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Mixture and Alligation #11

11. In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a kg such that by selling the mixture at Rs. 68.20 a kg ,there can be a gain 10%?
A. 2 : 3B. 3 : 4
C. 3 : 2D. 4 : 3

Answer: Option C

Explanation:

Cost Price(CP) of 1 kg mixture = Rs. 68.20

Profit = 10%

Cost Price(CP) of 1 kg mixture $=\dfrac{100}{(100+\text{Profit}\%)}× \text{SP}$
$=\dfrac{100}{(100+10)}× 68.20\\\\= \dfrac{100}{110}× 68.20=\dfrac{682}{11}= \text{Rs. }62$

By rule of alligation

CP of 1 kg tea
of 1st kind
CP of 1 kg tea
of 2nd kind
6065
Mean Price
62
65 - 62 = 362 - 60 = 2

Hence required ratio = 3 : 2

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