Question

Q1.A shopkeeper expects a gain of 20% on his cost price. If in a week, his sale was of Rs. 410, what was his profit?

Answer 1

Step-by-step explanation:

SOLUTION

GIVEN

A shopkeeper expects a gain of 20% on his cost price.

In a week, his sale was of Rs. 410

TO DETERMINE

His profit

EVALUATION

Let cost price = Rs. 100x

Now it is given that the shopkeeper expects a gain of 20% on his cost price

So profit = Rs 20x

So selling price

= Rs ( 100x + 20x )

= Rs 120x

Again it is given that in a week, his sale was of Rs. 410

So by the given condition

$\displaystyle\sf{ 120x = 410 }$

$\displaystyle\sf{ \implies \: x = \frac{410}{120} }$

$\displaystyle\sf{ \implies \: 20x = 20 \times \frac{410}{120} }$

$\displaystyle\sf{ \implies \: 20x = \frac{410}{6} }$

$\displaystyle\sf{ \implies \: 20x = 68.33}$

Hence the required profit

= Rs 20x

= Rs 68.33

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