Question

Long Answer Question
22) Madhu spends Rupees 850 for food and Rupees 900 on petrol from his monthly salary of Rupees 12500.
Prabhu spends Rupees 900 for food and Rupees 950 on petrol from his monthly salary of Rupees 16500.
What fraction of their salaries do each of them spend for food and petrol? Who has
more expenses?​

Answer 1

$\huge\tt{\bold{\purple{\underbrace{\red{\mathfrak{ɾҽզմíɾҽժ⠀αղsաҽɾ♡༄}}}}}}$

$\huge{\fbox{\pink{Given:-}}}$

Madhu spends money for $\huge{\green{Food}}$=₹850

Madhu spends money for $\huge{\blue{Petrol}}$= ₹900

$\huge{\red{Total⠀salary}}$ of Madhu = ₹12500

⠀

Prabhu spends money for $\huge{\green{Food}}$= ₹900

Prabhu spends money for $\huge{\blue{Petrol}}$= ₹950

$\huge{\red{Total⠀salary}}$ of Prabhu = ₹16500

⠀

$\huge{\fbox{\pink{Solution:-}}}$

${\purple{In ⠀Madhu's ⠀case}}$

$fraction \: of \: salary \: madhu \: spends \: on \: food \: = \frac{850}{12500} \\ \\ \implies fraction \: of \: salary \: madhu \: spends \: on \: food \: = \frac{17}{250} \\ fraction \: of \: salary \: madhu \: spends \: on \: petrol\: = \frac{900}{12500} \\ \\ \implies \: fraction \: of \: salary \: madhu \: spends \: on \: petrol\: = \frac{9}{125} \\ \\ total \: money \: madhu \: spends = 850 + 900 = 1750 \: rupees \\ \\ \implies fraction \: of \: total \: madhus \: expenditure = \frac{1750}{12500} = \frac{7}{50}$

${\purple{In⠀ Prabhu's⠀ case}}$

$fraction \: of \: salary \: prabhu \: spends \: on \: food \: = \frac{900}{16500} \\ \\ \implies fraction \: of \: salary \: prabhu \: spends \: on \: food \: = \frac{3}{55} \\ \\ fraction \: of \: salary \: prabhu \: spends \: on \: petrol\: = \frac{950}{16500} \\ \\ \implies \: fraction \: of \: salary \: prabhu \: spends \: on \: petrol\: = \frac{19}{330} \\ \\ total \: money \: prabhu \: spends = 900 + 950 = 1850 \: rupees \\ \\ \implies fraction \: of \: total \: prabhus \: expenditure = \frac{1850}{16500} = \frac{19}{330}$

⠀

Now, let us compare the fractions of theirs total expenditure to get who has more expenses.

$\frac{7}{50} \times \frac{33}{33} = \frac{231}{1650} \\ \\ \frac{37}{330} \times \frac{5}{5} = \frac{185}{1650} \\ \\ as \\ \\ \frac{231}{1650} \: is \: greater \: than \: \frac{185}{1650}$

So,

Madhu has more expenses than Prabhu.

Answer 2

Long Answer Question

22) Madhu spends Rupees 850 for food and Rupees 900 on petrol from his monthly salary of Rupees 12500.

Prabhu spends Rupees 900 for food and Rupees 950 on petrol from his monthly salary of Rupees 16500.

What fraction of their salaries do each of them spend for food and petrol? Who has

more expenses?