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    Question

    A merchant sold four types of products P, Q, R, and S.

    He sold products P and Q in the ratio of 3:4, while he sold products R and P in the ratio of 7:3. The price of each product R is Rs. 14, and each product Q is Rs. 11. The total revenue earned from selling all the product R is Rs. 196 more than the total revenue earned from selling all the products Q. Find the number of products P sold by the merchant.
    A 10.8 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 14.2 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    Let, the number of item P and the number of item Q sold by the shopkeeper be ‘3a’ and ‘4a, respectively. Number of item R sold by shopkeeper = (7/3) × 3a = 7a So, 4a × 11 – 7a × 14 = 196 44a – 98a = 196 54a = 196 a = 3.6 Number of item P sold by shopkeeper = 3a = 10.8

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