Question

A subkeeper told 2 articles at 990 rupees each he makes 10 percent from 1 articles and 10 percent loss of other . Find his calculate his total profit and loss in percent

Answer 1

Answer:

1%loss

Step-by-step explanation:

if the selling price of 2 articles are same the one gain percent is same as the one loss percent then the overall percentage change is (x%x%)/100 always loss

here x=10

10*10/100=1% loss

Answer 2

➤ Correct Question :-

A shopkeeper sold two articles at ₹990 each. He makes a profit of 10* from first article and 10% loss on the other. Calculate his total profit or loss percentage.

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➤ Given :-

Selling price of each article :- ₹990

Gain percent on first article :- 10%

Loss percent on second article :- 10%

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➤ To Find :-

Total profit or loss percentage obtained to the shopkeeper.

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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 selling price of each articles. The shopkeeper is obtained with profit on one article and loss on the other while selling those. We are asked to find the profit or loss percentage of the whole transaction. So, first we should find the cost price of both the articles separately by using the formula given at last. Then, we should add both cost price together. Then, we should add both selling price together. Then, we should find the loss rupees by subtracting the cost price and selling price. Later, we can find the loss percentage for finding the loss percentage.

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➤ Solution :-

Cost price of first article :-

${\tt \leadsto \dfrac{100}{(100 + 10)} \times 990}$

${\tt \leadsto \cancel \dfrac{100}{110} \times 990 = \dfrac{10}{11} \times 990}$

${\tt \leadsto \dfrac{10}{\cancel{11}} \times \cancel{990} = \dfrac{10}{1} \times 90}$

${\tt \leadsto \dfrac{10 \times 90}{1} = \dfrac{900}{1}}$

${\tt \leadsto \cancel \dfrac{900}{1} = 900}$

Cost price of second article :-

${\tt \leadsto \dfrac{100}{(100 - 10)} \times 990}$

${\tt \leadsto \cancel \dfrac{100}{90} \times 990 = \dfrac{10}{9} \times 990}$

${\tt \leadsto \dfrac{10}{\cancel{9}} \times \cancel{990} = \dfrac{10}{1} \times 110}$

${\tt \leadsto \dfrac{10 \times 110}{1} = \dfrac{1100}{1}}$

${\tt \leadsto \cancel \dfrac{1100}{1} = 1100}$

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Total cost price :-

${\tt \leadsto 900 + 1100}$

${\tt \leadsto Rs \: \: 2000}$

Total selling price :-

${\tt \leadsto 990 + 990}$

${\tt \leadsto Rs \: \: 1980}$

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Loss rupees :-

${\tt \leadsto 2000 - 1980}$

${\tt \leadsto Rs \: \: 20}$

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Now,

Loss percentage :-

${\tt \leadsto \dfrac{20}{2000} \times 100}$

${\tt \leadsto \cancel \dfrac{20}{2000} \times 100 = \dfrac{1}{100} \times 100}$

${\tt \leadsto \dfrac{1 \times 100}{100} = \dfrac{100}{100}}$

${\tt \leadsto \cancel \dfrac{100}{100} = \boxed{ \tt 1 \bf\%}}$

$\Huge\therefore$ The loss percentage obtained for the shopkeeper is 1%.

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$\dashrightarrow$ Some related formulas :-

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