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

**Given:**

The cost of a dozen pens is $ Rs.180$ and the cost of 8 ball pens is $Rs. 56$.

**To do:**

We have to find the ratio of the cost of a pen to the cost of a ball pen.

**Solution:**

Cost of a dozen pens $= Rs. 180$

We know that,

A group of 12 is defined as dozen.

Dozen$= 12$

This implies,

Cost of 1 pen$=\frac{Rs.\ 180}{12}$

$=Rs.\ 15 $

Cost of 8 ball pens $= Rs.\ 56$

Cost of 1 ball pen $=\frac{Rs.56}{8}$

$= Rs.\ 7$

The ratio of the cost of a pen to the cost of a ball pen is $15 : 7$.

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