Taking successive discounts of 15% off and then 25% off is the same as taking a one time discount of 40%. Please select the best answer from the choices provided ОТ F

Question

asked Jan 18, 2020 85.3k views

2 Answers

Jason Snelders · Answer 1 · 2020-01-25T02:59:19+0000

False, if we take successive discounts 15% off and then 25% off is not same as taking 40% off at a time.

Explanation:

Let Cost price = 100/-

$15 \% \text { discount on } \mathrm{Cost price} \text { of } 100=(100 * 15)/(100)$

$15 \% \text { discount on } \mathrm{Cost price} \text { of } 100=15$

After 15% discount on 100 Cost price is = 100 – 15 = 85

Again on RS. 85/- there is a discount of 25%

$25 \% \text { discount on } 85=(25 * 80)/(100)$

$25 \% \text { discount on } 85=21.25$

After successive discount of 15% off and then 25% off on Cost price = 85 - 21.25 = 63.75

On the other hand

If 40% discount on the Cost price = 100/-

$40 \% \text { discount on } 100=(40 * 100)/(100)$

$40 \% \text { discount on } 100=40$

After successive discount of 40% off on Cost price = 100 – 40 = 60

The cost price by taking successive discount of 15% and 25% off is not same as discount of 40%

Therefore this is false.