Question

If \( \frac{1}{7.247} = 0.138 \), then the value of \(\frac{1}{0.0007247}\) is:

• A. 10.38
• B. 138
• C. 1380
• D. 13.80

Hint:

Use proportionality to relate the values when dealing with problems involving reciprocals and known values.

Answer 1

The Correct Option is B

We are given that: \[ \frac{1}{7.247} = 0.138 \] We need to find the value of: \[ \frac{1}{0.0007247} \] Notice that the value of 0.0007247 is 10000 times smaller than 7.247. This suggests that the reciprocal of 0.0007247 will be 10000 times larger than the reciprocal of 7.247. Since we know: \[ \frac{1}{7.247} = 0.138 \] Therefore: \[ \frac{1}{0.0007247} = 0.138 \times 10000 = 1380 \] Thus, the value of \( \frac{1}{0.0007247} \) is 1380. Conclusion:
The correct answer is option (C) 1380.