Question : On the marked price of INR 1,250 of an article, three successive discounts of 5%, 15%, and 20% were offered, The amount (in INR) of discount received by a customer is:
Option 1: 442.50
Option 2: 950.25
Option 3: 450
Option 4: 807.50
Correct Answer: 442.50
Solution :
Total Discount = 1 − (1 − D
1
) × (1 − D
2
) × (1 − D
3
)
where D
1
, D
2
, and D
3
are discount percentages (decimal values).
Here, D
1
= $\frac{5}{100}$ = 0.05
D
2
= $\frac{15}{100}$ = 0.15
D
3
= $\frac{20}{100}$ = 0.20
So, Total Discount = 1 − (1 − 0.05) × (1− 0.15) × (1 − 0.20
)
⇒ Total Discount = 1− (0.95 × 0.85 × 0.80)
⇒ Total Discount = 0.354
Discount Amount = Total Discount × Marked Price
= 0.354 × 1250
= INR 442.50
Hence, the correct answer is 442.50.
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