Question
Pen, Pencil, and Rubber in a box are in proportion to 3:
2: 1. If the value of each pen, pencil and rubber is Rs.3, Rs.2 and Rs.2, respectively, and the total amount spent on the entire box is Rs.1065, find out the number of pens in the box.Solution
Let the ratio of pen, pencil, and rubber in the box be 3x: 2x: x (since the ratio is given as 3:2:1). The total cost of the pens, pencils, and rubbers is Rs. 1065. Cost of pens= 3x × 3 = 9x Cost of pencils= 2x × 2 = 4x Cost of rubbers= x × 2 = 2x The total cost is the sum of these-  9x + 4x + 2x = 1065 15x = 1065 Solve for a x = 1065/15 = 71 The number of pens is = 3x = 3 × 71 = 213
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