To solve the problem, let's break it down step-by-step:
1. Understanding the given information:
- A man earns ₹525 per day.
- We need to find out how many days it takes for a man to earn ₹3675.
2. Formulate the problem:
- We can use the formula for total earnings, which is:
[tex]\[
\text{Total Earnings} = \text{Daily Earning} \times \text{Number of Days}
\][/tex]
- Here, we are given the total earnings (₹3675) and the daily earnings (₹525), and we need to find the number of days.
3. Setting up the equation:
- Let's denote the number of days as [tex]\(d\)[/tex].
- According to the given information, we can set up the equation:
[tex]\[
525d = 3675
\][/tex]
4. Solving for [tex]\(d\)[/tex]:
- To find [tex]\(d\)[/tex], we need to divide both sides of the equation by 525:
[tex]\[
d = \frac{3675}{525}
\][/tex]
5. Perform the division:
- When we divide ₹3675 by ₹525, we get:
[tex]\[
d = 7
\][/tex]
Therefore, a man will earn ₹3675 in 7 days. Hence, the correct answer is [tex]\((c)\)[/tex] 7 days.
