The amount of water in ml that should be added to reduce 7 ml lotion containing 70 alcohol to a loti...........

Quant (SSC) Mixture and Alligation

The amount of water (in ml) that should be added to reduce 7 ml lotion, containing 70% alcohol, to a lotion containing 35% alcohol, is

35 ml

4 ml

7 ml

10.5 ml

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Explanation:

Let the required volume of water to be added = x ml
When added to 7 ml lotion, the total volume = “7 + x” ml
If the lotion contains 70% alcohol, then it contains 30% water
If it contains 35% alcohol, it contains 65% water.
By balancing the volume of water before and after dilution of the lotion, we get :
(Amount of water in lotion before dilution) + (amount of water added) = (amount of water in lotion after dilution)
(30% of 7) + x = (65% of “7 + x”)
⇒ ( 30 × 7 ) + x = 65 × 7 + x
100 100
⇒ 210 + 100x = 65 × (7 + x)
⇒ 210 + 100x = 455 + 65x
⇒ 35x = 245
⇒ x = 7