Multiple choice

Ratio between marked price of article A to article B is 4:5. Shopkeeper allowed d% discount on article 'A' and (d + 18) % discount on article 'B', so selling price of both articles become equal If shopkeeper made a profit of 20% on article A and 25% on article B and profit made on article B is Rs. 384 more than that of article A, then find the cost price of article 'A' and article 'B' respectively?

  1. 9600 Rs., 9200 Rs.

  2. 9600 Rs., 9216 Rs.

  3. 9600 Rs., 9126 Rs.

  4. 9600 Rs., 9288 Rs.

  5. 9400 Rs., 9216 Rs.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP of A be 4x and B be 5x. SP_A = 4x(1 - d/100) = 1.2 * CP_A. SP_B = 5x(1 - (d+18)/100) = 1.25 * CP_B. Since SP_A = SP_B, we relate CP_A and CP_B. Using the profit difference (1.25 * CP_B - 1.2 * CP_A = 384), we solve the system to find CP_A = 9600 and CP_B = 9216.

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