A, B and C invest in the ratio of 3 : 4 : 5. The percentage of return on their investments are in the ratio of 6 : 5: 4. Find the total earnings, if B earns Rs. 250 more than A :

Rs. 6000

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Rs. 7250

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Rs. 5000

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None of these

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Solution

The correct option is A Rs. 7250
$\begin{matrix} A & B & C I n v e s t m e n t & 3 x & 4 x & 5 x R a t e o f r e t u r n & 6 y % & 5 y % & 4 y % R e t u r n & \frac{18 x y}{10} & \frac{20 x y}{10} & \frac{20 x y}{10} T o t a l = (18 + 20 + 20) = \frac{58 x y}{100} B^{'} s e a r n i n g s - A^{'} s e a r n i n g s = & \frac{2 x y}{100} = 250 T o t a l e a r n i n g = \frac{58 x y}{100} = 7250 \end{matrix}$

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The correct option is A Rs. 7250 ABCInvestment3x4x5xRate of return6y%5y%4y%Return18xy1020xy1020xy10 Total=(18+20+20)=58xy100 B′s earnings−A′s earnings=2xy100=250 Total earning=58xy100=7250