Question

Raman's monthly salary is ? 9600. He spends
1/4 of his salary on food and out of the
remaining, he spends 1/5 on rent and 1/6 on education
of his children, Find
i) how much does he spend on each part?
ii) how much money is left with him?
​

Answer 1

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• Raman's monthly salary is 9600. He spends $\sf {\dfrac{1}{4} }$ of his salary on food and out of the remaining, he spends $\sf {\dfrac{1}{5} }$ on rent and $\sf {\dfrac{1}{6} }$ on education of his children.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

1. How much does he spend on each part?
2. How much money is left with him?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\dashrightarrow \sf {Money \:spent \:on\: food = \dfrac{1}{4}\: of \:Rs. \:9600}$

$\dashrightarrow \sf {Money\: spent \:on \:food = Rs. \bigg(\dfrac{1}{4} \times 9600\bigg) }$

$\dashrightarrow \sf {Money\: spent \:on \:food = Rs.\: 2400}$

$\rule{250}{2}$

$\dashrightarrow \sf {Remaining \:money \:with \:him = Rs. \:9600 - Rs. \:2400}$

$\dashrightarrow \sf {Remaining \:money \:with \:him = Rs. \:7200}$

$\rule{250}{2}$

$\dashrightarrow \sf {Money \:spent \:on\: rent = \dfrac{1}{5} \:of \:Rs. 7200}$

$\dashrightarrow \sf {Money\: spent \:on \:rent = Rs. \bigg(\frac{1}{5} \times 7200\bigg) }$

$\dashrightarrow \sf {Money \:spent \:on\: rent = Rs. \:1440}$

$\rule{250}{2}$

$\dashrightarrow \sf {Money\: spent \:on \:education \:of \:children = \dfrac{1}{6}\: of \:Rs.\: 7200}$

$\dashrightarrow \sf {Money\: spent \:on \:education \:of \:children = Rs. \bigg(\dfrac{1}{6} \times 7200\bigg) }$

$\dashrightarrow \sf {Money\: spent \:on \:education \:of \:children = Rs. \:1200}$

$\rule{250}{2}$

$\dashrightarrow \sf {Total \:money \:spent = Rs. 2400 + Rs. 1440 + Rs. 1200}$

$\dashrightarrow \sf {Total\: money \:spent = Rs. \:5040}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

$\dashrightarrow \sf {Money\:left\:with\: him = Rs. 9600 - Rs. 5040}$

$\dashrightarrow \sf {Money\:left\:with\: him = Rs. 4560}$

$\rule{250}{2}$

Answer 2

Given :

• Raman's monthly salary = Rs 9600

• He spends 1/4 of his salary on food

• And out of the remaining, he spends 1/5 on rent and 1/6 on education

To Find :

• how much does he spend on each part

• how much money is left with him

Solution :

Raman's earning of 1 month = Rs 9600

He spend 1/4th of his income on food

Now 1/4th of Rs 9600 = Rs 2400

Remaining money = Rs( 9600 - 2400)

= Rs 7200

Now

1/5th of remaining money if spent on rent =

1/5 × Rs 7200 = Rs 1440

and

1/6th of remaining money if spent on education=

1/6 × Rs 7200 = Rs 1200

Money left with him =

Rs ( 7200 - 1440 - 1200) = Rs 4560