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Manpreet offers two successive discounts of 12% and 8% on the sale of a sweater to his customers on the occasion of Diwali. What is the equivalent single percentage discount offered by Manpreet?

A20.96%

B19.04%

C19.64%

D20.00%

Answer:

B. 19.04%

Read Explanation:

Two successive discounts of 12% and 8% are given.

Use the formula for equivalent single discount:
Single discount=a+bab100\text{Single discount} = a + b - \frac{ab}{100}

Here,
(a = 12), (b = 8)

=12+812×8100= 12 + 8 - \frac{12 \times 8}{100}
= 20 - 0.96
= 19.04%
Equivalent single percentage discount = 19.04%


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