Ratio of earnings of A and B is 8 : 9 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 16 : 9 respectively. What are A's earnings?

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BANK PO Exam (RBI) 2008 click here to view all questions

Ratio of earnings of A and B is 8 : 9 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 16 : 9 respectively. What are A's earnings?

ARs. 22000

BRs. 28500

CRs. 37000

DCannot be determine

Nithin ? undefined

Correct answer is: Cannot be determine

Explanation:

Let the earnings of A and B Rs. 8x and Rs. 9x respectively.
Then,

\(\eqalign{ & = \frac{{150\% {\text{ of }}8x}}{{75\% {\text{ of }}9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{\frac{3}{2} \times 8x}}{{\frac{3}{4} \times 9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{16}}{9} = \frac{{16}}{9} \cr} \)

Hence, A's earnings cannot be determined

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Correct answer is: Cannot be determine Explanation: Let the earnings of A and B Rs. 8x and Rs. 9x respectively. Then, \(\eqalign{ & = \frac{{150\% {\text{ of }}8x}}{{75\% {\text{ of }}9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{\frac{3}{2} \times 8x}}{{\frac{3}{4} \times 9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{16}}{9} = \frac{{16}}{9} \cr} \) Hence, A's earnings cannot be determined Nithin ? answered undefined All Comments

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