Pen, Pencil, and Rubber in a box are in proportion to 3: 2: 1. If the price 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.675, then find the number of pens in the box.
135
135 is correct.
Let the numbers of pens, pencils and rubbers be \(3k, 2k\) and \(k\).
Total cost \(=3\times 3k+2\times 2k+2\times k=9k+4k+2k=15k\), and \(15k=675\) gives \(k=45\).
Number of pens \(=3k=3\times 45=135\).
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