Question

Mr. Gupta has monthly income of ₹7000 he speeds 11/30 of his income on housing, 2/5on food and 1/10 on entertainment. How much money is left with him

Answer 1

Given :

• Monthly income of Mr Gupta = Rs 7000
• Expenditure on housing = (11/30) of monthly income
• Expenditure on food = (2/5) of monthly income
• Expenditure on entertainment = (1/10) of monthly income

To find :

Money left with Mr Gupta

Solution :

Monthly income = Monthly expenditure + Monthly saving

➝ Monthly saving = Monthly income - Monthly expenditure

________________________________

Now we will find monthly expenditure.

➝ Monthly expenditure = Expenditure on housing + Expenditure on food + Expenditure on entertainment

$\sf \implies Monthly \: expenditure = \dfrac{11}{30} \times 7000 + \dfrac{2}{5} \times 7000 + \dfrac{1}{10} \times 7000$

$\sf \implies Monthly expenditure = \: 7000 \times \bigg(\dfrac{11}{30} + \dfrac{2}{5} + \dfrac{1}{10} \bigg)$

$\sf \implies Monthly expenditure = \: 7000 \times \bigg( \dfrac{(11 \times 1) + (2 \times 6) + (1 \times 3)}{30} \bigg)$

$\sf \implies Monthly expenditure = \: 7000 \times \bigg( \dfrac{11 + 12 + 3}{30} \bigg)$

$\sf \implies Monthly expenditure = \: 7000 \times \bigg( \dfrac{26}{30} \bigg)$

$\sf \implies Monthly expenditure = \: \bigg( \dfrac{182000}{30} \bigg)$

$\sf \implies Monthly expenditure = \: 6066.67$

________________________________

➝ Monthly saving = Monthly income - Monthly expenditure

➝ Monthly saving = Rs 7000 - Rs 6066.67

➝ Monthly saving = Rs 933.33

________________________________

ANSWER :

Money left with Mr Gupta = monthly saving = Rs 933.33

Answer 2

$\LARGE\mathfrak{\underline{\underline{Given :-}}}$

• Monthly income of Mr. Gupta = Rs 7,000
• Expenditure on housing = (11/30) of monthly income
• Expenditure on food = (2/5) of monthly income
• Expenditure of entertainment = (1/10) of monthly income

$\LARGE\mathfrak{\underline{\underline{To find :-}}}$

• Money left with Mr. Gupta.

$\LARGE\mathfrak{\underline{\underline{Solution :-}}}$

Monthly income = Monthly expenditure + Monthly saving.

● Monthly saving = Monthly income - Monthly expenditure.

_______________________

Now we will find monthly expenditure.

● Monthly expenditure = Expenditure on housing + Expenditure on food + Expenditure of entertainment.

$\large\blue\implies$ Monthly expenditure = ${\bf{\frac{11}{30} \times 7000 + \frac{2}{5} \times 7000 + \frac{1}{10} \times 7000}}$

$\large\red\implies$ Monthly expenditure =

7000 × ${\bf{( \frac{11}{30} + \frac{2}{5} + \frac{1}{10} )}}$

$\large\blue\implies$ Monthly expenditure = 7000 × ${\bf{( \frac{(11 \times 1) + (2 \times 6) + (1 \times 3)}{30} )}}$

$\large\red\implies$ Monthly expenditure = 7000 × ${\bf{(11 + 12 + 3}{30)}}$

$\large\blue\implies$ Monthly expenditure = 7000 × ${\bf{(26}{30)}}$

$\large\red\implies$ Monthly expenditure = 7000 × ${\bf{(182000}{30)}}$

$\large\blue\implies$ Monthly expenditure = ${\bf\underline{6066.67}}$ $\large{\bf\green{✓}}$

_______________________

● Monthly saving = Monthly income - Monthly expenditure.

● Monthly saving = Rs 7000 - Rs 6066.67.

● Monthly saving = Rs 933.33.

_______________________

Hence Proved !!

• Money left with Mr. Gupta = Monthly saving = ${\bf\underline{Rs~933.33}}$ $\large{\bf\green{✓}}$