​The cost price of article B is Rs. 200 more than that of article A. Article A sold at 20% profit and article B sold at 20% loss. If total selling price of A and B together is Rs. 760, then find the cost price of the article A (in Rs.)?

Correct option is D

Information Given:

C.P. of article B is Rs. 200 more than A.

Article A sold at 20% profit.

Article B sold at 20% loss.

Total S.P. of both = Rs. 760.

Concept/Formula Used:

Let C.P. of A = x, so C.P. of B = x + 200.

S.P. of A = x + 20% of x = 1.2x.

S.P. of B = (x + 200) - 20% of (x + 200) = 0.8(x + 200).

Total S.P. = 1.2x + 0.8(x + 200) = 760.

Explanation:

Write total S.P. equation:

1.2x + 0.8(x + 200) = 760

1.2x + 0.8x + 160 = 760

2x + 160 = 760

2x = 760 - 160 = 600

x = 600/2 = 300

So, C.P. of article A = Rs. 300