The ratio of incomes of two friends Jasmine and Aman is 9:7 and the ratio of their
exr» enditures is 4:3. If each of them saves {6,000 per month, md their monthly
incomes. Also, if ach of them donates 2% of herms income to a charity working for
old age destitutes, find the resulting savings of each. WHat value is indicated hom
this action?
Answers
Monthly income of Jasmine is Rs. 54000 and Aman is Rs. 42000 .
If Jasmine and Aman donates 2% of their income to a charity working for old age destitute, then the resulting savings of each is Rs. 4920 and Rs. 11040 respectively.
Step-by-step explanation:
Step 1:
The ratio of incomes of Jasmine and Aman is given as 9 : 7
Let’s assume,
Jasmin’s income be “9x” and Aman’s income be “7y”.
Also, the ratio of expenditure of Jasmine and Aman is given as 4:3
Let’s assume,
Jasmine’s expenditure be “4x” and Aman’s expenditure be “3y”.
Monthly saving’s of each of them = Rs. 6000
Therefore, we can write the eq. as,
9x - 4y = 6000 .... (i)
7x - 3y = 6000 ..... (ii)
Step 2:
Now, multiplying eq. (i) by 3 and eq. (ii) by 4 and then subtracting both the equations, we get
28x - 12y = 24000
27x - 12y = 18000
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x = 6000
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Substituting the value of x in (i), we get
9*6000 – 4y = 6000
⇒ 4y = 54000 – 6000
⇒ y = 48000/4
⇒ y = Rs. 12000
Therefore,
Income of Jasmine = 9x = 9 * 6000 = Rs. 54000
Income of Aman = 7x = 7*6000 = Rs. 42000
And
Expenditure of Jasmine = 4y = 4*12000 = Rs. 48000
Expenditure of Aman = 3y = 3 * 12000 = Rs. 36000
Step 3:
It is given that both of them donate 2% of their income to the old age destitute.
Then, we have
The resulting saving of Jasmine as,
= 54000 – [48000 + (2/100*54000)]
= 54000 - 49080
= Rs. 4920
and
The resulting saving of Aman as,
= 48000 - (36000+ 2/100*48000)
= 48000 - 36960
= Rs. 11040
From this action it can be concluded that even after donating the resulting saving of Aman is (11040 - 4920 =) Rs. 6120 more than that of Jasmine's.
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