Question

The price of 6 books is Rs $\dfrac{3000}{7}$ and the price of 10 pens is Rs $\dfrac{1200}{11}$. Find the price of 2 books and 3 pens .

Answer 1

Hint : Use unitary method. Find the price of one book and one pen and then find the required price of 2 books and 3 pens.

Complete step-by-step answer:
Given , the price of 6 books and 10 pens are Rs $\dfrac{3000}{7}$and Rs $\dfrac{1200}{11}$ respectively.
Price of a single book=$Rs\dfrac{3000}{7} \times \dfrac{1}{6}=Rs\dfrac{500}{7}$
Price of 2 books=$Rs 2 \times \dfrac{500}{7}= Rs\dfrac{1000}{7}$
Similarly ,
Price of a single pen=$Rs\dfrac{1200}{11} \times \dfrac{1}{10}=Rs\dfrac{120}{11}$
Price of 3 pens=$Rs 3 \times \dfrac{120}{11}= Rs\dfrac{360}{11}$
Thus , the required price of 2 books and 3 pens are $Rs\dfrac{1000}{7}$and $ Rs\dfrac{360}{11}$ respectively


Note: The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. This method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple. The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value. Students often don’t conceptually understand how to solve sums where they need to use Unitary Method.