The sum of the two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 200.
Let the greater number be x and the smaller number be y
x + y = 450 .....(1)
Also, 0.96x = 1.20y .....(2)
⇒ x = (1.20y)/0.96 = (5y)/4
Substitute this expression for x into equation (1)
(5y)/4 + y = 450
⇒ 9y/4 = 450
⇒ y = 1800/9 = 200