Question

find the singe discount equivalent to three successive discounts of 20%, 5% and 1%​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Equivalent\:discount\%=24.76\%}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Successive \: discount = 20\%.5\% \: and \: 1\% \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Equivalent \: discount =?$

• According to given question :

$\tt \circ \: Let \: price \: be \: 100\\ \\ \bold{For \: 20\% \:Discount} \\ \tt: \implies Discounted \: price = 100 - 20\% \: of \: 100 \\ \\ \tt: \implies Discounted \: price =100 - 20 \\ \\ \green{\tt: \implies Discounted \: price =80} \\ \\ \bold{Similarly\:(discount\% =5\% : } \\ \tt: \implies Discounted \: price = 80 - 5\% \: of \: 80 \\ \\ \tt: \implies Discounted \: price =80 - 4 \\ \\ \green{\tt: \implies Discounted \: price =76} \\ \\ \bold{Again, (Discount \% = 1\%)} \\ \tt: \implies Discounted \: price =76 - 1\% \: of \: 76 \\ \\ \tt: \implies Discounted \: price =76 - 0.76 \\ \\ \green{\tt: \implies Discounted \: price = 75.24} \\ \\ \bold{For \: Equivalent \: discount : } \\ \tt: \implies Equivalent \: discount\% = \frac{100 - 75.24}{100} \times 100 \\ \\ \tt: \implies Equivalent \: discount\% = \frac{24.76}{100} \times 100 \\ \\ \green{\tt: \implies Equivalent \: discount\% =24.76\%}$

Answer 2

Given:-

Successive discount = 20% , 5% and 1% .

$\large\mathtt{To \: Find}$

Equivalent discount = ?

$\large\mathtt\pink{SOlUtion:-}$

Let the price be taken as 100.

$\red{\bold{\underline{\underline{Now,}}}}$

For 20% discount,

$\implies$Discounted price = 100 - 20% of 100

$\implies$Discounted price = 100-20

$\orange{\bold{=80}}$

$\orange{\bold{\therefore\: For 5% discount, }}$

$\implies$Discounted price = 80-20% of 80

$\implies$Discounted price = 80- 4

$\orange{\bold{= 76}}$

Again ,

$\orange{\bold{\therefore\: For 1% discount, }}$

$\implies$Discounted price = 76 - 1% of 100

$\implies$Discounted price = 76 - 0.76

$\orange{\bold{= 75.24}}$

Now,

For equivalent discount :-

$\implies \: Equivalent discount\% = \frac{100 - 75.24}{100}$

$\sf$= 24.76%

$\large\mathtt{BE BRAINLY}$