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From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the numbers ?

A) 5 : 2
B) 1 : 4
C) 4 : 1
D) 4 : 5

Correct Answer:

A) 5 : 2

Description for Correct answer:
Let the smaller number=x and the greater number=y

According to the question,

\( \Large (Y-\frac{X}{2})=4(X-\frac{X}{2}) \)

=> \( \Large Y-\frac{X}{2}=4\frac{X}{2}=>Y=2X+\frac{X}{2}=>Y=\frac{5X}{2} \)

Y:X=5:2

Part of solved Ratio and Proportions questions and answers : >> Aptitude >> Ratio and Proportions

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