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

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 article = Rs. x

S.P. at 10% loss = Rs 0.9x

According to question if it is sold by Rs 9 more there will be gain of 25/2 %

=> 0.9x + 9 = x × 100 + 12 1/2 / 100

=> 0.9x + 9 = 225x / 200

=> 180x + 1800 = 225x

=> 225x - 180 x = 1800

=> 45x = 1800

=> x = Rs. 40