Question

Question:

Mariam bought two fans for Rs. 3605. She sold one at a profit of 15%and the other at a loss of 9%. If Mariam obtained the same amound for each fan, find the cost price of each fan.

sir I have no any doubt in answer I have only one doubt that why we assume sp to 100 .

Answer 1

Its for ease of solving.
Because percentage is in the term of 100
Let cost of table fans be Rs. x and Rs. y respectively
As per question,
=> x+y = 3605
=> y = 3605-x ...(1)

SP of,
=> First fan = x + 15% of x = Rs. 115x/100
=> Second fan = y - 9% of y = Rs. 91y/100

As per question,
=> 115x/100 = 91y/100
=> 115x = 91y
=> 115x = 91(3605-x) (From 1)
=> 115x = 328055-91x
=> 115x+91x = 328055
=> 206x = 328055
=> x = 328055/206 = Rs. 1592.50

∴ y = (3605-1592.50) = Rs. 2012.50