Ratio between marked price of article A to article B is 4 : 5. Shopkeeper…

2018

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?

Answer: B. 9600 Rs. 9216 Rs.Let the marked prices of A and B be 4m and 5m. Equal selling prices give 4m(1 - d/100) = 5m(1 - (d+18)/100), so d = 10. Then common SP = 3.6m. CP of A =…

  1. A.

    9000 Rs. 8400 Rs

  2. B.

    9600 Rs. 9216 Rs.

  3. C.

    9800 Rs. 9012 Rs.

  4. D.

    9600 Rs. 8488 Rs.

  5. E.

    9200 Rs. 9216 Rs.

Attempted by 5 students.

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Correct answer: B

Let the marked prices of A and B be 4m and 5m. Equal selling prices give 4m(1 - d/100) = 5m(1 - (d+18)/100), so d = 10. Then common SP = 3.6m. CP of A = 3.6m/1.20 = 3m and CP of B = 3.6m/1.25 = 2.88m. Profit difference = 0.12m = 384, so m = 3200. Hence CPs are Rs. 9600 and Rs. 9216.

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