Question
Ratio of number of book to number of pen sold by a shopkeeper is 19:14, respectively while ratio of number of pen to number of pencil sold by the same shopkeeper is 7:11, respectively. If price of each book, each pen and each pencil is Rs. 40, Rs. 20, and Rs. 10 respectively then revenue generated by shopkeeper is Rs. 21420. Find the number of pen sold by shopkeeper.
MTSolution
Let, number of book and number of pen sold by shopkeeper be 19x and 14x respectively. Number of pencil sold by shopkeeper = 11/7 × 14x = 22x So, 19x × 40 + 14x × 20 + 22x × 10 = 21420 ⇒ 760x + 280x + 220x = 21420 ⇒ 1260x = 21420 x = 17 Number of pen sold by shopkeeper = 14x = 238
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