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The marks in Mathematics and English of S are in proportion. Last year when he got 60 marks in Mathematics, he secured 75 marks in English. If his mar
Question

The marks in Mathematics and English of S are in proportion. Last year when he got 60 marks in Mathematics, he secured 75 marks in English. If his marks in English this year are 60, then his Mathematics marks are _____.

A.

48

B.

40

C.

60

D.

75

Correct option is A

Given:
Last year: Mathematics = 60, English = 75
This year: English = 60, Mathematics = ?
Formula Used:
In proportion,Mathematics1English1=Mathematics2English2\text{In proportion,}\\ \quad \frac{\text{Mathematics}_1}{\text{English}_1} = \frac{\text{Mathematics}_2}{\text{English}_2}​​
Solution:
=>6075=x60 =>x=60×6075 =>x=360075=48\Rightarrow \frac{60}{75} = \frac{x}{60}\\\ \\\\\Rightarrow x = \frac{60 \times 60}{75}\\\ \\\Rightarrow x = \frac{3600}{75} = 48\\​​
Therefore, his Mathematics marks this year are 48.

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