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 providedОТF

False, if we take successive discounts 15% off and then 25% off is not same as taking 40% off at a time.Step-by-step explanation:Let Cost price = 100/-[tex]15 \% \text { discount on } \mathrm{Cost price} \text { of } 100=\frac{100 \times 15}{100}[/tex] [tex]15 \% \text { discount on } \mathrm{Cost price} \text { of } 100=15[/tex]After 15% discount on 100 Cost price is = 100 – 15 = 85Again on RS. 85/- there is a discount of 25%  [tex]25 \% \text { discount on } 85=\frac{25 \times 80}{100}[/tex][tex]25 \% \text { discount on } 85=21.25[/tex]After successive discount of 15% off and then 25% off on Cost price = 85 - 21.25 = 63.75On the other handIf 40% discount on the Cost price = 100/-[tex]40 \% \text { discount on } 100=\frac{40 \times 100}{100}[/tex][tex]40 \% \text { discount on } 100=40[/tex]After successive discount of 40% off on Cost price = 100 – 40 = 60The cost price by taking successive discount of 15% and 25% off is not same as discount of 40%Therefore this is false.