Question

Two numbers are less than a third number by 30% and 37%, respectively. How much percent is the second number less than the first?

A. 7%
B. 5%
C. 6.5%
D. 6%

Answer 1

Assuming the third number to be 100, the first and second numbers are 70 and 63, respectively. Calculating the difference as a percentage of the first number, the second is found to be 10% less than the first. This indicates a possible error in the provided options.

Step-by-step explanation:

Let's assume the third number is 100 (since we're dealing with percentages, it's easier to work with 100 as a base). The first number is then 30% less than this, which makes it 70 (100 - 30% of 100). The second number is 37% less than the third number, so it's 63 (100 - 37% of 100).

To find out how much percent the second number is less than the first, we calculate the difference between the first and second numbers (70 - 63 = 7) and then divide that by the first number (7 / 70).

After multiplying by 100 to get the percentage, we see that the second number is 10% less than the first number (7 / 70 = 0.1, and 0.1 * 100 = 10%). Thus, the answer is neither of the options given in the question, suggesting there may be a typo in the question or in the options provided.