Ratio of income of A, B and C is 3 : 7 : 4 and the ratio of their expenditure is 4 : 3 : 5. If A saves \(14\frac{2}{7}\)% of his income. Find the ratio of their saving.
Answer & explanation
Correct answer: option 1
A : B : C
Income: 3 : 7 : 4 ..........(i)
Exp.: 4 : 3 : 5 .........(ii)
**Note: If a saves 14\(\frac{2}{7}\)% = \(\frac{1}{7}\) of his income, it means
For A ⇒ Income : Expenditure = 7 : 6.
*[According to this ratio of income and Exp. of A is 3 : 4 but according to condition it should be 7 : 6
Therefor in this situation always follow two steps
a) Make it in the ratio 1 : 1
b) multiply by the new ratio in which we want to convert.]
a)
A : B : C
Income: 4 x (3 : 7 : 4
Exp.: 3 x (4 : 3 : 5
b)
A : B : C
Income: 7 x 4 x (3 : 7 : 4
Exp.: 6 x 3 x (4 : 3 : 5
New Ratio:
A : B : C
Income: 84 : 196 : 112
Exp.: 72 : 54 : 90
Saving: 12 : 142 : 22
6 : 71 : 11