Correct Answer - Option 3 : Rs. 341.25
Given:
A is sold at 20% profit, B is sold for Rs. 54.60 more than the selling price of A
The overall profit earned on selling A and B is 28%
Formula used:
Profit = Selling price – Cost price
SP = [(100 + profit %)/100 × CP]
Calculation:
Let C.P of A nd B be Rs. x
According to the question:
S.P of A = (x × 120/100) = 6x/5
S.P of B = (6x/5 + 54.60)
Total C.P = Rs. (x + x) = Rs. 2x
Total S.P = (6x/5 + 54.60 + 6x/5)
⇒ (12x/5 + 54.60)
Profit = (12x/5 + 54.60 – 2x)
⇒ 2x/5 + 54.60
Now,
⇒ 28% of 2x = 2x/5 + 54.60
⇒ [(28/100) × 2x] = 2x/5 + 54.60
⇒ [(28/100) × 2x] = [2x/5 + (5460/100)]
⇒ [(28/100) × 2x] = (4x + 546)/10
⇒ 28x = 20x + 2730
⇒ 8x = 2730
⇒ x = 2730/8 = Rs. 341.25
∴The cost price of each article is Rs. 341.25.