Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 12)
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%?
Answer: Option
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. | ||
| Rs. 60 | Mean Price Rs. 62 | Rs. 65 |
| 3 | 2 | |
Required ratio = 3 : 2.
Discussion:
22 comments Page 3 of 3.
Simit said:
1 decade ago
Let us assume x/y ratio.
Now x+y = 1.
x/y+1 = 1/y ---- (1).
Now price,
60x+65y = 62.
60(x/y)+65 = 62[(x/y)+1].
Now this shows that difference become ratio.
Now x+y = 1.
x/y+1 = 1/y ---- (1).
Now price,
60x+65y = 62.
60(x/y)+65 = 62[(x/y)+1].
Now this shows that difference become ratio.
Arpit jain said:
1 decade ago
Ratio is obtained by difference between them...
62-60 = 2
65-62 = 3
62-60 = 2
65-62 = 3
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