Pooja spent `20%`of the money she had on clothes and `5%` on a pair of slippers. She was left with Rs 1800. How much money did she have in the beginning?

Answer

To solve the problem step by step, we will follow the reasoning provided in the video transcript:

### Step 1: Define the initial amount
Let the amount of money Pooja had in the beginning be \( X \).

### Step 2: Calculate the amounts spent
Pooja spent:
- 20% of \( X \) on clothes, which is \( \frac{20}{100} \times X = 0.2X \).
- 5% of \( X \) on slippers, which is \( \frac{5}{100} \times X = 0.05X \).

### Step 3: Set up the equation
After spending on clothes and slippers, Pooja was left with Rs. 1800. Therefore, we can write the equation:
\[ X - 0.2X - 0.05X = 1800 \]

### Step 4: Simplify the equation
Combine the terms on the left side:
\[ X - 0.2X - 0.05X = 1800 \]
\[ (1 - 0.2 - 0.05)X = 1800 \]
\[ 0.75X = 1800 \]

### Step 5: Solve for \( X \)
To find \( X \), divide both sides by 0.75:
\[ X = \frac{1800}{0.75} \]

### Step 6: Calculate the value of \( X \)
Calculating \( \frac{1800}{0.75} \):
\[ X = 1800 \times \frac{100}{75} = 1800 \times \frac{4}{3} = 2400 \]

### Conclusion
Thus, the amount of money Pooja had in the beginning is Rs. 2400.

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