Question

The ratio of expenditure of A,B and C are 16:12:9 respectively and their savings are 20%, 25% and 40% of their income. If the sum of their income is 1530, Find B's salary. ​

Answer 1

simple answer would be

480.

Answer 2

B's salary would be 480.

Step-by-step explanation:

Given,

The ratio in the expenditure of A,B and C is 16:12:9,

Let A's expenditure = 16x, B's expenditure = 12x and C's expenditure = 9x,

Where, x is any positive real number,

If their savings are 20%, 25% and 40% of their income respectively,

Then their expenditure are 80%, 75% and 60% of their income respectively,

That is,

80% of A's income = 16x

$\frac{80}{100}$ of A's income = 16x

$\frac{4}{5}$ A's income = 16x

A's income = $\frac{5}{4}$ of 16x = 20x,

Similarly,

75% of B's income = 12x

$\frac{75}{100}$ of B's income = 12x

$\frac{3}{4}$ B's income = 12x

B's income = $\frac{4}{3}$ of 12x = 16x,

And,

60% of C's income = 9x

$\frac{60}{100}$ of C's income = 9x

$\frac{3}{5}$ C's income = 9x

C's income = $\frac{5}{3}$ of 9x = 15x,

Hence, the ratio of their income are 20x, 16x and 15x,

Total income = 20x + 16x + 15x = 51x,

According to the question,

51x = 1530

$\implies x =\frac{1530}{51}=30$

Therefore, B's income = 16(30) = 480.

#Learn more:

Income of a,b and c is in the ratio of 7:9:12 and expenditure in 8:9:15. If a saves 1/4th (25%) of his income find the ratio of their savings?

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