Correct Answer - Option 2 : A and C
Given:
CP = Rs. 45000
Value depreciates by 20% in the first year and 15% in subsequent years
Selling price in 3rd year = Rs. n
Formula Used:
Profit% = (Profit /CP) × 100
SP = {(100 + P%)/100} × CP
Loss = CP – SP
Where P → Profit, CP → cost price, SP → selling price.
Price = [(100 – depreciation%)/100] × original price
Calculation:
Price after first year = 80% of 45000
Price after second year = 85% of (80% of 45000)
Price after third year = 85% of (85% of (80% of 45000))
⇒ (85/100) × (85/100) × (80/100) × 45000
⇒ (85/100) × 85 × 8 × 45
⇒ 26010
⇒ n = 26010
The cost price for the customer = Rs. 26010
A. Loss incurred is Rs. 18990
Loss = CP – Price after third year
⇒ 45000 – 26010
⇒ 18990
⇒ A is correct
B. The cost price after first year is Rs. 35000
Price after first year = (80/100) of 45000
⇒ 36000
⇒ B is incorrect
C. n = 26010
⇒ n = Price after third year
⇒ 26010
⇒ C is correct
D. Price after second year = 26020
Price after second year = 85% of 36000
⇒ (85/100) × 36000
⇒ Rs. 30600
⇒ D is incorrect
∴ A and C are correct.