Question

A man sold two toasters for ruppes 900 each on one toaster he gains 20%profit and on other he loses 20% how much does he gain or loss on whole transaction ? Find profit or loss percent on whole transaction​

Answer 1

Answer:

The man gained profit of 0 ruppes .

Step-by-step explanation:

Price of the toaster = 900

number of toaster = 2

20% of 900 = 180

so the man gained profit of 180 ruppes

on the first toaster and lost 180 ruppes on the second toaster .

180-180 = 0

So the man gained profit of 0 ruppes

Answer 2

➤ Given :-

Selling price of each toaster :- ₹900

Gain of first toaster :- 20%

Loss of second toaster :- 20%

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➤ To Find :-

• Total gain or loss rupees.
• Total gain or loss percent.

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➤ Formula required :-

Cost price :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100}{(100 + Profit \bf\%)} \times Selling \: price}}}}$

Profit or loss percentage :-

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

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★ How to do :-

Here, we are given that a men sold two toasters for ₹900 each and on one toaster he got 20% profit and on other he got 20% of loss. We should find the total gain or loss and total gain or loss percent. So, first we should find the cost price of both tye toasters using the first formula, and then we can find the total profit or loss and total profit or loss percentage.

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➤ Solution :-

Cist price of first toaster :-

${\tt \leadsto \dfrac{100}{(100 + 20)} \times 900}$

${\tt \leadsto \cancel \dfrac{100}{120} \times 900 = \dfrac{5}{6} \times 900}$

${\tt \leadsto \dfrac{5 \times 900}{6} = \dfrac{4500}{6}}$

${\tt \leadsto \cancel \dfrac{4500}{6} = \boxed{\tt 750}}$

Cost price of second toaster :-

${\tt \leadsto \dfrac{100}{(100 - 20)} \times 900}$

${\tt \leadsto \dfrac{100}{80} \times 900}$

${\tt \leadsto \cancel \dfrac{100}{80} \times 900 = \dfrac{5}{4} \times 900}$

${\tt \leadsto \dfrac{5 \times 900}{4} = \dfrac{4500}{4}}$

${\tt \leadsto \cancel \dfrac{4500}{4} = \boxed{\tt 1125}}$

Now, we should add both the cost price and selling price together.

Total cost price :-

${\tt \leadsto 750 + 1125}$

${\tt \leadsto Rs \: \: 1875}$

Total selling price :-

${\tt \leadsto 900 + 900}$

${\tt \leadsto Rs \: \: 1800}$

Here, we can observe that the cost price is greater than the selling price. So, we had obtained with loss.

Total loss :-

${\tt \leadsto 1875 - 1800}$

${\tt \leadsto Rs \: \: 75}$

Now,

Total loss percentage :-

${\tt \leadsto \dfrac{75}{1875} \times 100}$

${\tt \leadsto \cancel \dfrac{75}{1875} \times 100 = \dfrac{1}{25} \times 100}$

${\tt \leadsto \dfrac{1 \times 100}{25} = \dfrac{100}{25}}$

${\tt \leadsto \cancel \dfrac{100}{25} = \boxed{\tt 4 \bf\%}}$

$\Huge\therefore$ The loss obtained oj whole transaction is ₹75 and the loss percentage is 4%.

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$\dashrightarrow$ Some related formulas :-

Profit :- ${\boxed{\tt SP-CP}}$

Profit percentage :- ${\boxed{\tt\dfrac{Profit}{CP} \times 100}}$

Selling price :- ${\boxed{\tt\dfrac{(100 + Profit \bf\%)}{100} \times CP}}$