A person buys 860 articles at Rs. 1900 due to some reason 2/11 part of total articles be destroyed, he sold 66.66% of all articles at 18.18% profit. At what profit or loss % he should sell remaining articles, so that finally he will got neither profit nor loss?
Answers
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Answer:
The person should sell the remaining 227 articles at a loss of 11.08% to get neither profit nor loss.
what is profit?
Profit is the financial gain obtained by subtracting the total cost or expenses from the total revenue or income.
Explanation:
The person bought 860 articles at Rs. 1900, so the cost price (CP) per article is:
CP per article = 1900/860 = Rs. 2.2093
Due to some reason, 2/11 part of the total articles are destroyed, which means the person is left with:
Total articles left = 860 - (2/11)*860 = 680
Now, the person sells 66.66% of all articles at a profit of 18.18%. Let's first calculate the selling price (SP) per article:
Profit % = 18.18%
Profit per article = CP per article * Profit % = 2.2093 * 18.18% = 0.4012
SP per article = CP per article + Profit per article = 2.2093 + 0.4012 = Rs. 2.6105
The person sells 66.66% of 680 articles, which is approximately equal to 453 articles. The total revenue from the sale of these articles is:
Revenue from 453 articles = 453 * 2.6105 = Rs. 1183.77
Now, let's calculate the cost of the remaining articles:
Cost of 227 articles = 227 * 2.2093 = Rs. 501.91
To get neither profit nor loss, the selling price of the remaining 227 articles should be equal to the cost price of these articles. Let's denote the required profit or loss % by x. Then we can write:
SP of 227 articles = CP of 227 articles * (1 + x/100)
501.91 * (1 + x/100) = SP of 227 articles = CP of 227 articles
Solving for x, we get:
x = (CP of 227 articles/501.91 - 1) * 100
x = ((227 * 2.2093)/501.91 - 1) * 100
x = -11.08%
Therefore, the person should sell the remaining 227 articles at a loss of 11.08% to get neither profit nor loss.
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