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

Answer 1

Answer:

A. 48

His Mathematics marks are 48.

1. Understand the Proportion

• Since the marks are in proportion, the ratio of Mathematics marks to English marks remains constant:
  $\frac{\text{Mathematics Marks}}{\text{English Marks}} = \text{Constant Ratio}$

2. Find the Ratio Using Last Year's Marks

• Last year's Mathematics marks = 60

• Last year's English marks = 75

• $\text{Ratio} = \frac{60}{75} = \frac{4}{5}$

3. Calculate This Year's Mathematics Marks

• Let this year's Mathematics marks be $x$.

• This year's English marks = 60

Set up the proportion:
$\frac{x}{60} = \frac{4}{5}$
$x = \frac{4 \times 60}{5}$
$x = 4 \times 12 = \mathbf{48}$