Bernard Parry
06/04/2024 · Senior High School
The selling pre (Hint: Let the CP of 1 pen be \( x \). Then CP of 10 pens \( =10 x \) and 11 pens. Find the 10 pens \( =\mathrm{CP} \) Mr Raj sells a TV for \( ₹ 1,500 \) making a profit of \( 25 \% \). Find the CP of TV.
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Tutor-Verified Answer
Step-by-step Solution
To find the cost price (CP) of the TV, we can use the formula for profit:
\[
\text{Selling Price (SP)} = \text{Cost Price (CP)} + \text{Profit}
\]
Given that the selling price (SP) of the TV is ₹1,500 and the profit is 25% of the cost price (CP), we can express the profit as:
\[
\text{Profit} = 25\% \text{ of CP} = \frac{25}{100} \times \text{CP} = 0.25 \times \text{CP}
\]
Now, substituting the profit into the selling price formula:
\[
1500 = \text{CP} + 0.25 \times \text{CP}
\]
This can be simplified to:
\[
1500 = 1 \times \text{CP} + 0.25 \times \text{CP} = 1.25 \times \text{CP}
\]
Now, to find the cost price (CP), we can rearrange the equation:
\[
\text{CP} = \frac{1500}{1.25}
\]
Calculating this gives:
\[
\text{CP} = 1200
\]
Thus, the cost price of the TV is ₹1,200.
Quick Answer
The cost price of the TV is ₹1,200.
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