The ratio of Fatima's income to her savings is $4 : 1.$ The percentage of money saved by her is
(a) $20 %$
(b) $25 %$
(c) $40 %$
(d) $80 %$

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Solution

The correct option is (b): $25 %$
Given, ratio of income to savings $= 4 : 1$
Let income $= 4 x$ and savings $= x .$
$∴$ Percentage of money saved by her $= \frac{S a v i n g s}{(I n c o m e)} \times 100 %$ [We find percentage of saving on the basis of income ]
$= \frac{x}{4 x} \times 100 = \frac{x}{4 x} \times 100 = \frac{1}{4} \times 100 % = 25 %$

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Ratio as Percentage

Standard VII Mathematics

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The ratio of Fatima's income to her savings is 4:1. The percentage of money saved by her is (a) 20% (b) 25% (c) 40% (d) 80%

The correct option is (b): 25%Given, ratio of income to savings =4:1 Let income =4x and savings =x. ∴ Percentage of money saved by her =Savings(Income)×100% [We find percentage of saving on the basis of income ] =x4x×100=x4x×100=14×100%=25%

The ratio of Fatima's income to her savings is $4 : 1.$ The percentage of money saved by her is
(a) $20 %$
(b) $25 %$
(c) $40 %$
(d) $80 %$