Question

I.
एकपदेन उत्तरत- (केवलं प्रश्नद्वयम्)
(क) 'कोसी' कस्यां दिशि वहति?
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Answer 1

Explanation:

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

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

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.