Question

An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item?
A) Rs. 90
B) Rs. 75
C) Rs. 55
D) Rs. 40

Answer 1

Let the cost price of the item = Rs. 50

Sold at 10% loss => for Rs. 50 loss  S.P = Rs. 45

From the  given data,

25/2 % gain if it is sold at Rs. 9 more

56.25 - 45 = 9

=> 11.25 = 9

=> 22.5 = 18

=> 45 = 36

=> 50 = ?

=> C.P = 50 x 3645 = 40

 

Hence, the Cost price of the item = Rs. 40.

Answer 2

Q:

An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item?

A) Rs. 90
B) Rs. 75
C) Rs. 55
D) Rs. 40

Answer:   D) Rs. 40 

Read Description:

Let the cost price of the item = Rs. 50

Sold at 10% loss => for Rs. 50 loss  S.P = Rs. 45

From the  given data,
25/2 % gain if it is sold at Rs. 9 more
56.25 - 45 = 9

=> 11.25 = 9
=> 22.5 = 18
=> 45 = 36
=> 50 = ?
=> C.P = 50 x 3645 = 40C.P = 50 x 36/45 = 40
 
Hence, the Cost price of the item = Rs. 40.