Question

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?
A) Rs. 185
B) Rs. 154
C) Rs. 200
D) Rs. 177

Answer 1

Let the C.P be 'x'
Then, the selling price S.P = x - 16x/100
= 84x/100 = 21x/25
Now, if the S.P is 60 more, then the profit is 14% 
=> 21x/25 + 60 = x + 14x/100
=> 114x/100 - 21x/25 = 60
=> (57 - 42)x/50 = 60
=> 15x/50 = 60
x = 3000/15 = 200

Therefore, the Cost price C.P = x = Rs. 200

Answer 2

Q:

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

A) Rs. 185
B) Rs. 154
C) Rs. 200
D) Rs. 177

Answer:   C) Rs. 200 

Read Description:

Let the C.P be 'x'

Then, the selling price S.P = x - 16x/100
= 84x/100 = 21x/25

Now, if the S.P is 60 more, then the profit is 14% 

=> 21x/25 + 60 = x + 14x/100

=> 114x/100 - 21x/25 = 60

=> (57 - 42)x/50 = 60

=> 15x/50 = 60

So, x = 3000/15 = 200

Hence, the Cost price C.P = x = Rs. 200