Pocket Money Calculation
This problem involves calculating the total pocket money based on a portion spent.
Given Information
- Amount spent on shoes: \(₹ 150\)
- Amount spent on watch: \(₹ 75\)
- The total amount spent represents \(\frac{3}{4}\) of the total pocket money.
Steps to Solve
- Calculate the total amount Amit spent.
- Set up an equation where the total spent amount equals \(\frac{3}{4}\) of the total pocket money.
- Solve the equation to find the total pocket money.
Calculations
Step 1: Find the total amount spent
Total Spent = Amount on shoes + Amount on watch
Total Spent = \(₹ 150 + ₹ 75 = ₹ 225\)
Step 2: Set up the equation
Let '\(P\)' represent the total pocket money Amit received.
According to the problem, the total amount spent is \(\frac{3}{4}\) of the total pocket money:
\(₹ 225 = \frac{3}{4} \times P\)
Step 3: Solve for Total Pocket Money (\(P\))
To find '\(P\)', rearrange the equation:
\(P = ₹ 225 \times \frac{4}{3}\)
\(P = \frac{₹ 225 \times 4}{3}\)
\(P = \frac{₹ 900}{3}\)
\(P = ₹ 300\)
Conclusion
Amit received \(₹ 300\) as pocket money.
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