13. A man sells 6 articles for Rs. 25 and makes a profit of 25%. Find his gain or
loss percent if he sells 15 such articles for Rs. 46.
on : Let C.P. of 6 articles be Rs. 100.
Answers
Step-by-step explanation:
A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.1050 less, he would have gained 30%. How do I find the cost price of the article?
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Let x be the cost price of the article (the price at which he buys the article from the wholesaler).
Selling the article at a profit of 25% means that currently its price is 125100x . Had he bought it at 20% less, he would have done so at a cost price of
x−20100⋅x=80100x .
Adding 30% gain to that cost price in the hypothetical case would set the price at
80100x+30100⋅80100x
That price is 1,050 less than the current ( 125100x ), i.e., 125100x−1,050
Hence, we can now work out an equation, the solution of which woul
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Let's suppose cost price(CP1) of the article be Rs 100
Then selling price(SP1) would be Rs 125
New cost price 20% less = Rs 80
New selling price 30% profit = 130% of 80 = Rs 104
Now, difference between the 2 selling prices = 125–104 = Rs 21.
When difference is 21 then CP = Rs 100
When difference is 1050 then CP = 100*1050/21 = Rs 5000
Hence the cost price of the article is Rs 5000