What is the ratio of the total amount invested by Gautam in schemes O and Q together to the total amount invested by Rudra in the same schemes together?

31 : 44

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31 : 42

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27 : 44

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35 : 48

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29 : 38

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Solution

The correct option is A 31 : 44
Required Ratio $= \frac{\frac{32000 \times 40}{100} + \frac{42 \times 64000}{100}}{\frac{32000 \times 60}{100} + \frac{58 \times 64000}{100}}$

$= \frac{320 \times 40 + 42 \times 640}{320 \times 60 + 58 \times 640}$

$= \frac{12800 + 26880}{19200 + 37120} = \frac{39680}{56320}$

$= \frac{3968}{5632} = \frac{31}{44}$ or $31 : 44$

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What is the ratio of the total amount invested by Gautam in schemes O and Q together to the total amount invested by Rudra in the same schemes together?

The correct option is A 31 : 44Required Ratio =32000×40100+42×6400010032000×60100+58×64000100 =320×40+42×640320×60+58×640 =12800+2688019200+37120=3968056320 =39685632=3144 or 31:44