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Which of the following will yield maximum discount on Rs. 34,480? A) 2 successive discounts of 7% and 3% B) 2 successive discounts of 8% and 2%
Question

Which of the following will yield maximum discount on Rs. 34,480?
A) 2 successive discounts of 7% and 3%
B) 2 successive discounts of 8% and 2%
C) Single discount of 9.8%

A.

A

B.

B

C.

C

D.

C and B will yield equal discount.

Correct option is B

Given:
Original Price (OP) = ₹34,480
Formula Used:
Successive Discount Formula: Effective Discount = (a + b - a×b100\frac {a × b} {100}​)%
Solution:
Option A:
Effective Discount = 7 + 3 - 7×3100\frac {7 × 3} {100}​​
=> Effective Discount = 10 - 0.21 = 9.79%
Option B:
Effective Discount = 8 + 2 -8×2100\frac {8 × 2} {100}​​
=> Effective Discount = 10 - 0.16 = 9.84%
Option C:
Single Discount = 9.8%
If the discount percentage is more, then discount is also more.
∴ The correct answer is Option B, as it yields the maximum discount.

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