Question

Cost of an item is Rs 50. It was sold with a profit of 12%. Find the selling price
An article was sold for Rs 250 with a profit of 5%. What was its cost price?
An item was sold for Rs 540 at a loss of 5%. What was its cost price?

Answer 1

Answer:

1) Rs. 56

2) Rs. 238

3) Rs. 568

Step-by-step explanation:

1)

cost of item = 50

profit% = 12

selling price = CP + profit%

$= 50 + ( \frac{12}{100} \times 50) \\ = 50 + 6 \\ = 56$

2)

selling price = 250

profit% = 5

cost price + profit% = selling price

let cost price be x

$x + ( \frac{5}{100} \times x) = 250 \\ x + \frac{5x}{100} = 250 \\ \frac{100x + 5x}{100} = 250 \\ 105x = 250 \times 100 \\ x = \frac{250 \times 100}{105} \\ x = \frac{250 \times 20}{21} \\ x = 11.90 \times 20 \\x = 238$

3)

selling price = 540

loss % = 5

cost price - loss% = selling price

let the cost price be x

$x - ( \frac{5}{100} \times x) = 540 \\ x - \frac{5x}{100} = 540 \\ \frac{100x - 5x}{100} = 540 \\ 95x = 540 \times 100 \\ x = \frac{540 \times 100}{95} \\ x = 568$

hope you get your answer

Answer 2

Q-1). Cost of an item is Rs 50. It was sold with a profit of 12%. Find the selling price?

Solution:

Given:

⇒ C.P = Rs 50

⇒ Profit % = 12 %

To Find:

⇒ Selling price of item.

Formula used:

⇒ S.P = C.P + Profit

So,

$\sf{\implies Profit=\dfrac{12}{50}\times 100}$

$\sf{\implies Profit=Rs.\;6}$

⇒ S.P = C.P + Profit

⇒ S.P = 50 + 6

⇒ S.P = Rs. 56

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Q-2. An article was sold for Rs 250 with a profit of 5%. What was its cost price?

Solution:

Given:

⇒ S.P = Rs. 250

⇒ Profit = 5%

To Find:

⇒ C.P

Formula used:

$\sf{\implies Profit=\dfrac{S.P-C.P}{C.P}}$

So,

$\sf{\implies Profit\%=\dfrac{S.P-C.P}{C.P}\times 100}$

$\sf{\implies 5=\dfrac{250-C.P}{C.P}\times 100}$

$\sf{\implies 5C.P=(250-C.P)\times 100}$

$\sf{\implies 5C.P=25000-100C.P}$

$\sf{\implies 5C.P+100C.P = 25000}$

$\sf{\implies 105C.P=25000}$

$\sf{\implies C.P=\dfrac{25000}{105}}$

$\sf{\implies C.P=Rs.\;238.09}$

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Q-3. An item was sold for Rs 540 at a loss of 5%. What was its cost price?

Solution:

Given:

⇒ S.P = Rs. 540

⇒ Loss % = 5%

To Find:

⇒ C.P

Formula used:

$\sf{\implies C.P=\dfrac{S.P\times 100}{100\times loss\;\%}}$

So,

$\sf{\implies C.P=\dfrac{S.P\times 100}{100\times loss\;\%}}$

$\sf{\implies C.P=\dfrac{540\times 100}{100-5}}$

$\sf{\implies C.P = \dfrac{54000}{95}}$

$\sf{\implies C.P=568.42}$