Question

A shopkeeper gives two successive discounts of 20 % and 10 % on surplus stock. Further, he also gives 5 % extra discount on cash payment. If a person buys a shirt from the surplus stock and pays in cash, what overall discount percent will he get on the shirt?

Answer 1

35% would be the overall discount

Answer 2

Answer: Overall discount is 31.6%

 

Step-by-step explanation:

Let the cost price of the shirt = Rs. 100

First discount is 20%

∴   $20\% \text{ of } 100 = \dfrac{20}{100} \times 100=20$

cost of shirt after first discount = 100-20 =Rs. 80

second discount on surplus is 10 percent

∴  $10\% \text{ of } 80 = \dfrac{10}{100} \times 80=8$

cost of shirt after second discount is 80 - 8 =Rs.72

Now the customer pays in cash therefore there is a 5% extra discount

∴  $5\% \text{ of } 72 = \dfrac{5}{100} \times 72= 3.6$

cost of shirt after third discount 72 - 3.6 = Rs. 68.4

overall discount is 100- 68.4= Rs. 31.6

 

overall discount percentage =  $\dfrac{discount}{C.P.} \times 100= \dfrac{31.6}{100} \times 100= 31.6\%$

Hence, overall discount is 31.6%