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The ratio of the marked prices of articles A and B is 4:5. A shopkeeper allows a discount of d% on article A and a discount of (d + 18)% on article B, so that the selling prices of both articles become equal. If the shopkeeper makes a profit of 20% on article A and 25% on article B, and the profit on article B is Rs. 384 more than that on article A, then find the cost prices of articles A and B, respectively.

1. 9000 Rs. 8400 Rs
2. 9600 Rs. 9216 Rs
3. 9800 Rs. 9012 Rs
4. 9600 Rs. 8488 Rs

Correct answer: 9600 Rs. 9216 Rs

Solution

Let the cost prices be CP_A and CP_B. Since profits are 20% and 25%, the profits are 0.2CP_A and 0.25CP_B, and their difference is 384. Also, equal selling prices with marked price ratio 4:5 and discounts d% and (d+18)% give a second relation between CP_A and CP_B. Solving the two equations gives CP_A = 9600 and CP_B = 9216.

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