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Which offer is better? 1) Two successive discounts of 10% and 20% 2) Single discount of 30%
Question

Which offer is better?
1) Two successive discounts of 10% and 20%
2) Single discount of 30%

A.

(1)

B.

(2)

C.

Cannot be determined

D.

Both (1) & (2) are the same

Correct option is B

Given:
1: Two successive discounts of 10% and 20%.
2: A single discount of 30%.
Formula Used:
For two successive discounts of a% and b%, the net discount is given by:
Net discount=a+b(a×b100)\text{Net discount} = a + b - \left( \frac{a \times b}{100} \right)​​
Solution:
For Option 1 (two successive discounts of 10% and 20%):
Net discount=10+20(10×20100)=302=28%\text{Net discount} = 10 + 20 - \left( \frac{10 \times 20}{100} \right) = 30 - 2 = 28 \%​​
For Option 2 (single discount of 30%):
Discount = 30%
Thus, The single discount of 30% is better, as it gives a higher discount compared to the 28% .

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