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Question

After getting two successive discount, a shirt with a list price of Rs. 150 is available at Rs. 105. If the second discount is 12.5% , find the first discount .


Options:
A .  20%
B .  22%
C .  24%
D .  25%
Answer: Option A

Let the first discount be `x`%

Then , 97.5% of (100 - `x`)% of 150 = 105

`rArr     87.5/100 xx (100 - x)/100 xx 150 =  105  rArr  100 - x  = ((105 xx 100 xx 100)/(150 xx 87.5))` = 80

`rArr   x =  (100 - 80)  = 20.`

`:.`      First discount  = 20%




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