Question

5. A book seller sells a book at a
profit of 10%. If he had bought it
at 4% less and sold it for 6
more, he would have gained
18×3/4 %. The cost price of the
book is
(1) 130 (2) 140
(3) 150 (4) 160​

Answer 1

Answer:

(3) 150

Step-by-step explanation:

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