Final answer:
Jane was supposed to sell her radio for sh. 1200 with a 20% profit, but instead sold it with a 10% loss. Calculating her cost price first, we determine she actually sold the radio for sh. 900.
Step-by-step explanation:
Jane was supposed to sell her radio making a 20% profit at a selling price of sh. 1200. To find the original cost price, we divide the supposed selling price by 1 plus the profit percentage (in decimal form).
The cost price (CP) is calculated as follows:
CP = Selling Price / (1 + Profit%)
CP = sh. 1200 / (1 + 0.20)
CP = sh. 1200 / 1.20
CP = sh. 1000
Now, since Jane made a loss of 10%, we need to find the actual selling price (SP) she sold it for. This is done by multiplying the cost price by 1 minus the loss percentage (in decimal form).
SP = CP × (1 - Loss%)
SP = sh. 1000 × (1 - 0.10)
SP = sh. 1000 × 0.90
SP = sh. 900
Hence, the selling price at which Jane sold her radio, making a loss of 10%, is sh. 900.