The ratio of incomes of two persons A and B is 3 : 4 and the ratio of their expenditures is 5 : 7. If their savings are ₹ 15,000 annually find their annual incomes. What value will be promoted if expenditure is under control?
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Given ratio of incomes= 3:4
Ratio of their expenditures= 5:7
Saving money of each person annually= ₹ 15000
Let incomes of two persons be 3x and 4x and the expenditures be 5y and 7y.
ATQ
3x - 5y = 15000……………(1)
4x - 7y= 15000…………….(2)
Multiplying equation 1 by 7 and equation 2 by 5,
21x - 35y = 105000………(3)
20x - 35y = 75000…………(4)
On subtracting equation 4 from eq 3,
21x - 20 x = 105000 - 75000
x = 30000
On putting x = 30000 in eq 1,
3x - 5y = 15000
3(30000) - 5y = 15000
90000 -5y = 15000
-5y = 15000 - 90000
-5y = -75000
y = 75000/5 = 15000
y = 15000
Hence, annual income of both persons are
3(30000)= ₹ 90000 & 4(15000)= ₹ 120000.
ii) Saving attitude and economic value.
HOPE THIS WILL HELP YOU...
Ratio of their expenditures= 5:7
Saving money of each person annually= ₹ 15000
Let incomes of two persons be 3x and 4x and the expenditures be 5y and 7y.
ATQ
3x - 5y = 15000……………(1)
4x - 7y= 15000…………….(2)
Multiplying equation 1 by 7 and equation 2 by 5,
21x - 35y = 105000………(3)
20x - 35y = 75000…………(4)
On subtracting equation 4 from eq 3,
21x - 20 x = 105000 - 75000
x = 30000
On putting x = 30000 in eq 1,
3x - 5y = 15000
3(30000) - 5y = 15000
90000 -5y = 15000
-5y = 15000 - 90000
-5y = -75000
y = 75000/5 = 15000
y = 15000
Hence, annual income of both persons are
3(30000)= ₹ 90000 & 4(15000)= ₹ 120000.
ii) Saving attitude and economic value.
HOPE THIS WILL HELP YOU...
Deepakverma29:
eqution k between subtract ka sing kyu lga
3x-5x=1590
saving = income - expenditure
thx jii
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