Jasbir’s monthly salary is 8400. He spends 1/4 th of his salary on food
and 1/7 th of his salary on rent. Out of the remaining salary he spends 1/3 rd on the education of children.
Find-
1 How much does he spend on each part?
2 How much money is still left with him ?
[tex]\large{\underline{\underline{\mathbf\purple{✟\:Given:-}}}}[/tex]
[tex]\large{\underline{\underline{\mathbf\pink{✟\;To\:Find:-}}}}[/tex]
_______________________
[tex]\large{\underline{\underline{\mathbf \orange{✟\:Solution:-}}}}[/tex]
Money spent on food = [tex] \sf { \frac{1}{4} \: of \: 8400 } [/tex]
[tex]\tt:\implies{}[/tex] [tex]\sf {= ( \frac{1}{4} \times 8400) \: = 2100} [/tex]
Money spent on rent = [tex] \sf {\frac{1}{7} \: of \: 8400}[/tex]
[tex]\tt:\implies{}[/tex][tex]\sf {= ( \frac{1}{7} \times 8400) \: = 2100} [/tex]
Remaining money = [tex]\sf {8400-2100-1200} [/tex]
[tex]\tt:\implies{}[/tex][tex]\sf {=5100} [/tex]
Money spent on the children = [tex]\sf { \frac{1}{3} \: of \: 5100} [/tex]
[tex]\tt:\implies{}[/tex] [tex]\sf { = ( \frac{1}{3} \times 5100 ) = 1700} [/tex]
Total money spent = [tex] \sf {2100+1200+1700} [/tex]
[tex]\tt:\implies{}[/tex][tex]\sf {= ₹5000} [/tex]
Money left with him = [tex] \sf {8400- 5000} [/tex]
[tex]\large{\underline{\boxed{\mathrm\blue{=\:₹3400}}}}[/tex]
[tex]\bf{\underline{\underline \blue{Solution:-}}}[/tex]
[tex]\sf\underline{\red{\:\:\: Given:-\:\:\:}}[/tex]
Jasbir’s monthly salary is 9600. He spends [tex]\sf {\dfrac{1}{4} } [/tex]
of his salary on food and out of the remaining, he spends
on rent and [tex]\sf {\dfrac{1}{6} }[/tex]
on education of his children.
[tex]\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}} [/tex]
[tex]\bf{\underline{\underline \blue{Explanation:-}}}[/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money \:spent \:on\: food = \dfrac{1}{4}\: of \:Rs. \:9600} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money\: spent \:on \:food = Rs. \bigg(\dfrac{1}{4} \times 9600\bigg) } \\ \end{gathered} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money\: spent \:on \:food = Rs.\: 2400} \\\\ \end{gathered} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Remaining \:money \:with \:him = Rs. \:9600 – Rs. \:2400} \\ \end{gathered} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Remaining \:money \:with \:him = Rs. \:7200} \\\\ \end{gathered}[/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money \:spent \:on\: rent = \dfrac{1}{5} \:of \:Rs. 7200} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money\: spent \:on \:rent = Rs. \bigg(\frac{1}{5} \times 7200\bigg) } \\ \end{gathered} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money \:spent \:on\: rent = Rs. \:1440} \\\\ \end{gathered} [/tex]
______
[tex]\begin{gathered}\dashrightarrow \sf {Money\: spent \:on \:education \:of \:children = \dfrac{1}{6}\: of \:Rs.\: 7200} \\ \end{gathered} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money\: spent \:on \:education \:of \:children = Rs. \bigg(\dfrac{1}{6} \times 7200\bigg) } \\ \end{gathered}[/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money\: spent \:on \:education \:of \:children = Rs. \:1200} \\\\ \end{gathered}[/tex]
_____________________________
[tex]\begin{gathered}\dashrightarrow \sf {Total \:money \:spent = Rs. 2400 + Rs. 1440 + Rs. 1200} \\ \end{gathered} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Total\: money \:spent = Rs. \:5040} \\\\ \end{gathered} [/tex]
[tex]\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money\:left\:with\: him = Rs. 9600 – Rs. 5040} \\ \end{gathered} [/tex]
[tex]\begin{gathered}\dashrightarrow \sf {Money\:left\:with\: him = Rs. 3400} \\\end{gathered} [/tex]