JIPMAT 2024 (QA) - 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 \% | PYQs + Solutions

JIPMAT 2024

Arithmetic

Profit & Loss

Medium

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

(A), (B), (D), (C)

(C), (B), (A), (D)

(B), (A), (D), (C)

(C), (A), (B), (D)

Correct Option: 2

1) For successive discounts, we need to calculate final price after both discounts:

\newline

* If original price is

100

, then after two successive discounts of

x\%

and

y\%

\newline

* Final price =

100 × (1-\frac{x}{100}) × (1-\frac{y}{100})

2) Let's calculate for each option:

25\%

and

15\%

\newline

100 × (1-0.25) × (1-0.15)

\newline

100 × 0.75 × 0.85

\newline

63.75

30\%

and

10\%

\newline

100 × (1-0.30) × (1-0.10)

\newline

100 × 0.70 × 0.90

\newline

63.00

35\%

and

5\%

\newline

100 × (1-0.35) × (1-0.05)

\newline

100 × 0.65 × 0.95

\newline

61.75

15\%

and

20\%

\newline

100 × (1-0.15) × (1-0.20)

\newline

100 × 0.85 × 0.80

\newline

68.00

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

\newline

C (

61.75

) < B (

63.00

) < A (

63.75

) < D (

68.00

)

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