Institution: Bangladesh Bank Exam: Officer (Cash) -Sonali Bank | BD Development | BD Krishi Bank - 12.10.2018 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, we first need to calculate the amount Kiran received from selling the first scooter. He purchased the scooter for Tk. 52,000 and sold it at a loss of 10%.

1. Calculate the selling price of the first scooter:
\[
\text{Loss} = 10\% \text{ of } 52000 = 0.10 \times 52000 = 5200
\]
\[
\text{Selling price} = 52000 - 5200 = 46800
\]

Kiran received Tk. 46,800 from the sale of the first scooter.

2. Now, Kiran uses this money to purchase a second scooter. He sells this second scooter at a profit of 20%.

Calculate the selling price of the second scooter based on the cost price (which is Tk. 46,800):
\[
\text{Profit} = 20\% \text{ of } 46800 = 0.20 \times 46800 = 9360
\]
\[
\text{Selling price} = 46800 + 9360 = 56160
\]

3. Finally, calculate the overall profit or loss Kiran made:
\[
\text{Overall profit} = \text{Selling price of second scooter} - \text{Cost price of first scooter}
\]
\[
\text{Overall profit} = 56160 - 52000 = 4160
\]

Thus, Kiran made a profit of Tk. 4,160 overall, confirming that the correct answer is option D: Tk. 4,160 profit.