Question

a watch brought 550 was sold 627 percantage of profit or loss with solve​

Answer 1

➤ Given :-

Cost price of a watch :- ₹550

Selling price of a watch :- ₹627

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➤ To Find :-

The profit or loss percentage of the watch.

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➤ Formula required :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Profit \: (or) \: Loss}{CP} \times 100}}}}$

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★ How to do :-

Here, we are given with the cost price and the selling price and the watch. We are asked to find the profit or loss percentage obtained to the seller by selling that watch. The above formula can be preferred to find the same. But, first we should find the profit rupees by subtracting the selling price and the cost price of that watch. The obtained answer will be the profit rupees. Later, we can find the profit percentage by using the given formula. So, let's solve!!

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➤ Solution :-

Profit rupees :-

${\tt \leadsto 627 - 550}$

${\tt \leadsto Rs \: \: 77}$

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Now, find the profit percentage by using the given formula by substituting the values given to us.

Profit percentage :-

${\tt \leadsto \dfrac{77}{550} \times 100}$

Write the given whole number and the denominator in lowest form by using cancellation method.

${\tt \leadsto \dfrac{77}{\cancel{550}} \times \cancel{100}}$

Write the resulting fraction.

$\tt \leadsto \dfrac{77}{11} \times 2$

Again cancel the numbers by cancellation method.

${\tt \leadsto \cancel \dfrac{77}{11} \times 2 = 7 \times 2}$

${\tt \leadsto \pink{\underline{\boxed{\tt 14 \bf\%}}}}$

$\Huge\therefore$ The loss percentage obtained to the seller is 14%.

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$\dashrightarrow$ Some related formulas :-

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P - C.P} \\ \\ \bigstar \:\sf{Loss = C.P - S.P} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}$

Answer 2

Given :

• Selling Price (S.P) = Rs 627
• Cost Price (C.P) = Rs 550

To Find :

• Gain or Lose %

Solution :

• Here, as we are given that S.P and C.P , so to find gain or loss %, we have to find whether here is gain or loss.
• In order to calculate gain or loss, we'll compare C.P and S.P. If S.P is greater than there is gain, if C.P is greater than there is loss.
• And then we'll find the gain or loss % by the given formula:

If there is gain :

• Gain% = Gain / C.P × 100

If there is loss :

• Loss% = Loss / C.P × 100

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S.P = Rs 627

C.P = Rs 550

•›» Since, S.P is greater than C.P. Thus, there is gain. We know that :

➞ Gain = Selling Price - Cost Price

➞ Gain = 627 - 550

➞ Gain = Rs 77

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Clearly, there is gain of Rs 77 Now, we have to find the rate of gain i.e gain% . So, we know that :

⟾ Gain% = Gain / C.P × 100

⟾ Gain% = 77 / 550 × 100

⟾ Gain% = 77 / 55 × 10

⟾ Gain% = 77 × 10 / 55

⟾ Gain% = 770 / 55

⟾ Gain% = 14%

Thus Gain% is 14%

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Extra Information:

$\small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }$

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