Question

The ratio of income of two persons is 5:3 and that of their expenditure is 9:5. find the income of each person, if they save rupees 1300 and 900 respectively.

Answer 1

Income ratio = 5:3== 5X , 3X
Expenditure ratio = 9:5== 9Y , 5Y
Savings of 1st person = 1300
Savings of 2nd person = 900
Income - expense = savings
5X - 9Y = 1300....(i)
3X - 5Y = 900....(ii)
(i)*5== 25X - 45Y = 6500...(iii)
(ii)*9== 27X - 45Y = 8100...(iv)
(iv) - (iii)
2X = 1600
X = 800
Income of 1st person = 5X = Rs. 4000
Income of 2nd perso = 3X = Rs.2400
Hope it helps.

Answer 2

Answer:

just change the numbers

Step-by-step explanation:

Let the incomes of the two persons be 5x and 3x

and

their expenditures be 9y and 5y respectively.

Then,

= 5x - 9y = 2600.....(i)

= 3x - 5y = 1800.....(ii)

Multiplying (i) by 3 and (ii) by 5, we get:

= 15x - 27y = 7800.....(iii)

= 15x - 25y = 9000.....(iv)

Subtracting (iii) from (iv), we get : 2y = 1200 or y = 600

Putting y = 600 in (i), we get : 5x = 8000 or x = 1600.

∴ Their incomes are Rs. (5 × 1600) and Rs. (3 × 1600)i.e.

Rs. 8000 and Rs. 4800 respectively