A girl buys 2 pigeons for 182. She sells one at a loss of 5% and another at a profit of 8%.
Posted on 11-02-2023
Ques - A girl buys 2 pigeons for 182. She sells one at a loss of 5% and another at a profit of 8%. But she neither gains nor loses on the whole. Find the price of pigeon which has sold at a profit.
(a) Rs. 112
(b) Rs. 85
(c) Rs. 70
(d) can't determined
Solution -
Let,
C.P. of one Pigeon = x
C.P. of second Pigeon = 182 - x
S.P. of one pigeon = (95/100)x
= 0.95x
S.P. of second pigeon = (108/100)(182 - x)
= 1.08(182 - x)
A/C
0.95x + 1.08(182 - x) = 182
0.95x + 1.08×182 - 1.08x = 182
-0.13x + 196.56 = 182
-0.13x = 182 - 196.56
-0.13x = -14.56
x = 14.56×0.13
x = 112
The price of pigeon which has sold at a profit = 182 - x
= 182 - 112
= 70
Hence,
The correct answer is option (c) Rs. 70.
Thank You