One-fourth of 70 percent of a number is equal to 1/5 of 50 percent of another number. If difference between the numbers is 240, then what is the value of 150 percent of sum of both the numbers?
Show answer & explanation
Correct answer: C
Explanation
Let the first number be x and the second number be y.
According to the question,
1/4 of 70% = 1/5 of 50%
7x / 40 = y / 10
7x = 4y
Therefore, the ratio = x : y = 4 : 7
Difference between the numbers = 240
7 - 4 = 3 parts = 240
1 part = 80
First number = 4 × 80 = 320
Second number = 7 × 80 = 560
Sum of both = 320 + 560 = 880
150% of the sum = 880 × 150 / 100
= 1320