Question

The numbers are respectively 30% and 40% of a third number. what percentage is the first number of the second number?

a) 25%
b) 50%
c) 40%
d) 75%

Answer 1

The first number is 75% of the second number when they represent 30% and 40%, respectively, of a third number.

Step-by-step explanation:

The question asks to determine what percentage the first number is of the second number given that they are respectively 30% and 40% of a third number. To solve this, let's assume the third number is x. This means the first number is 0.30x and the second number is 0.40x.

To find out what percentage the first number (0.30x) is of the second number (0.40x), we would set up a ratio like this:

(First Number / Second Number) × 100%

(0.30x / 0.40x) × 100% = (0.30 / 0.40) × 100% = 0.75 × 100% = 75%

Therefore, the first number is 75% of the second number.