How many kg of rice, of cost 9 Rs/kg must be mixed with 27 kg of rice of cost 7 Rs/kg get a gain of 10 % by selling the mixture at 9.24 Rs/kg?
(A) 60
(B) 71
(C) 63
(D) 65
Answer: (C)
Explanation: Selling Price(SP) of 1 kg mixture= Rs. 9.24
Profit = 10%
Cost Price(CP) of 1 kg mixture = 100SP/(100+Profit%)
=100*9.24/(100+10) =924/110=8.4
By rule of alligation,
|
CP of 1 kg rice of 1st kind |
CP of 1 kg rice of 2nd kind |
|
|
Rs. 9 |
Rs. 7 | |
|
Rs.8.4 |
||
|
8.4 – 7 = 1.4 |
9 – 8.4 = 0.6 |
|
Ratio = 1.4 : 0.6 = 14 : 6 = 7 : 3
Suppose x kg of kind1 rice is mixed with 27 kg of kind2 rice.
then x : 27 = 7 : 3
⇒3x=27×7
⇒x=9×7=63
Quiz of this Question
Please comment below if you find anything wrong in the above post