`12%` of a sum of money is Rs 42. What is `20%` of the same sum?

Answer

To solve the problem step by step, let's break it down:

### Step 1: Define the variable
Let the sum of money be represented by \( X \).

### Step 2: Set up the equation based on the given information
According to the question, 12% of \( X \) is equal to Rs 42. We can write this as:
\[ \frac{12}{100} \times X = 42 \]

### Step 3: Solve for \( X \)
To find \( X \), we can rearrange the equation:
\[ X = 42 \times \frac{100}{12} \]

### Step 4: Simplify the calculation
Now, we can simplify \( \frac{100}{12} \):
\[ \frac{100}{12} = \frac{25}{3} \quad \text{(by dividing both numerator and denominator by 4)} \]
Thus,
\[ X = 42 \times \frac{25}{3} \]

### Step 5: Calculate \( X \)
Now, we can perform the multiplication:
\[ X = \frac{42 \times 25}{3} = \frac{1050}{3} = 350 \]
So, the sum of money \( X \) is Rs 350.

### Step 6: Find 20% of the sum
Now we need to calculate 20% of Rs 350:
\[ 20\% \text{ of } 350 = \frac{20}{100} \times 350 \]

### Step 7: Simplify the calculation
This simplifies to:
\[ = \frac{1}{5} \times 350 = 70 \]

### Final Answer
Thus, 20% of the same sum is Rs 70.

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