Incomes of John and Kelvin are in the ratio 4 7 and their spending are in the ratio 6 11 If John sav...........

Quant (SSC) Ratio, Proportion

Incomes of John and Kelvin are in the ratio 4 : 7 and their spending are in the ratio 6 : 11. If John saves one third of his income, then what will be the ratio of their savings.

12 : 13

12 : 19

18 : 19

13 : 12

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Explanation:

Let the income of
John 4x,
Kelvin 7x
And expenditure be:
John → 6y……..(i)
Kelvin → 11y
John spending = John’s earning – John’s savings
John’s expenditure = 4x – 4x /3 = 8 /3x ..........(ii)
(i) = (ii)
6y = 8 /3x ⇒ x /y = 9/4
Reqd. Ratio = 4x - 6y /7x - 11y = 4x - (4/9x)6 /7x - (4/9x )11
= 36 - 24 /63 - 44 = 12 /19 = 12 : 19