ahe monthly income of Amit & Atul are in the ratio 6:5 .The ratio of t

1.	ahe monthly income of Amit & Atul are in the ratio 6:5 .The ratio of their monthly expenditure is 5:4 . If each of them saves ₹2500 per month .Find their monthly incomes.
Answer» align="ABSMIDDLE" alt="\sf\small\underline\purple{LET:}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%5Csmall%5Cunderline%5Cpurple%7BLet%3A%7D" title="\sf\small\underline\purple{Let:}"> $\tt{\implies Their\: monthly\:_{(income)}=x}$ $\tt{\implies Their\: monthly\:_{(expenditure)}=y}$ $\sf\small\underline\purple{Given:}$ $\tt{\implies Their\: monthly\:_{(income)}=6:5}$ $\tt{\implies Their\: monthly\:_{(expenditure)}=5:4}$ $\tt{\implies Their\: monthly\:_{(savings\: each)}=2500}$ $\sf\small\underline\purple{To\: Find:}$ $\tt{\implies Their\: monthly\:_{(income)}=?}$ $\sf\small\underline\purple{Solution:}$ To calculate the monthly income of Amit and Atul, as per the question we have to set us equation then SOLVE both equation by solving we get the value of x and y then we can easily calculate their income. In question, given that monthly income of Amit & Atul are in the ratio 6:5 .The ratio of their monthly expenditure is 5:4 . If each of them saves ₹2500 per month .Find their monthly INCOMES:-] $\sf\small\green{\implies Amit\:_{(Income)}-Amit\:_{(expenditure)}=Amit\:_{(savings)}}$ $\tt{\implies 6x-5y=2500-----(i)}$ $\sf\small\green{\implies Atul\:_{(Income)}-Atul\:_{(expenditure)}=Atul\:_{(savings)}}$ $\tt{\implies 5x-4y=2500-----(ii)}$ In eq (i) multiplying by 5 and in eq (ii) by 6:-] $\tt{\implies 30x-25y=12500}$ $\tt{\implies 30x-24y=15000}$ By solving we get here:-] $\tt{\implies -y=-2500}$ $\tt{\implies y=2500}$ Putting the value of y in eq (I) $\tt{\implies 6x-5y=2500}$ $\tt{\implies 6x-52500=2500}$ $\tt{\implies 6x-12500=2500}$ $\tt{\implies 6x=2500+12500}$ $\tt{\implies 6x=15000}$ $\tt{\implies x=2500}$ $\sf\large{Hence,}$ $\tt{\implies Monthly\: income\:_{(Amit)}=6x}$ $\tt{\implies Monthly\: income\:_{(Amit)}=62500}$ $\bf{\implies Monthly\: income\:_{(Amit)}=Rs.15000}$ $\tt{\implies Monthly\: income\:_{(Atul)}=5x}$ $\tt{\implies Monthly\: income\:_{(Atul)}=5*2500}$ $\bf{\implies Monthly\: income\:_{(Atul)}=Rs.12500}$

ahe monthly income of Amit & Atul are in the ratio 6:5 .The ratio of their monthly expenditure is 5:4 . If each of them saves ₹2500 per month .Find their monthly incomes.

Answer»

align="ABSMIDDLE" alt="\sf\small\underline\purple{LET:}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%5Csmall%5Cunderline%5Cpurple%7BLet%3A%7D" title="\sf\small\underline\purple{Let:}">

$\tt{\implies Their\: monthly\:_{(income)}=x}$

$\tt{\implies Their\: monthly\:_{(expenditure)}=y}$

$\sf\small\underline\purple{Given:}$

$\tt{\implies Their\: monthly\:_{(income)}=6:5}$

$\tt{\implies Their\: monthly\:_{(expenditure)}=5:4}$

$\tt{\implies Their\: monthly\:_{(savings\: each)}=2500}$

$\sf\small\underline\purple{To\: Find:}$

$\tt{\implies Their\: monthly\:_{(income)}=?}$

$\sf\small\underline\purple{Solution:}$

To calculate the monthly income of Amit and Atul, as per the question we have to set us equation then SOLVE both equation by solving we get the value of x and y then we can easily calculate their income. In question, given that monthly income of Amit & Atul are in the ratio 6:5 .The ratio of their monthly expenditure is 5:4 . If each of them saves ₹2500 per month .Find their monthly INCOMES:-]

$\sf\small\green{\implies Amit\:_{(Income)}-Amit\:_{(expenditure)}=Amit\:_{(savings)}}$