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Mixture and Alligation #21

21. How many kg of rice at Rs.6.60 per kg be mixed with 56 kg of rice at Rs.9.60 per kg to get a mixture worth Rs.8.20 per kg?
A. 56 kgB. 52 kg
C. 44 kgD. 49 kg

Answer: Option D

Explanation:

By rule of alligation,

Cost of 1 kg of 1st kind riceCost of 1 kg of 2nd kind rice
6.69.6
Cost of 1 kg of the mixture
8.2
9.6 - 8.2 = 1.48.2 - 6.6 = 1.6

Quantity of 1st kind rice : Quantity of 2nd kind rice = 1.4 : 1.6 = 7 : 8
=> Quantity of 1st kind rice : 56 = 7 : 8
=> Quantity of 1st kind rice $=56 × \dfrac{7}{8} = 49$

Comments(2)

profileAssad
2015-09-09 20:04:31 
Hello, 
why 56*(7/8)? 

it should be 56*7/(7+8)?
like 0 dislike 0 reply
profileRaj
2015-09-09 20:18:41 
Quantity of 1st kind rice : 56 = 7 : 8
=> Quantity of 1st kind rice * 8 = 56 * 7
=> Quantity of 1st kind rice = (56*7)/8
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