Question

(a) If the selling price of 30 pens is equal to the cost
price of 40 pens, find the profit/loss percentage.
(b) If the loss made by a trader in selling 30kg of wheat is equal to the cost price of 6 kg of wheat,find the loss percentage.​

Answer 1

a) $33\dfrac{1}{3}\%$ b) 80%.

Step-by-step explanation:

Since we have given that

Selling price of 30 pens = Cost price of 40 pens

So, it becomes,

$30SP=40CP\\\\\dfrac{SP}{CP}=\dfrac{40}{30}\\\\\dfrac{SP}{CP}=\dfrac{4}{3}$

So, there will be profit as SP is greater than CP.

So, it becomes,

$\dfrac{SP-CP}{CP}\times 100\\\\=\dfrac{4-3}{3}\times 100\\\\=\dfrac{1}{3}\times 100\\\\=33\dfrac{1}{3}\%$

b) Selling price of 30 kg of wheat = Cost price of 6 kg of wheat

So, it becomes,

$30SP=6CP\\\\5SP=CP\\\\\dfrac{SP}{CP}=\dfrac{1}{5}$

So, it becomes,

$\dfrac{CP-SP}{CP}\times 100\\\\=\dfrac{5-1}{5}\times 100\\\\=\dfrac{4}{5}\times 100\\\\=4\times 20\\\\=80\%$

Hence, a) $33\dfrac{1}{3}\%$ b) 80%.

# learn more:

Two articles A and B are sold by a

trader. The cost Price of A equals the

half the selling price of B. A is sold at

40%. Profit and the Cost Price of B is

equal to 24% less than its selling Price .

what will be the overall

Percent

Profit / Loss

by the trader?​

https://brainly.in/question/15356811

Answer 2

Answer:

a) 33\dfrac{1}{3}\%33

3

1

% b) 80%.

Step-by-step explanation:

Since we have given that

Selling price of 30 pens = Cost price of 40 pens

So, it becomes,

\begin{gathered}30SP=40CP\\\\\dfrac{SP}{CP}=\dfrac{40}{30}\\\\\dfrac{SP}{CP}=\dfrac{4}{3}\end{gathered}

30SP=40CP

CP

SP

=

30

40

CP

SP

=

3

4

So, there will be profit as SP is greater than CP.

So, it becomes,

\begin{gathered}\dfrac{SP-CP}{CP}\times 100\\\\=\dfrac{4-3}{3}\times 100\\\\=\dfrac{1}{3}\times 100\\\\=33\dfrac{1}{3}\%\end{gathered}

CP

SP−CP

×100

=

3

4−3

×100

=

3

1

×100

=33

3

1

%

b) Selling price of 30 kg of wheat = Cost price of 6 kg of wheat

So, it becomes,

\begin{gathered}30SP=6CP\\\\5SP=CP\\\\\dfrac{SP}{CP}=\dfrac{1}{5}\end{gathered}

30SP=6CP

5SP=CP

CP

SP

=

5

1

So, it becomes,

\begin{gathered}\dfrac{CP-SP}{CP}\times 100\\\\=\dfrac{5-1}{5}\times 100\\\\=\dfrac{4}{5}\times 100\\\\=4\times 20\\\\=80\%\end{gathered}

CP

CP−SP

×100

=

5

5−1

×100

=

5

4

×100

=4×20

=80%

Hence, a) 33\dfrac{1}{3}\%33

3

1

% b) 80%.

# learn more:

Two articles A and B are sold by a

trader. The cost Price of A equals the

half the selling price of B. A is sold at

40%. Profit and the Cost Price of B is

equal to 24% less than its selling Price .

what will be the overall

Percent

Profit / Loss

by the trader?