Mr Giridhar spends 50% of his monthly income on household items and out of the remaining he spends 50% on transport, 25% on entertainment, 10% on sports and the remaining amount of Rs. 900 is saved. What is Mr Giridhar's monthly income?
Show Hint
- Rs. 6000
- Rs. 12000
- Rs. 9000
- Cannot be determined
The Correct Option is B
Solution and Explanation
Let the monthly income be Rs \(x\).
Household spend \( = 50\% \) of \(x\) \( = 0.5x\), so the remaining amount is also \(0.5x\).
Step 2: Find what fraction of the remaining amount is actually saved.
Out of this remaining \(0.5x\), he spends \(50\%\) on transport, \(25\%\) on entertainment and \(10\%\) on sports, a total of \(50 + 25 + 10 = 85\%\).
So the saved portion is \(100\% - 85\% = 15\%\) of the remaining amount.
Step 3: Form the equation and solve for income.
\(15\%\) of \(0.5x = 0.075x\), and this equals the given savings of Rs 900.
\(0.075x = 900 \Rightarrow x = \dfrac{900}{0.075} = 12000\).
Final Answer:
Mr Giridhar's monthly income is Rs 12000, so option B is correct. \[ \boxed{Rs. \ 12000} \]
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