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The ratio of the quantities of sugar, in which sugar costing $ 20 per kg. and $ 15 per kg. should be mixed so that there will be neither loss nor gain on selling the mixed sugar at the rate of $ 16 per kg, is
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- 2 : 1
- 1 : 2
- 4 :1
- 1 : 4
Correct Option: D
Let p kg of sugar costing 20/kg and q kg of sugar costing 15/kg are mixed.
According to the question,
20p + 15q = 16 (p + q)
⇒ 20p + 15q = 16p + 16q
⇒ 20p – 16p = 16q – 15q
⇒ 4p = q
| ∴ | = | or 1 : 4 | q | 4 |
We can find required answer with the help of given formula :
By the rule of alligation ,
∴ Required ratio = 1 : 4
