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Properties of Measures of Central Tendency

Among four gi...

Question

Among four given numbers, the first number is twice the second, the second number is 33.33% of the third and the fourth is 20% of the third. The average of the numbers is 49.50. Which is the largest of the given numbers?

A

18

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B

30

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C

60

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D

50

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E

None of these

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Solution

The correct option is E None of these
Let the fourth number be $x$ .
Then, third number = $5 x$ , second number = $\frac{5 x}{3}$ and first number = $\frac{10 x}{3}$ .
$\to x + 5 x + \frac{5 x}{3} + \frac{10 x}{3} = 48.50 \times 4$
$x = 18$
$∴$ The numbers are 18, 90, 30, 60.

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