# Ex.8.3 Q6 Compairing Quantities - NCERT Maths Class 7

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## Question

Juhi sells a washing machine for $$\rm Rs\, 13,500.$$ She loses $$20\%$$ in the bargain. What was the price at which she bought it?

Video Solution
Comparing Quantities
Ex 8.3 | Question 6

## Text Solution

What is Known?

Price at which Juhi sold the washing machine $$\rm (Rs \,13,500)$$ and loss she made $$(20\%).$$

What is Unknown?

The price at which Juhi bought the washing machine.

Reasoning:

This question can be solved by assuming the cost price of the washing machine as $$\rm Rs\, 100.$$ Since loss is $$20\%,$$ the selling price will be $$\rm Rs \,80.$$ Now a simple logic can be used. If selling price is $$\rm Rs\, 80$$ then cost price is $$\rm Rs\, 100.$$ What will be the cost price if seeling price is $$\rm Rs \,13500.$$

Steps:

Let us assume cost of washing machine $$= \rm Rs\, 100$$

Loss $$= 20\%$$ of cost price

So, the selling price will be

\begin{align}&= \text{Cost price - loss}\\&= 100\,{\rm{- 20}}\\&= \rm{Rs}\,{\rm{80}}\end{align}

If selling price is $$\rm Rs \,80,$$ the cost price $$= \rm Rs \,100$$

If selling price is Rs $$13,500$$  the cost  price

\begin{align}&= \frac{{{\rm{100}}}}{{{\rm{80}}}} \times{\rm{13500}}\\ &= \,{\rm{Rs}}\,{\rm{16875}}\end{align}

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