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A company offers four types of successive discounts A - D on the marked price of an article. Arrange these successive discounts A - D in ascending order based on the final price of the article after discounts.

(A) 25%25 \% and 15%15 \%

(B) 30%30 \% and 10%10 \%

(C) 35%35 \% and 5%5 \%

(D) 15%15 \% and 20%20 \%

Solution

✅ Correct Option: 2
  1. For successive discounts, we need to calculate final price after both discounts:
  • If original price is 100100, then after two successive discounts of x%x\% and y%y\%:
    • Final price = 100×(1−x100)×(1−y100)100 × (1-\frac{x}{100}) × (1-\frac{y}{100})
  1. Let's calculate for each option:

A) 25%25\% and 15%15\%:

= 100×(1−0.25)×(1−0.15)100 × (1-0.25) × (1-0.15)

= 100×0.75×0.85100 × 0.75 × 0.85

= 63.7563.75

B) 30%30\% and 10%10\%:

= 100×(1−0.30)×(1−0.10)100 × (1-0.30) × (1-0.10)

= 100×0.70×0.90100 × 0.70 × 0.90

= 63.0063.00

C) 35%35\% and 5%5\%:

= 100×(1−0.35)×(1−0.05)100 × (1-0.35) × (1-0.05)

= 100×0.65×0.95100 × 0.65 × 0.95

= 61.7561.75

D) 15%15\% and 20%20\%:

= 100×(1−0.15)×(1−0.20)100 × (1-0.15) × (1-0.20)

= 100×0.85×0.80100 × 0.85 × 0.80

= 68.0068.00

  1. Arranging in ascending order (lowest to highest final price):

C (61.7561.75) < B (63.0063.00) < A (63.7563.75) < D (68.0068.00)

Therefore, the correct order is (C), (B), (A), (D)

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