One-fourth of 80 percent of a number is equal to 3/5 of 30 percent of another number. If difference between the numbers is 400, then what is the value of 25 percent of sum of both the numbers?
Show answer & explanation
Correct answer: C
Explanation
First number = x
Second number = y
1/4 of 80% of x -
= 80/100 × x × 1/4
= x/5
30% of the second number × 3/5
= 30/100 × 3/5
= 9/50
x/5 = 9y/50
10x = 9y
x:y = 9:10
Difference = 1 part = 400
x = 3600
y = 4000
Sum = 7600
25% = 7600 × 25/100
= 1900