount?
1. 20%
2. 12.50%
3. 30%
4. 25%

Answer 1

Correct Answer - Option 4 : 25%

Given:

One discount was 50%.

Marked price = Rs. 80

Selling price = Rs. 30

Formula used:

Effective discount for a% and b% discounts = a% + b% - (ab/100)%

Discount% = {(MP - SP)/SP} × 100

Calculations:

Effective discount for a% and b% discounts = a% + b% - (ab/100)%

Effective discount for a% and 50% discounts = a% + 50% - {(a × 50)/100}%

⇒ a% + 50% - (a/2)%

⇒ (a/2)% + 50%

Discount% = {(MP - SP)/MP} × 100

⇒ (a/2) + 50 = {(80 - 30)/80} × 100

⇒ (a/2) + 50 = (50/80) × 100

⇒ 2a + 200 = 250

⇒ 2a = 50

⇒ a = 25

∴ The other discount was 25%