Quantitative Aptitude :: Profit and Loss - Discussion
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If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
A40%
B55%
C35%
D30%
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Above answer convinced me but why its answer can't be 50%. An explanation is below...
Let's assume the original price of product = 100x
After giving 25% discount Selling Price = 75x
If Company sells the product at 75x it gains 25% profit so Cost Price of product = (100/100+Gain%)*S.P.
= (100/125)*75x = 60x.
So the cost price of the product is 60x.
Now if the product sold at 10% discount its selling price = 90x
Gain = 90x - 60x = 30x
gain% = (30x/60x)*100 = 50 %
So Company will get 50% profit.
verification of c.p
gain = 75x-60x = 15x
gain % = (15x/60x)*100 = 25% which is as given in the question.
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Kumar
24 Nov, 2019 1:10 PM
Let C.P= 50
if we are selling at S.P = 100 then,
Profit % =((S.P-C.P)/C.P)*100 = (50/50)*100 = 100%
If we are selling at S.P = 150 then,
Profit % = ((150-50)/50)*100 = 200%
** IF WE APPLYING THE ABOVE ANSWER METHOD mentioned in the solution**
for Rs.100 --- 100%
for Rs.150 --- X%
then X = (100*150)/100 = 150% ---- ------- ------ WHICH IS " WRONG "
SO THE ANSWER IS 50%
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