The total of the daily wages of Ram,Shyam and | vedclass

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(A) Let the incomes of Ram,Shyam,and Mohan be $x$,$y$,and $z$ respectively.Ram's saving $= (100 - 25) \% 	ext{ of } x = 75 \% 	ext{ of } x = \frac{3

Vedclass · Accepted Answer

$180$

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(A) Let the incomes of Ram,Shyam,and Mohan be $x$,$y$,and $z$ respectively.Ram's saving $= (100 - 25) \% 	ext{ of } x = 75 \% 	ext{ of } x = \frac{3}{4}x$.Shyam's saving $= (100 - 20) \% 	ext{ of } y = 80 \% 	ext{ of } y = \frac{4}{5}y$.Mohan's saving $= (100 - 50) \% 	ext{ of } z = 50 \% 	ext{ of } z = \frac{1}{2}z$.Given the ratio of savings is $9:8:4$,let their savings be $9k$,$8k$,and $4k$ respectively.Equating the savings:$\frac{3}{4}x = 9k \Rightarrow x = 12k$.$\frac{4}{5}y = 8k \Rightarrow y = 10k$.$\frac{1}{2}z = 4k \Rightarrow z = 8k$.Given the total income is $Rs. 450$:$x + y + z = 450 \Rightarrow 12k + 10k + 8k = 450$.$30k = 450 \Rightarrow k = 15$.Ram's income $= 12k = 12 	imes 15 = Rs. 180$.

The total of the daily wages of Ram,Shyam and Mohan is $Rs. 450$. If they,respectively,spend $25 \%$,$20 \%$ and $50 \%$ of their incomes,then the ratio of their savings becomes $9:8:4$. What is the income of Ram?

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