Question

QUESTION 12 The shopkeeper sold some chairs for Rs. 3240 and made a profit of 20% What was the profit percentage if he had sold chairs for Rs. 27812
1. 4.25%
2. 3%
3 4.5%
4. 3.25%​

Answer 1

Correct question is "The shopkeeper sold some chairs for Rs. 32400 and made a profit of 20% What was the profit percentage if he had sold chairs for Rs. 27812

1.4.25%

2. 3%

3 4.5%

4. 3.25%"

Answer:

The profit percentage if he had sold chairs for Rs. 2781 was 3%.

So second option is the correct answer.

Step-by-step explanation:

Given,the shopkeeper sold some chairs for 32400 rupees.

Therefore selling price of the chair is 32400 rupees.

It is also given he made a profit of 20%.

We know,

profit of x% $= (100 + x)\%$

So, profit of 20%

$= (100 + 20)\% \\ = 120\%$

Here 120% means 32400 rupees

By Unitary method,

1% means $\frac{32400}{120}$

100% means

$\frac{32400}{120} \times 100 \\ = 270 \times 100 \\ = 27000 \: rupees$

Therefore cost price is 27000 rupees.

We know 27000 rupees means 100%

So, 1 rupees means $\frac{100}{27000} \%$

and 27812 rupees means

$\frac{100}{27000} \times 27812 \\ = 103.01\%$

Required profit percentage is

$(103.01 - 100)\% \\ = 3.01\% = \\ = 3\% \: (approx)$

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