A book shop offers a book at an increase of 10%. On the off chance that he had purchased it at 4% less and sold it for Rs. 6 more, he would have picked up 75/4 %. The expense cost of the book is:
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Let the C.P of the book = ₹ x
gain = 10%
S.P =110x/ 100
If he had bought it at 4% less and sold it for Rs 6 more,
C.P=96x/ 100
S.P =(110x/100)+6
Gain=((110x/100)+6)− 96x/100
= (14x/100)+6
Now, the gain =18 3/4%=75/ 4%
Therefore,
(14x/100)+6=(96x/100)×75/400
(14x/100)+6=(96x/4)×3/ 400
14x+600=(96x/ 4)×3/ 4
14x+600=6 x(×3)
14x+600=18x
18x-14x=600
4x=600
x=150
The C.P of the book is ₹ 150
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