Problem - Total monthly income of two persons is Rs.7500. They spend 90% and 80% of their incomes?
... respectively. If the ratio of their monthly savings is 3:4, what are their monthly incomes? or:... respectively. If the ratio of their monthly s
... respectively. If the ratio of their monthly savings is 3:4, what are their monthly incomes?
or:... respectively. If the ratio of their monthly savings is 3:4, what are their monthly incomes?
or:Probably about 3700 a piece respectfully
or:\"Total monthly income of two persons is Rs.7500.\" I like persons to have names. Let's call them Alice and Bob and define:a := Alice's monthly income, andb := Bob's monthly income.Now we can express the first sentence by the equation:1) a + b = 7500.Next we are told that they spend 90% and 80% of their incomes respectively. The ratio of their monthly savings is 3:4.Alice spends 90%, so she saves 10%. That's 0.1a monthly savings.Bob spends 80%, so he saves 20%. That's 0.2b monthly savings.Now we can express this information by the equation:0.1a / 0.2b = 3/4 ;; the next couple steps make this equation nice and handya / 2b = 0.75a = 1.5band we arrive at the second equation [eq.], to complete the system of two linear equations:2) a - 1.5b = 0Subtract eq. 2) from eq. 1) and you get:3) a - a + b - (-1.5b) = 7500 - 02.5b = 7500b = 3000Insert b into eq. 1) to determine a :a + 3000 = 7500a = 4500So, finally, we know thatAlice's monthly income is Rs. 4500, and Bob's monthly income is Rs. 3000.
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