Question

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

Answer 1

false false false...

Explanation:

false is false

Answer 2

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.