Exercise :: Alligation or Mixture - General Questions
11.
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A.
1 : 3
B.
2 : 3
C.
3 : 4
D.
4 : 5
Answer: Option B
Explanation:
By the rule of alligation:
Cost of 1 kg of 1st kindCost of 1 kg of 2nd kind
720 p
Mean Price
630 p
570 p
60
90
Required ratio = 60 : 90 = 2 : 3.
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12.
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A.
3 : 2
B.
3 : 4
C.
3 : 5
D.
4 : 5
Answer: Option A
Explanation:
S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.
C.P. of 1 kg of the mixture = Rs.
100
x 68.20
= Rs. 62.
110
By the rule of alligation, we have:
Cost of 1 kg tea of 1st kind.Cost of 1 kg tea of 2nd kind.