Question

14. Find the single discount which is equivalent to two successive discounts of 20% and 5%.​

Answer 1

Answer:

single discount is 24%

Step-by-step explanation:

let the Marked price be Rs. 100

$= 100 - 20\% \: of \: 100 \\ \\ = 100 - \frac{20}{100} \times 100 \\ \\ = rs.80 \\ \\ \\ now \\ = 80 -5\% \: of \: 80 \\ \\ = 80 - \frac{5}{100} \times 80 \\ \\ = 80 - 4 \\ \\ = rs.76$

Price after two successive discounts of 20% and 5%. is Rs. 75 which will be the Selling price

now,

discount amount = MP - SP

= 100 - 76

= Rs. 24

$discount\% = \frac{24}{100} \times 100\% \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24\%$

Answer 2

single discount is 24%

hope it helps you to gain knowledge ❣️❣️