Question

Sohan saves 14% of his salary while George saves 22% of his salary. If both get the same salary and George saves Rs. 1540, then saving of Sohan is:

• A. Rs. 950
• B. Rs. 980
• C. Rs. 940
• D. Rs. 900

Hint:

To calculate percentage-based savings, use the formula: \[ \text{Savings} = \frac{\text{Percentage}}{100} \times \text{Salary} \] Rearrange to find unknown values.

Answer 1

The Correct Option is B

Let \( S \) be the salary of both Sohan and George. - Sohan saves 14% of \( S \): \[ \text{Sohan's Savings} = \frac{14}{100} \times S \] - George saves **22%** of \( S \): \[ \text{George's Savings} = \frac{22}{100} \times S \] Since George's savings is Rs. 1540, we solve: \[ \frac{22}{100} \times S = 1540 \] \[ S = \frac{1540 \times 100}{22} = 7000 \] Now, calculating Sohan's Savings: \[ \text{Sohan's Savings} = \frac{14}{100} \times 7000 \] \[ = 980 \]
Thus, the correct answer is Rs. 980.