. The ratio of incomes of two friendsJasmine and Aman is 9: 7 and thet

1.	. The ratio of incomes of two friendsJasmine and Aman is 9: 7 and thetheir expenditures is 4: 3. If each of themsaves 6,000 per month, find theirmonthly incomes. Also, if each of themdonates 2% of her/his income to a charityratio oforking for old age destitutes, find theresulting savings of each. What value iindicated from this action?
Answer» Let income of Jasmine is 9xLet income of Aman is 7x Let expenditure of jasmine is 4yLet expenditure of Aman be 3 y Then,9x - 4y = 6000.... (1)x37x - 3y = 6000.....(2)x4 27x - 12y = 18000.....(3)28x - 12y = 24000.....(4) Subract eq(3) from eq(4)x = 6000 Salary of jasmine = 96000 = 54000Salary of Aman = 76000 = 42000 Put value of x = 6000 in eq(1)54000 - 4y = 60004y = 48000y = 12000 Expenditure of Jasmine = 412000 = 48000Expenditure of Aman = 312000 = 36000 If they donate 2% of incomeThen, saving of Jamine= 54000 - (48000 + 2/10054000) = 54000 - 49080= 4920 savinv of Aman= 48000 - (36000+ 2/10048000) = 48000 - 36960= 11040

. The ratio of incomes of two friendsJasmine and Aman is 9: 7 and thetheir expenditures is 4: 3. If each of themsaves 6,000 per month, find theirmonthly incomes. Also, if each of themdonates 2% of her/his income to a charityratio oforking for old age destitutes, find theresulting savings of each. What value iindicated from this action?

Answer»

Let income of Jasmine is 9xLet income of Aman is 7x

Let expenditure of jasmine is 4yLet expenditure of Aman be 3 y

Then,9x - 4y = 6000.... (1)x37x - 3y = 6000.....(2)x4

27x - 12y = 18000.....(3)28x - 12y = 24000.....(4)

Subract eq(3) from eq(4)x = 6000

Salary of jasmine = 9*6000 = 54000Salary of Aman = 7*6000 = 42000

Put value of x = 6000 in eq(1)54000 - 4y = 60004y = 48000y = 12000

Expenditure of Jasmine = 4*12000 = 48000Expenditure of Aman = 3*12000 = 36000

If they donate 2% of incomeThen, saving of Jamine= 54000 - (48000 + 2/100*54000) = 54000 - 49080= 4920

savinv of Aman= 48000 - (36000+ 2/100*48000) = 48000 - 36960= 11040