Question

1. A man bought some toffees at the rate of 3 toffees per re. And same number at the rate of 2 toffees per re. He mixes them and sold 3 toffees for rs 2. Find his profit/loss% in the whole transaction. A. 20% loss b. 20% profit c. 60% loss d. 60% profit e. None of these

Answer 1

Let the Number of Toffees bought by the Man be : 12

Given : The Man bought 6 Toffees at the rate of 3 Toffees per One Rupee

⇒ The Man spent 2 Rupees to get 6 Toffees

Given : The Man bought other 6 Toffees at the rate of 2 Toffees per One Rupee

⇒ The Man spent 3 Rupees to get other 6 Toffees

⇒ Total Money spent by the Man on 12 Toffees is : (3 + 2) = 5 Rupees

⇒ Cost Price for 12 Toffees is 5 Rupees

Now, He Mixes all the Toffees and sold 3 Toffees for 2 Rupees

⇒ He sold the 12 Toffees he bought for 8 Rupees

⇒ Selling Price for 12 Toffees is 8 Rupees

It is Clear that, He is in Profit

We know that Profit Percentage is given by :

✿  $Profit\;Percentage = (\frac{Selling\;Price - Cost\;Price}{Cost\;Price}) \times 100$

$\implies Profit\;Percentage = (\frac{8 - 5}{5}) \times 100$

$\implies Profit\;Percentage = (\frac{3}{5}) \times 100\\\\\implies Profit\;Percentage = (3 \times 20) = 60$

So, The Profit Percentage for the Whole Transaction is 60%

Option (d) is the Answer