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Wednesday, August 17, 2022

Income of two companies A and B are in the ratio of 5 : 8. Had the income of company 'A' been more by Rs.25 lakhs, the ratio of their income would have been 5 : 4 respectively. What is the income of company 'B'?

Income of two companies A and B are in the ratio of 5 : 8. Had the income of company 'A' been more by Rs.25 lakhs, the ratio of their income would have been 5 : 4 respectively. What is the income of company 'B'?
ARs.80 lakhs
BRs.50 lakhs
CRs.40 lakhs
DRs.60 lakhs

Correct answer is: Rs.40 lakhs

Explanation:

A : B = 5 : 8
Let A's income be 5x and B's income be 8x.
According to question.

\(\Large \frac{5x+25}{8x}=\frac{5}{4}\)

\(\frac{5 \left(x+5\right) }{4 \times 2x}=\frac{5}{4} => \frac{x+5}{2x} = 1\)

x + 5 = 2x
x = 5

\(\text{B's Income} = 8x = 8×5\)

= Rs.40 lakhs.

Nithin
answered undefined

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