An agent sells goods worth Rs. \(15{,}000\). The commission he receives at the rate of \(12\frac{1}{2}\%\) is
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- Rs. \(1875\)
- Rs. \(2125\)
- Rs. \(2000\)
- Rs. \(2700\)
The Correct Option is A
Solution and Explanation
The commission rate is \(12\frac{1}{2}\% = 12.5\%\), which as a decimal is \(\frac{12.5}{100} = 0.125\).
Step 2: Apply the rate to the sale value.
Commission \(= 15{,}000 \times \frac{12.5}{100} = 15{,}000 \times \frac{25}{200}\).
Step 3: Simplify the multiplication.
\(15{,}000 \times \frac{25}{200} = \frac{375000}{200} = 1875\).
Step 4: Rule out the other options.
Rs. \(2125\), Rs. \(2000\), and Rs. \(2700\) would need rates of about \(14.2\%\), \(13.3\%\), and \(18\%\) respectively, none of which match the given \(12.5\%\).
Final Answer:
The commission is Rs. \(1875\). \[ \boxed{1875} \]
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