Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

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INSURANCE EXAMS (LIC) 2008 click here to view all questions

Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

A18

B32

C24

D Cannot be determined

Nithin ? undefined

Correct answre is:  Cannot be determined

Explanation:

Let the numbers be x and y respectively . Then,

\(\Large \frac{3}{4}x = \text{= 60% of y}\)

\(= \Large \frac{3}{4}x = \frac{60}{100}y \implies \frac{3}{4}x = \frac{3}{5}y\)

\(=\Large y = \frac{3}{4} \times \frac{5}{3}x = \frac{5}{4}x\)

\(\therefore \Large y - x = \frac{5}{4}x-x = \frac{x}{4}\)

Clearly, no unique answer is possible.

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Correct answre is:  Cannot be determined Explanation: Let the numbers be x and y respectively . Then, \(\Large \frac{3}{4}x = \text{= 60% of y}\) \(= \Large \frac{3}{4}x = \frac{60}{100}y \implies \frac{3}{4}x = \frac{3}{5}y\) \(=\Large y = \frac{3}{4} \times \frac{5}{3}x = \frac{5}{4}x\) \(\therefore \Large y - x = \frac{5}{4}x-x = \frac{x}{4}\) Clearly, no unique answer is possible. Nithin ? answered undefined All Comments

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