The difference between a discount of 40% on Rs.500 and two successive discounts of 36% and 4% on the same amount is

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The difference between a discount of 40% on Rs.500 and two successive discounts of 36% and 4% on the same amount is

ARs.0

BRs.2

CRs.1.93

DRs.7.20

Nithin ? undefined

Correct answer is: Rs.7.20

Explanation:

Discount of 40% on Rs.500

\(= \frac{500 \times 40}{100}\)= Rs.200

and single discount per cent equivalent to 36% and 4%

\(= \left(r_{1}+r_{2}-\frac{r_{1}r_{2}}{100}\right)\%\)

\(= 36+4-\frac{36 \times 4}{100}=40-1.44 = \text{38.56%}\)

Therefore, Discount by 38.56% on 500

\(= \frac{38.56 \times 500}{100} = \text{Rs.192.80}\)

Hence, required difference = (200 - 192.80} = Rs.7. 20

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Correct answer is: Rs.7.20 Explanation: Discount of 40% on Rs.500 \(= \frac{500 \times 40}{100}\)= Rs.200 and single discount per cent equivalent to 36% and 4% \(= \left(r_{1}+r_{2}-\frac{r_{1}r_{2}}{100}\right)\%\) \(= 36+4-\frac{36 \times 4}{100}=40-1.44 = \text{38.56%}\) Therefore, Discount by 38.56% on 500 \(= \frac{38.56 \times 500}{100} = \text{Rs.192.80}\) Hence, required difference = (200 - 192.80} = Rs.7. 20 Nithin ? answered undefined All Comments

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