In the month of January, Arun's income and expenses were ₹ 15000 and ₹ 9000, respectively. His monthly expenses vary directly as the square of his monthly income. What is his income when it just equals his expenses?

Q: In the month of January, Arun's income and expenses were ₹ 15000 and ₹ 9000, respectively. His monthly expenses vary directly as the square of his monthly income. What is his income when it just equals his expenses?

According to the question Expenses ∞ (income)2 ⇒ 9000 = K (15000 )2 ∴ K = 9000/(15000)2 = 1/25000 Again E = K x 12 ⇒ 1 = K x 12 [∴ exenses = income] ∴ 1 = 1/K = 25000 ∴ Required answer = ₹ 25000

₹ 25000
₹ 2000
₹ 35000
₹ 15000

Correct Answer: ₹ 15000

Explanation:

According to the question
Expenses ∞ (income)²
⇒ 9000 = K (15000 )²
∴ K = 9000/(15000)²
= 1/25000
Again E = K x 1²
⇒ 1 = K x 1² [∴ exenses = income]
∴ 1 = 1/K = 25000
∴ Required answer = ₹ 25000

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