A sum of Rs.221 is divided among X, Y and Z such that X gets Rs.52 more than Y, Y gets Rs.26 more than Z. The ratio of the shares of X, Y and Z respectively is:

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BANK PO Exam (Indian Overseas Bank) 2013 click here to view all questions

A sum of Rs.221 is divided among X, Y and Z such that X gets Rs.52 more than Y, Y gets Rs.26 more than Z. The ratio of the shares of X, Y and Z respectively is:

A9 : 5 : 3

B9 : 3 : 5

C5 : 9 : 3

D10 : 6 : 5

Nithin ? undefined

Correct answer is: 9 : 5 : 3

Explanation:

x = y + 52

z = y - 26

Therefore, x + y + z = 221

=> y + 52 + y + y - 26 = 221

=> 3y = 221 - 26 =195

\(=> y = \frac{195}{3} = 65\)

Therefore, x = 65 + 52 = 117

z = 65 - 26 = 39
x : y : z = 117 : 65 : 39

= 9 : 5 : 3

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Correct answer is: 9 : 5 : 3 Explanation: x = y + 52 z = y - 26 Therefore, x + y + z = 221 => y + 52 + y + y - 26 = 221 => 3y = 221 - 26 =195 \(=> y = \frac{195}{3} = 65\) Therefore, x = 65 + 52 = 117 z = 65 - 26 = 39 x : y : z = 117 : 65 : 39 = 9 : 5 : 3 Nithin ? answered undefined All Comments

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