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in Profit and Loss by (95.4k points)
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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. AandE
B. B, D andE
C. C,DandE
D. All are possible

1 Answer

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Best answer
Correct Answer - C
Let CP = 100 & MP = 150
From A
If profit = 60%
Hence no discount is possible here 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%`
When it 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%`
When discount gets double = 20%
`SP = 150 - (20)/(100) xx 150 = 120`
So profit is 20%, hence possible .
From E
When profit = 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.

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