Question

anil spends 40% of his income on food,25% on rent,15% on school fees and 17% on other items.If he saves 1200 rs per month find his monthly income

Answer 1

$\begin{lgathered}\tt {\pink{Given}}\begin{cases} \sf{\green{Spend\:on\:Food=40\%}}\\ \sf{\blue{Spend\:on\:Rent=25\%}}\\ \sf{\orange{Spend\:on\:School\:Fees=15\%}}\\ \sf{\purple{Spend\:on\:Other\:items=17\%}}\\ \sf{\red{Save\:in\:Last=Rs.1200}}\end{cases}\end{lgathered} \:$

$\Large\underline\mathfrak{Question}$ :---

$\large\textbf{find his monthly income.}$

$\rule{200}{4}$

$\large\star{\underline{\tt{\red{Answer}}}}\star$

Let His monthly income is = 100%

→ His Total Expenditure = 40% + 25% + 15% + 17% = 97% .

Now , we know that,

$\orange{\large\boxed{\tt \: Saving = Income - Expenditure}}$

→ Saving = 100% - 97%

→ saving = 3 % .

And, value of Saving is given Rs.1200 .

So,

$\red\leadsto\sf 3\% = 1200 \\ \\ \red\leadsto\sf 1\% = \frac{1200}{3} \\ \\ \red\leadsto\sf 100\% = \frac{1200}{3} \times 100 \\ \\ \red\leadsto\large\red{\boxed{\tt\blue{Income}\purple{=}\green {Rs}\orange.\pink{40000}}} \:$

$\rule{200}{4}$

$\green\therefore \blue{\sf His \: Monthly \: Income \: is} \:\red{ \bf \: Rs.48000}.$

Answer 2

Answer:

$\huge{\boxed{\mathfrak{Answer:\bf\green{Rs.40000}}}}$

________________________

Given that,

• Expense on food = 40%
• Expense on rent = 25%
• Expense on school fees =15%
• Expense on other terms= 17%
• Monthly savings =Rs.1200
• $\bold\purple{<strong>His</strong><strong>\</strong><strong>:</strong><strong>monthly</strong><strong>\</strong><strong>:</strong><strong>income</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>=</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>?</strong>}$

$\tt His\:total\:expense=(40\% + 25\% + 15\% + 17\%) \\ \rightarrow\bold {His\:total\:expense=97\%}$

$\bold{Let's\:take\:total\:income\:as\:100\%}$

$\tt We\:know\:that,\\ \bold{Savings=Total\:income-Total\:expense}$

$\tt Now,\:His\:savings=100\% - 97\% \\ \rightarrow\bold{ His\:savings=3\%}$

According to question now,

$\tt 3\% = 1200 \\ \tt 1\% =\frac{1200}{3} \\ \tt 100\% =\frac{1200\times 100}{3} \\ \tt \: \: \: \:\: \: \: \:\: \: \: = \frac{120000}{3}$

$</h3><h3>\bold{Total\:income}$=$\bold\blue{ 40000 }$

$\therefore\bold{\underline{His\:monthly\:income=Rs.40000}}$