An agent sells goods worth Rs. $15{,}000$. The commission he receives at the rate of $12\frac{1}{2}\%$ is

Question

A bought a phone from a store and paid $\frac{1}{6}$ of the price using UPI, $\frac{1}{3}$ of the price in cash, and the remaining balance a year later. He also paid 10% interest on the remaining balance after one year. What was the original price of the phone?

Answer 1

Step 1: Turn the percent into a simple fraction.
$12\frac{1}{2}\% = \frac{25}{2}\%$, and dividing by $100$ gives $\frac{25}{200} = \frac{1}{8}$. So the commission rate is just $\frac{1}{8}$ of the sale value.

Step 2: Multiply the sale value by this fraction.
Commission $= 15{,}000 \times \frac{1}{8}$.

Step 3: Divide to get the answer.
$15{,}000 \div 8 = 1875$.

Step 4: Sanity check.
Since $\frac{1}{8}$ is a bit more than $10\%$ (which would be $1500$), an answer just above $1500$, namely $1875$, feels right in scale.

Final Answer:
The commission comes out the same way. \[ \boxed{1875} \]

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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The Correct Option is A

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