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 \(=3k=3\times 45=135\).
The sides of a quadrilateral are in the ratio 2 : 3 : 4 : 5 and its perimeter is 658 cm. Find the length of the smallest side (in cm).
A certain amount is divided into 2 parts in the ratio of 6: 5. If the first part is Rs.282, then find the total amount (in Rs.).