A shopkeeper marked price of a shirt 50% more than the CP of the shirt. When he sells the shirt at x% discount then ___ % profit is obtained and when it is sold at a discount of 2x%, ___ % profit is obtained. Which of the following options are possible for the blanks in same order. A. 60,30 B. 20,8 C. 38,26 D. 35,20 E.41,32

A shopkeeper marked price of a shirt 50% more than the CP of the shirt

1.	A shopkeeper marked price of a shirt 50% more than the CP of the shirt. When he sells the shirt at x% discount then ___ % profit is obtained and when it is sold at a discount of 2x%, ___ % profit is obtained. Which of the following options are possible for the blanks in same order. A. 60,30 B. 20,8 C. 38,26 D. 35,20 E.41,32
Answer» AandE B, D andE C,DandE All are possible Solution :Let CP = 100 & MP = 150 From A If profit = 60% Hence no discountis possiblehere so, it does not satisfy equation. From B When profit is 20% then disocunt will be `(30)/(150) XX 100 = 20%` When it doubles i.e., discount = 40%. Then , `SP = 150 - (40)/(100) xx 150 = 90` So, it gave loss of 10% not possible. From C When Profit = 38%. Then discount `= (12)/(150) xx 100 = 8%` Whenit double= 16% Then `SP = 150-(16)/(100) xx 150 = 126` So,profit is 26% So, OPTION C is possible. From D When profit = 35% Discount `= (15)/(100) xx 100 = 10%` Whendiscountgets double= 20% `SP = 150 - (20)/(100) xx 150 = 120` So profitis 20%, hencepossible . From E Whenprofit= 41% then discount`= (9)/(150) xx 100 = 6%` When discount = 12%. `SP = 150-(12)/(100)xx 150 =132` Profit is 32%. So, it is possible . Then C,D and E values are possible.