Q40. Mike bought a smartphone, which had MRP of $5650, for a discount of 5% and sold it to Jim for a profit of 16.6%. Jim used it for 2 months and sold the same to his friend at a loss of 33.33%. At what price did Jim sell it?

Ops: A. $3073

B. $4207

C. O$5690

D. $2233

To solve this problem, we need to go through the following steps:

### Step 1: Calculate Mike's Purchase Price
- **MRP of the smartphone** = $5650
- **Discount received by Mike** = 5%

So, Mike's purchase price is:
\[
\text{Mike's Purchase Price} = \text{MRP} - \text{Discount} = 5650 - \left(\frac{5}{100} \times 5650\right)
\]
\[
\text{Mike's Purchase Price} = 5650 - 282.5 = 5367.5
\]

### Step 2: Calculate the Price at Which Mike Sold to Jim
- **Profit made by Mike** = 16.6%

The selling price to Jim is:
\[
\text{Selling Price to Jim} = \text{Mike's Purchase Price} + \text{Profit} = 5367.5 + \left(\frac{16.6}{100} \times 5367.5\right)
\]
\[
\text{Selling Price to Jim} = 5367.5 + 891.005 = 6258.505 \approx 6258.51
\]

### Step 3: Calculate the Price at Which Jim Sold to His Friend
- **Loss incurred by Jim** = 33.33%

The selling price by Jim is:
\[
\text{Selling Price by Jim} = \text{Jim's Purchase Price} - \left(\frac{33.33}{100} \times \text{Jim's Purchase Price}\right)
\]
\[
\text{Selling Price by Jim} = 6258.51 - \left(\frac{33.33}{100} \times 6258.51\right)
\]
\[
\text{Selling Price by Jim} = 6258.51 - 2085.3771 = 4173.1329 \approx 4173.13
\]

### Step 4: Match with the Closest Option
The closest given option to the calculated value is $4207.

### Answer:
The correct answer is $ \boxed{4207} $.

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Would you like further clarification, or do you have any other questions?

**Related Questions:**
1. How do you calculate discounts and markups in sales?
2. What are common percentage errors in calculating profit and loss?
3. How can we apply successive percentage changes in different scenarios?
4. What is the impact of compounding percentages in profit and loss calculations?
5. How does the choice of selling price affect overall profit margins?

**Tip:** Always check if the calculated value closely matches one of the provided options when rounding is involved.

Learn how to calculate profit and loss in a real-world scenario involving smartphone sales. Mike bought a smartphone at a discount and sold it at a profit to Jim, who later sold it at a loss. Follow the step-by-step solution to find out at what price Jim sold the smartphone.

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