What sum of money will yield …

To calculate the sum of money (principal) that yields a simple interest of ₹270 over 2(1/4) years at an interest rate of 1(1/2) percent per annum, you can use the formula: \[ \text{Simple Interest} = \frac{P \times R \times T}{100} \] Where: - \( P \) is the principal (the sum of money) - \( R \) is the rate of interest per annum - \( T \) is the time in years Given: - Simple Interest (\( SI \)) = ₹270 - Time (\( T \)) = 2(1/4) years = 2.25 years - Rate of Interest (\( R \)) = 1(1/2)% = 1.5% Now, plug the values into the formula: \[ 270 = \frac{P \times 1.5 \times 2.25}{100} \] To find \( P \), first, calculate \( P \times 1.5 \times 2.25 \) and then divide both sides by \( 1.5 \times 2.25 \). \[ P \times 1.5 \times 2.25 = 270 \times 100 \] \[ P = \frac{270 \times 100}{1.5 \times 2.25} \] \[ P = \frac{27000}{3.375} \] \[ P = 8000 \] So, the principal (sum of money) is ₹8000.

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