Multiple choice

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% and 15% (B) 30% and 10% (C) 35% and 5% (D) 15% and 20%

  1. (A), (B), (D), (C)

  2. (C), (B), (A), (D)

  3. (B), (A), (D), (C)

  4. (C), (A), (B), (D)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Successive discount formula: D = d1 + d2 - (d1*d2)/100. (A) 25+15-3.75 = 36.25%. (B) 30+10-3 = 37%. (C) 35+5-1.75 = 38.25%. (D) 15+20-3 = 32%. Ascending order of final price means descending order of discount percentage. The discounts are 38.25% (C), 37% (B), 36.25% (A), 32% (D). Ascending order of price: (C), (B), (A), (D).

AI explanation

To compare the final prices, calculate the net discount equivalent for each successive discount using the formula net discount equals the sum of the individual discounts minus the product of the individual discounts divided by 100. For option A the net discount is 36.25%, for B it is 37%, for C it is 38.25%, and for D it is 32%. Since a larger discount results in a lower final price, the discounts in descending order of final price are D, A, B, and C, making the ascending order based on final price C, B, A, and D.

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