Review The cost price of 11 articles is equal to the selling price of 10 articles find the gain or loss
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Nội dung chính- Answer : B. 18 2/11 %Explanation:Is the selling price of 10 articles is equal to the cost price of 11 articles Find the gain percent?What is the percentage profit or loss if buying price is 120 and the selling price is 24?How do you find selling price when given cost and percentage?How do you find the market value of an article?
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Hint: We will assume the selling price of 9 articles as x so we will also get the cost price of 10 articles as x, and then we will find the selling price of 1 article and also the cost price of 1 article. We will then find the profit as profit = SP - CP. Using these values we will find the profit percentage, which is given by $gain%=dfracgainC.Ptimes 100$ .
Complete step by step answer:
Let us take the selling price (S.P.) of 9 articles to be Rs. x.
Now, from
this we can say that the S.P. of 1 article is
[=Rs. dfracx9]
Now, as given in the question, we know that the cost price(C.P.) of 10 articles is also Rs. x.
So, from this, we can get the C.P. of 1 article is
[=Rs. dfracx10]
Now, the profit made by selling 9 articles can be calculated as follows
Profit=selling price of 9 articles -cost price of 9 articles
Profit=x-9 times the cost price of 1 articles
(As assumed the start of the
question)
[beginalign
& =x-9times dfracx10 \
& =dfracx10 \
& =dfracx10 \
endalign]
Hence, this is the profit that is experienced.
Now, for the profit percent, we can use the formula that is as follows,
[beginalign
& Rightarrow profit%=dfracprofitC.P.times 100 \
& Rightarrow profit%=dfracdfracx109times dfracx10times 100 \
&
Rightarrow profit%=dfrac19times 100% \
& Rightarrow profit%=11.11% \
endalign]
Hence we get the profit percentage = 11.11%
Note: Another method of doing this question is that we could simply take the cost price of 1 article to be Re. 1.
Then, we can proceed further as directed in the question and then we can use the formula for finding the profit % to get the final answer which would be the same as this one. Also, some students
may make mistakes while writing the formula of profit percentage and may write SP instead of CP in the formula, so this must be avoided.
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent ?
A. 15 5/15%
B. 18 2/11 %
C. 6 2/3%
D. 30%
Answer : B. 18 2/11 %
Explanation:
Given :
Cost Price = 13 and Selling Price = 11
According to the formula,
Profit % = ( (C.P – S.P / S.P) * 100 ) %
Profit % = ( (13 – 11 / 11) *
100 ) %
= ( (2 / 11) * 100 ) %
= 18 2/11 %
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Is the selling price of 10 articles is equal to the cost price of 11 articles Find the gain percent?
It is given that, selling price of 10 articles = cost price of 11 articles. =10 %. Therefore, the profit % is 10 %.What is the percentage profit or loss if buying price is 120 and the selling price is 24?
Detailed Solution According to the question, profit is calculated on selling price. ∴ The profit percent is 25%.How do you find selling price when given cost and percentage?
Cost price = Selling price + loss ( when selling price and loss is given ) Cost price =100×Selling Price100+Profit%( when selling price and profit % is given ) Cost price =100×Selling Price100−loss%( when selling price and loss % is given )How do you find the market value of an article?
Given: Market price = Rs. 10000. Discount = 10 % Profit = 20 %. Formula used: Selling price = cost price + profit.. Calculation: Selling price = 10000 – 10% of 1000. ⇒ Rs. 9,000. Let the cost price is Rs. x. ⇒ 9,000 = x + 20%of x. ⇒ 9,000 = 120x/100. ⇒ x = Rs. 7500. ∴ Cost price is Rs. 7500. Download Soln PDF. Share on Whatsapp.. Tải thêm tài liệu liên quan đến nội dung bài viết The cost price of 11 articles is equal to the selling price of 10 articles find the gain or loss
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