Question

a और b के वेतन का योग 2100 रु. है। a अपने वेतन का 80℅ खर्च करता है और b 70℅ करता है। अगर उनका बचत 4:3 का अनुपात है तो a का वेतन कितना है

Answer 1

Answer:

The income of a is 1400.

Step-by-step explanation:

Let the income of a be x.

It is given that the sum of income of a and b is 2100. So, the income of b is (2100-x).

A spent 80% of his income, so he save 20% of his income.

Saving of a is $\frac{20}{100}x=\frac{1}{5}x$

A spent 70% of his income, so he save 30% of his income.

Saving of b is $\frac{30}{100}(2100-x)=\frac{3}{10}(2100-x)$

The saving ratio of a and b is 4:3.

$\frac{\frac{1}{5}x}{\frac{3}{10}(2100-x)}=\frac{4}{3}$

$\frac{3}{5}x=\frac{3\times 4}{10}(2100-x)$

$\frac{3}{5}x=\frac{6}{5}(2100-x)$

$\frac{3}{5}x=\frac{6}{5}(2100-x)$

$3x=6\times 2100-6x$

$3x+6x=12600$

$9x=12600$

Divide both sides by 9.

$x=1400$

Therefore the income of a is 1400.