Question

If on a marked price, the difference on selling prices with a discount of 30% and two successive discounts of 20% and 10% is Rs. 72, then the marked price (in rupees) is
1. 3,600
2. 2,400
3. 2,500
4. 3,000

Answer 1

Correct Answer - Option 1 : 3,600

Given:

Normal discount = 30%

Two successive discounts = 20% and 10%

Difference in amount of normal and successive discount = Rs. 72

Formula used:

Successive discount formula = D₁ + D₂ – (D₁ × D₂)/100

SP = [MP × (100 – D)/100]

Calculation:

Substituting the values in formula we get,

Successive discount = 20 + 10 – (20 × 10)/100

⇒ (30 – 2)%

⇒ 28%

Normal discount = 30%

Difference in discount% = Difference in discount amount

⇒ (30 – 28)% = 72

⇒ 2% = 72

⇒ 1% = 36

⇒ 100% = 3600

∴ The marked price is Rs. 3,600