The ratio of Mr. Arnav's monthly income to expenditure is 5:4,. For Mr. Suhas the same figure is 3:2. also, 4% of Suhas monthly income is equal to 7% of Arnav's monthly income. if Arnav's monthly expenditure is 96,000 rupees
(i) Find Suhas's annual income.
(ii) Saving made by Mr. Arnav and Mr. Suhas
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Answers
Answer:-
Let the monthly income & expenditure of Arnav be Rs. 5x & Rs. 4x.
And, Let the monthly income & expenditure of Suhas be Rs. 3y and Rs. 2y.
Given:-
Arnav's monthly expenditure = Rs. 96,000
⟹ 4x = 96000.
⟹ x = 96000/4
⟹ x = 24000
Hence,
- Arnav's monthly income = 5x = 5 * 24000 = Rs. 1,20,000.
Also given that,
4% of Suhas monthly income = 7% of Arnav's monthly income.
⟹ (4/100) * 3y = (7/100) * 1,20,000
⟹ 4* 3y = 7 * 1,20,000
⟹ 12y = 8,40,000
⟹ y = 840000/12
⟹ y = 70000
Hence,
- Monthly income of Suhas = 3y = 3 * 70000 = Rs. 2,10,000
- Monthly Expenditure of Suhas = 2y = 2 * 70000 = Rs. 1,40,000.
Now,
We have to find the annual income of Suhas i.e., total income for 12 months.
So,
- Annual income of Suhas = 12 * 2,10,000 = Rs. 25,20,000.
Also,
We know,
Savings = Income - Expenditure
⟹ Monthly Savings of Arnav = 1,20,000 - 96,000 = Rs. 24,000
⟹ Monthly Savings of Suhas = 2,10,000 - 1,40,000 = Rs. 70,000
∴
- Suhas's annual income = Rs. 25,20,000
- Monthly Savings of Arnav = Rs. 24,000
- Monthly Savings of Suhas = Rs. 70,000
Aman's annual income is 210,000 rupee.
Anil's saving is 24,000
Aman's saving is 70,000
Step-by-step explanation:
Since, The ratio of Mr. Anil's monthly income to expenditure is 5:4,
Let Anil's monthly income = 5x and his expenditure = 4x
Where x is any number.
Similarly, Let Aman's monthly income = 3y and expenditure = 2y
Where y is any number.
According to the question,
4% of 3y = 7% of 5x
12 y = 35x
Anil's monthly expenditure = 96,000 rupees
That is, 4 x = 96,000
x = 24,000
⇒ 12 y = 35 × 24000
⇒ y = 70,000
Thus, Aman's annual income = 3 × 70,000 = 210,000 rupee.
Anil's saving = 5x - 4x = x = 24,000
Aman's saving = 3y - 2y = y = 70,000