GIVEN: Total cost of articles A and B = Rs. 5000
Article A is sold at 25% loss and article B is sold at 6% profit and Sam incurred an overall loss of Rs. 165.
CONCEPT: Profit and loss concept.
FORMULA USED: SP = CP ×
[1+] SP = CP ×
[1−] CALCULATION: Suppose the cost prices of articles A and B are ‘x’ and ‘y’ respectively.
(x + y) = 5000 ---(i)
Now,
Selling price of article A = 0.75x
Selling price of article B = 1.06y
According to the question,
(x + y) - (0.75x + 1.06y) = 165
⇒ 0.25x - 0.06y = 165 ---(ii)
From (i) and (ii),
⇒ (0.25x + 0.06x) = 165 + 5000 × 0.06
⇒ 0.31x = 465
⇒ x = 1500
∴ Cost price of articles A = Rs. 1500