Question

An item was bought at 3750 and was sold at a loss of 10%. Calculate the loss (inRs) made and
the selling price of the item.​

Answer 1

Answer :-

• The loss suffered = Rs 375.
• The selling price of the item = Rs 3375.

Given :-

• Cost price of the item = Rs 3750.
• It was sold at a loss of 10%.

To find :-

• The loss made.
• The selling price of the item.

Step-by-step explanation :-

Cost price of the item = Rs 3750.

It was sold at a loss of 10%.

Profit and loss is always calculated on the cost price.

So, to find the loss suffered, we have to find out how much is 10% of 3750 (Cost Price)

Lets proceed!

$\sf10\% \: of \: 3750$

Converting 10% into fraction,

$\sf\dfrac{1 \not0}{1 \not0 \not0} \: of \: 375 \not0$

Reducing the numbers, we get

$\sf \dfrac{1}{1} \: of \:375$

1/1 can also be written as 1.

So, now lets multiply the remaining numbers.

We get :-

$\sf1 \times 375 = 375$

So, a loss of Rs 375 was suffered.

Now, we know that :-

${\boxed {\bf SP = Cost \: Price - Loss}}$

Substituting the values,

$\bf SP = 3750 - 375$

On subtracting,

$\bf SP = 3375.$

Therefore, the selling price of the item was Rs 3375.

Answer 2

Answer:

Loss = 375 Rs

Selling price = Rs 3,375

Step-by-step explanation:

Given:

• C.P( Cost price) = Rs 3750
• Loss percentage = 10%

To find:

• Loss
• S.P(Selling price)

Solution:

$Loss = \dfrac{CP \: \times loss\%}{100}$

That means,

Loss =

$Loss = \dfrac{375 \cancel0 \times 1{ \cancel{0}}}{1 \cancel0 \cancel0}$

Loss = 375 Rs

Selling price = Cost price - Loss

Selling price = 3750 - 375

Selling price = Rs 3,375

More formulas to know:

$\begin{gathered} \boxed{ \begin{array}{c} \rm \: cost \: price = selling \: price - gain \: \\ \\ \rm \: gain \: \% = \dfrac{gain}{cost \: price} \times 100 \end{array}}\end{gathered}$