The number which bears the same ratio to (7/43) that (9/22) does to (5/11) is

Question

The number which bears the same ratio to (7/43) that (9/22) does to (5/11) is

1. A. 61/430
2. B. 63/430 (Correct answer)
3. C. 63/431
4. D. 61/431

Correct Answer

Option B — 63/430

Detailed Solution & Explanation

The correct answer is 63/430.

Key Points

• We need a number x such that: x : (7/43) = (9/22) : (5/11).
• This means x/(7/43) = (9/22)/(5/11).
• Solving the right side: (9/22) divided by (5/11) = (9/22) x (11/5) = 99/110 = 9/10. So x = (7/43) x (9/10) = 63/430.
• Verification: 63/430 divided by 7/43 = (63/430) x (43/7) = 9/10, which equals (9/22)/(5/11).
• Confirmed: answer is 63/430.