Question

an article is sold at a loss of 20% there is yield of rupees 60 more if the article is sold at a profit of 20% find the cost price of the article

Answer 1

Answer:

Rs.150

Step-by-step explanation:

Let the cost price be x

Case 1)

Loss% = 20%

Loss = $20\% \times x = \frac{20}{100}x=\frac{1`}{5}x$

SP = CP -Loss = $x-\frac{x}{5}=\frac{4}{5}x$

Case 2)

Profit% = 20%

Profit = $20\% \times x = \frac{20}{100}x=\frac{1`}{5}x$

SP = CP+profit = $x+\frac{x}{5}=\frac{6}{5}x$

Now we are given that here is yield of rupees 60 more if the article is sold at a profit of 20%

So, $\frac{6}{5}x-\frac{4}{5}x=60$

$\frac{2}{5}x=60$

$x=60 \times \frac{5}{2}$

$x=150$

Hence the cost price of the article is Rs.150

Answer 2

Answer:

Rs.150

Step-by-step explanation:

Let the cost price be x

Case 1)

Loss% = 20%

Loss = 20\% \times x = \frac{20}{100}x=\frac{1`}{5}x20%×x=

100

20

x=

5

1‘

x

SP = CP -Loss = x-\frac{x}{5}=\frac{4}{5}xx−

5

x

=

5

4

x

Case 2)

Profit% = 20%

Profit = 20\% \times x = \frac{20}{100}x=\frac{1`}{5}x20%×x=

100

20

x=

5

1‘

x

SP = CP+profit = x+\frac{x}{5}=\frac{6}{5}xx+

5

x

=

5

6

x

Now we are given that here is yield of rupees 60 more if the article is sold at a profit of 20%

So, \frac{6}{5}x-\frac{4}{5}x=60

5

6

x−

5

4

x=60

\frac{2}{5}x=60

5

2

x=60

x=60 \times \frac{5}{2}x=60×

2

5

x=150x=150

Hence the cost price of the article is Rs.150