Question

# Cost of a dozen pens is Rs 180 and the cost of 8 ball pens is Rs 56. Find the ratio of the cost of a pen to the cost of a ball pen.

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Hint: The unitary method, in essence, is all about finding the “per unit value”. The unitary method is a technique for solving a problem by first finding the value of a single unit.

Cost of a dozen pens (12 pens) $= Rs.180$
Cost of one pen $= \dfrac{{180}}{{12}}$
Cost of one pen, ${C_1} = Rs.15$
Now, Cost of 8 ball pens $= Rs.56$
Cost of one ball pen $= \dfrac{{56}}{8}$
Cost of one ball pen, ${C_2} = Rs.7$
$\dfrac{{{C_1}}}{{{C_2}}} = \dfrac{{15}}{7}$