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Aman Arora

· started a discussion

· 1 Months ago

solution is wrong (Question:157446.0)

answer is 44.

Question:
A shopkeeper gives 1 item free with every 15 items and a discount of 4% is also offered to the trader and the shopkeeper still gain 35%. Find how much % did the shopkeeper mark his goods above C.P.
Options:
A) 44%
B) 47.7% 
C) 50%
D) 72%
Solution:
Buy 15 get 1 free

discount = Free/Total \(\times\) 100

= 1/16 \(\times \) 100

= 6.25%

Ist discount given = 4%

IInd discount = 6.25 %

Total discount = 10% (by formula = x+y - (xy/100))

Let CP = 100

given P% = 35%

Then SP = 135

M.P.\(\times\) (100 - D%) = SP

M.P. \(\times\) 90% = 135

MP = 150

So MP is 50% above C.P.

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