Question

The ratio of students in a coaching preparing for B.tech and MBA is 4 : 5. The ratio of fees collected from each of B.tech and MBA students is 25 : 16. If the total amount collected from all the students is 1.62 lakh, what is the total amount collected from omly MBA aspirants?

A) Rs. 62,000 B) Rs. 72,000 C) Rs. 82,000 D) None of these

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• Ratio of students in a coaching preparing for B.tech and MBA is 4 : 5

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• The ratio of fees collected from each of B.tech and MBA students is 25 : 16

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• Total amount collected from all the students is 1.62 lakh

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$\red{\underline \bold{To \: Find:}}$

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• Total amount collected from only MBA aspirants

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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$\underline{\bold{\texttt{Students :}}}$

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Total no. of btech students be 4x.

Total no. of mba students be 5x.

[ since btech : mba = 4 : 5 ]

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$\underline{\bold{\texttt{Fees :}}}$

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Fees collected from btech students be 25y.

Fees collected from mba students be 16y.

[ since 25 : 16 ]

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$\underline{\bold{\texttt{We can frame equation as :}}}$

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⮕ 4x × 25y + 5x × 16y = 162000

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⮕ 100xy + 80xy = 162000

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⮕ xy = $\dfrac { 162000 } { 180} = 900$

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Now, fees collected from MBA students = 80xy

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$\bf \dashrightarrow 80 × 900 = 72000$

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Hence option B is correct

$\rule{200}5$