Question

raman spends 2/5 of his monthly income on food and 3/8 the remaining on clothes. find the following:. 1) what fraction of his income is left with him? 2) if the money left is ₹2400 find monthly income?​

Answer 1

If he spends 2/5, he has 3/5 left. He also has 5/8 left.

 

(3/5)(5/8) = 3/8 left

 

(3/8)m = 2400

(8/3)(3/8)m = (8/3)2400

m = 6400

Answer 2

Answer:

Given:

$\text{Fraction of his income spent on food } = \dfrac{2}{5}$

Find the fraction of his money left:

$\text{Fraction of his income left } = 1 - \dfrac{2}{5}$

$\text{Fraction of his income left } = \dfrac{5}{5} - \dfrac{2}{5}$

$\text{Fraction of his income left } = \dfrac{3}{5}$

Find the fraction of his money spent on clothes:

$\text{Fraction of his income spent on clothes } = \dfrac{3}{8} \text{ of his remaining money}$

of his remaining money

$\text{Fraction of his income spent on clothes } = \dfrac{3}{8} \times \dfrac{3}{5}$

$\text{Fraction of his income spent on clothes } = \dfrac{9}{40}$

Find the fraction of his income left:

$\text{Fraction of his income left } = \dfrac{3}{5} - \dfrac{9}{40}$

$\text{Fraction of his income left } = \dfrac{24}{40} - \dfrac{9}{40}$

$\text{Fraction of his income left } = \dfrac{15}{40}$

$\text{Fraction of his income left } = \dfrac{3}{8}$

Find his income:

$\text{Fraction of his income left } = \dfrac{3}{8}$

$\text{Fraction of his income left } = 2400$

$\dfrac{3}{8} \text { of his income} = 2400</p><p>8</p><p>3$

of his income=2400

$\dfrac{1}{8} \text { of his income} = 2400\div 3 </p><p>8</p><p>1$

of his income=2400÷3

$\dfrac{1}{8} \text { of his income} = 800$

of his income=800

$\text{ His income} = 800 \times 8$

$\text{ His income} = 6400$

Answer: (a) 3/8 of his income is left. (b) His income is ₹6400