
We are given:
A invests some amount (let’s say ₹x) at the beginning
B invests double the amount = ₹2x after 6 months
C invests triple the amount = ₹3x after 8 months
Total annual profit = ₹27,000
We are to find C’s share in the profit
Let’s solve step-by-step using the concept of investment × time.
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🟢 Step 1: Calculate the effective capital contribution (investment × time)
A: ₹x for 12 months ⇒ x × 12 = 12x
B: ₹2x for 6 months ⇒ 2x × 6 = 12x
C: ₹3x for 4 months (since 12 − 8 = 4 months) ⇒ 3x × 4 = 12x
So the ratio of their capital contributions is:
A : B : C = 12x : 12x : 12x = 1 : 1 : 1
That means profit is shared equally among A, B, and C.
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🟢 Step 2: Divide the total profit
Total profit = ₹27,000
Each partner gets 1/3rd:
C’s share=13×27000=₹9000\text{C’s share} = \frac{1}{3} × 27000 = ₹9000
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✅ Final Answer:
C’s share of the profit is ₹9,000.
Interpreting and comparing data across different time periods or categories helps you spot patterns, measure progress, and make informed decisions. It allows you to see what has changed, what stayed the same, and what might need attention.
Whether you’re comparing sales by month, customer feedback by product, or website traffic by country — the goal is to understand how performance or behavior differs over time or between groups.
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🔍 How to Interpret Data Over Time:
1. Look for Trends
Is the data increasing, decreasing, or staying flat over time?
Example: Are your monthly sales growing quarter by quarter?
2. Compare Periods
Compare the same data from different time frames:
This year vs. last year, or before vs. after a marketing campaign.
3. Use Averages and Percent Changes
Instead of just raw numbers, calculate averages, growth rates, and percentage differences for better understanding.
4. Visualize with Charts
Use line charts, bar graphs, or area charts to clearly show how things have changed over time.
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🔍 How to Compare Data by Categories:
1. Group the Data
Organize your data by categories such as location, department, product, or customer type.
2. Use Side-by-Side Comparisons
Bar charts, grouped tables, or dashboards make it easier to compare categories at a glance.
3. Look for Outliers or Top Performers
Which category performed the best? Which underperformed?
4. Ask “Why?”
After identifying the differences, try to understand the reason behind them.
Let’s say you’re comparing monthly website traffic between January and June:
January: 10,000 visits
June: 15,000 visits
This shows a 50% increase in traffic over six months — a clear upward trend. Now compare mobile vs. desktop traffic in June:
Mobile: 9,000 visits
Desktop: 6,000 visits
From this, you can conclude that most users are accessing your site from mobile devices.