Question

The ratio between two numbers is 6 : 5. If 30% of the first number is 12, what would be 60% of the second number?

• A. 12
• B. 15
• C. 18
• D. 20
• E. 23

Answer 1

The Correct Option is D

The correct answer is option (D):

20

Here's how to solve this problem step-by-step:

1. **Find the first number:** We know that 30% of the first number is 12. To find the whole number, we can set up the equation: 0.30 * (first number) = 12. Dividing both sides by 0.30, we get (first number) = 12 / 0.30 = 40.

2. **Find the second number:** The ratio of the first number to the second number is 6:5. This means for every 6 parts of the first number, the second number has 5 parts. Since the first number is 40, and it represents 6 parts of the ratio, we can find the value of one "part": 40 / 6 = 20/3. To find the second number which is represented by 5 parts, multiply the value of 1 part to 5: 5 * (20/3) = 100/3

3. **Calculate 60% of the second number:** We know the second number is 100/3. To find 60% of it, we calculate: 0.60 * (100/3) = 60/3 * 10/10 = 20.

Therefore, 60% of the second number is 20.