Home
Class 14
MATHS
The cost price of a radio is ₹ 600.5% of...

The cost price of a radio is ₹ 600.5% of the cost price is charged towards transportation. After adding that, if the net profit to be made is `15%`, then the selling price of the radio must be

A

₹ 684.50

B

₹ 704 .50

C

₹ 724.50

D

₹ 664.50

Text Solution

AI Generated Solution

The correct Answer is:
To find the selling price of the radio, we will follow these steps: ### Step 1: Calculate the Transportation Cost The cost price (CP) of the radio is ₹600. We need to calculate 5% of this cost price for transportation. \[ \text{Transportation Cost} = 5\% \text{ of CP} = \frac{5}{100} \times 600 = 30 \] ### Step 2: Calculate the Total Cost Price Now, we will add the transportation cost to the original cost price to find the total cost price. \[ \text{Total Cost Price} = \text{CP} + \text{Transportation Cost} = 600 + 30 = 630 \] ### Step 3: Calculate the Desired Profit Next, we need to calculate the profit that we want to make, which is 15% of the total cost price. \[ \text{Profit} = 15\% \text{ of Total Cost Price} = \frac{15}{100} \times 630 = 94.5 \] ### Step 4: Calculate the Selling Price Finally, we will find the selling price (SP) by adding the profit to the total cost price. \[ \text{Selling Price} = \text{Total Cost Price} + \text{Profit} = 630 + 94.5 = 724.5 \] ### Conclusion The selling price of the radio must be ₹724.5. ---
Promotional Banner