Question

Find the single discount equivalent to a discount series of 5%,7% and 9%

Answer 1

Answer:

answer is 19.6015 or 19.6%

Step-by-step explanation:

let MP be 100

after 5% discount SP is 95

after 7% discount on 95 SP is 88.35

after 9% discount on 88.35 Sp is 80.3985

so single equivalent discount is 100-80.3985=19.6015%

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Answer 2

The single discount equivalent to 5%, 7% and 9% is 19.60%.

Step-by-step explanation:

Since we have given that

5%, 7% and 9%.

So, Single discount equivalent to 5% and 7% would be

$5+7-\dfrac{5\times 7}{100}\\\\=12-\dfrac{35}{100}\\\\=12-0.35\\\\=11.65\%$

So, now, single discount equivalent to 11.65% and 9% would be

$11.65+9-\dfrac{11.65\times 9}{100}\\\\=20.65-\dfrac{104.85}{100}\\\\=20.65-1.0485\\\\=19.60\%$

Hence, the single discount equivalent to 5%, 7% and 9% is 19.60%.

# learn more:

7. Find a single discount which is equivalent to two successive discounts of 20% and 5%​

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