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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 ?
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- ₹ 25000
- ₹ 2000
- ₹ 35000
- ₹ 15000
Correct Option: D
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