In what ratio must rice of one kind worth Rs. 50/kg be mixed with another kind of rice of worth Rs. 55/kg such that by selling the mixture at Rs. 57.20/kg, there can be a gain 10%?
(A) 3:4
(B) 4:6
(C) 1:3
(D) 3:2
Answer: (D)
Explanation: SP of 1 kg mixture = Rs. 57.20
Profit = 10%
CP of 1 kg mixture =100SP/(100+Profit%) =100*57.20/(100+10) =5720/110
=Rs. 52
By rule of allegation
CP of 1 kg rice |
CP of 1 kg rice |
|
50 |
55 |
|
52 |
||
55 – 52 = 3 |
52 – 50 = 2 |
Hence required ratio = 3 : 2
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