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The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.?
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The annual income of A, B and C taken together is rs 1800. They spend ...
Solution:
Given, the annual income of A, B, and C = Rs 1800
Let the annual income of A, B, and C be A, B, and C respectively.
Total income = A + B + C = 1800
Spending of A = 75% of A = 0.75A
Spending of B = 85% of B = 0.85B
Spending of C = 80% of C = 0.8C
Total savings of A, B, and C = Total income - Total expenditure
Savings of A = A - 0.75A = 0.25A
Savings of B = B - 0.85B = 0.15B
Savings of C = C - 0.8C = 0.2C
Given, the ratio of their savings = 20:9:8
Let the savings of A, B, and C be 20x, 9x, and 8x respectively.
Then, we have
0.25A = 20x
0.15B = 9x
0.2C = 8x
A = (20x)/0.25 = 80x
B = (9x)/0.15 = 60x
C = (8x)/0.2 = 40x
Total savings of A, B, and C = 20x + 9x + 8x = 37x
So, 37x = Total income - Total expenditure
37x = 1800 - (0.75A + 0.85B + 0.8C)
Substituting A, B, and C, we get
37x = 1800 - (0.75*80x + 0.85*60x + 0.8*40x)
37x = 1800 - 139x
176x = 1800
x = 10
Therefore, Savings of A = 20x = Rs 200
Savings of B = 9x = Rs 90
Savings of C = 8x = Rs 80
Hence, the annual savings of A, B, and C are Rs 200, Rs 90, and Rs 80 respectively.
Given, the annual income of A, B, and C = Rs 1800
Let the annual income of A, B, and C be A, B, and C respectively.
Total income = A + B + C = 1800
Spending of A = 75% of A = 0.75A
Spending of B = 85% of B = 0.85B
Spending of C = 80% of C = 0.8C
Total savings of A, B, and C = Total income - Total expenditure
Savings of A = A - 0.75A = 0.25A
Savings of B = B - 0.85B = 0.15B
Savings of C = C - 0.8C = 0.2C
Given, the ratio of their savings = 20:9:8
Let the savings of A, B, and C be 20x, 9x, and 8x respectively.
Then, we have
0.25A = 20x
0.15B = 9x
0.2C = 8x
A = (20x)/0.25 = 80x
B = (9x)/0.15 = 60x
C = (8x)/0.2 = 40x
Total savings of A, B, and C = 20x + 9x + 8x = 37x
So, 37x = Total income - Total expenditure
37x = 1800 - (0.75A + 0.85B + 0.8C)
Substituting A, B, and C, we get
37x = 1800 - (0.75*80x + 0.85*60x + 0.8*40x)
37x = 1800 - 139x
176x = 1800
x = 10
Therefore, Savings of A = 20x = Rs 200
Savings of B = 9x = Rs 90
Savings of C = 8x = Rs 80
Hence, the annual savings of A, B, and C are Rs 200, Rs 90, and Rs 80 respectively.
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The annual income of A, B and C taken together is rs 1800. They spend ...
Sandeep,anudeep,vamsee are partners sharing profits in the ratio 5:2:3 according to the partnership deed Vamsi is too got a minimum of Rs. 10000 as his profit every year.the profit for the year 2019 amounted to 50000 rupees prepared profit and loss appropriation account.
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The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.?
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The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.?.
The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The annual income of A, B and C taken together is rs 1800. They spend 75%, 85% and 80% respectively of their incomes. If their annual saving are in the ratio of 20:9:8, find the annual saving of each.?.
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