Correct Answer - Option 3 : B and C
Given:
CP of orange = O per kg
CP of apple = A per kg
A = O + 50
Profit on orange = 8%
Profit on apple = 13%
Total gain = Rs. 48.5
Formula Used:
Profit = SP – CP
Profit% = (Profit /CP) × 100
SP = {(100 + P%)/100} × CP
Where P is Profit, CP is cost price and SP is selling price.
Calculation:
Profit on orange = (8/100) × O
Profit on apple = (13/100) × A
Overall gain = Rs. 48.5
Profit on orange + Profit on apple = 48.5
⇒ (8/100) × O + (13/100) × A = 48.5
Putting A = O + 50
⇒ (8/100) × O + (13/100) × (O + 50) = 48.5
⇒ 8O + 13O + 650 = 4850
⇒ 21O = 4200
⇒ O = 200
⇒ A = 200 + 50
⇒ A = 250
A. A + O = 500
250 + 200 = 450
⇒ A is incorrect
B. Average price of orange and apple is Rs. 225
(200 + 250)/2 = 450/2
⇒ 225
⇒ B is correct
C. A × O ÷ 100 = 500
250 × 200 ÷ 100 = 250 × 2
⇒ 500
⇒ C is correct
D. A/O = 12.5
250/200 = 1.25
⇒ D is incorrect
∴ B and C are correct.