A man purchases two fans for ₹ 2160. By selling Ane fan at a profit of 15%and the other at a loss of 9% he either gains nor losses in the whole transaction. Find the cost price of each fan.
Answers
ANSWER
It is given that one fan is sold at a profit of 15%, and the other is sold at a loss of 9% such that the total transaction is neither a loss nor a gain.
Profit : Loss
= 15 : 9
= 5 : 3
It is also given that both fans are purchased for 2160.
Therefore, the price of the first fan = 810
The cost of the second fan=1350
Answer:
CP of 1st Fan = Rs. 810
CP of 2nd Fan = Rs. 1350.
Step-by-step explanation:
let x be CP of 1st fan.
CP of 2nd fan = 2160-x
S.P of 1st fan = 1.15x
S.P of 2nd fan = 0.91(2160-x).
//since he did not make any profit or loss with this transaction.
S.P of 1st fan + S.P of 2nd fan = Total C.P
1.15x + 0.91(2160-x) = 2160
0.24x + 0.91*2160 = 2160
0.24x = 0.09*2160
x = 9*2160/24 = Rs. 810.
CP of first fan = Rs. 810
CP of 2nd Fan = 2160 - 810 = Rs 1350.