Question

a shopkeeper purchased a t.v set for RS 9000 and sold it at a loss of 5% . find the S.P of the t.v set
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Answer 1

$\sf\huge\underline{Answer :-}$

Given :

• Cost price of T.V set = Rs. 9000
• Loss = 5%

To find :

• Selling price of the T.V set

Solution :

Let the S.P of the T.V set be 'x'

According to question,

$\sf Loss \: = \: 5\% \: of \: Rs. \: 9000$

$\sf\longrightarrow \dfrac{5}{100} \times 9000$

$\sf\longrightarrow \dfrac{5}{\cancel{100}} \times 90{\cancel {00}}$

$\sf\longrightarrow 5 \times 90$

$\sf\therefore 450$

Hence, the loss is of Rs. 450

Now,

$\underline{\boxed{\sf S.P \: = \: C.P \: - \: loss}}$

$\sf\rightarrow S.P \: = \: Rs. \: (9000 \: - \: 450)$

$\sf\therefore S.P \: = \: Rs. \: 8550$

Hence, the S.P of the T.V set is Rs. 8550

More information :

• If the selling price is greater than cost price, then there is a profit.
• Profit = (S.P - C.P)
• If the cost price is greater than selling price, then there is a loss.
• Loss = (C.P - S.P)

Answer 2

Answer:

Given :-

• A shopkeeper purchased a TV set for Rs 9000 and sold it at a loss of 5%.

To Find :-

• What is the S.P of the TV.

Formula Used :-

${\red{\boxed{\large{\bold{S.P =\: C.P -\: Loss}}}}}$

where,

• S.P = Selling Price
• C.P = Cost Price

Solution :-

First, we have to find the loss%,

Given :

• Cost Price = Rs 9000
• Loss% = 5%

According to the question,

⇒ $\sf Loss =\: \dfrac{5}{100} \times 9000$

⇒ $\sf Loss =\: \dfrac{4500\cancel{0}}{10\cancel{0}}$

⇒ $\sf Loss =\: \dfrac{450\cancel{0}}{1\cancel{0}}$

➦ $\sf\bold{\green{Loss =\: Rs\: 450}}$

Now, we have to find the selling price of the TV,

Given :

• Cost Price = Rs 9000
• Loss = Rs 450

According to the question by using the formula we get,

↦ $\sf S.P =\: Rs\: 9000 -\: Rs\: 450$

➠ $\sf\bold{\purple{S.P =\: Rs\: 8550}}$

$\therefore$ The selling price of the TV is Rs 8550.

Some Important Formula :-

$\leadsto$ Profit = Sale Price - Cost Price

$\leadsto$ Loss = Cost Price - Sale Price

$\leadsto$ Profit% = $\sf \dfrac{Total\: Profit}{Cost\: Price} \times 100$

$\leadsto$ Loss% = $\sf \dfrac{Total\: Loss}{Cost\: Price} \times 100$

$\leadsto$ C.P = $\sf \bigg(\dfrac{100\%}{100 +\: Gain\%}\bigg) \times S.P$

$\leadsto$ S.P = $\sf \bigg(\dfrac{100 +\: Gain\%}{100}\bigg) \times C.P$

$\leadsto$ S.P = $\sf \bigg(\dfrac{100 -\: Loss\%}{100}\bigg) \times C.P$

$\leadsto$ C.P = $\sf \bigg(\dfrac{100\%}{100 -\: Loss\%}\bigg) \times S.P$

where,

• S.P = Selling Price
• C.P = Cost Price