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An article when sold for 960 fetches 20% profit.What would be the percent profit /loss if such 5 article are sold for Rs. 825/-each?

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An article when sold for 960 fetches 20% profit.What would be the percent profit /loss if such 5 article are sold for Rs. 825/-each?
  • A3.125 % profit
  • B3.125 % loss
  • CNeither profit nor loss
  • D16.5 % profit
Answer not set
0
CCommunity
Solution
Let cost price of an article = $Rs.$ $100x$
If Selling price = Rs 960
=> Profit % = $\frac{960-100x}{100x} \times 100=20$
=> $960-100x=20x$
=> $20x+100x=120x=960$
=> $x=\frac{960}{120}=8$
Thus, cost price of 1 article = $100 \times 8 = Rs.$ $800$
If selling price = Rs. 825
$\therefore$ Profit % = $\frac{825-800}{800} \times 100$
= $\frac{25}{8} = 3.125\%$
=> Ans - (A)
0
CCommunity
Solution
Let cost price of an article = $Rs.$ $100x$
If Selling price = Rs 960
=> Profit % = $\frac{960-100x}{100x} \times 100=20$
=> $960-100x=20x$
=> $20x+100x=120x=960$
=> $x=\frac{960}{120}=8$
Thus, cost price of 1 article = $100 \times 8 = Rs.$ $800$
If selling price = Rs. 825
$\therefore$ Profit % = $\frac{825-800}{800} \times 100$
= $\frac{25}{8} = 3.125\%$
=> Ans - (A)
0
CCommunity
Solution
Let cost price of an article = $Rs.$ $100x$
If Selling price = Rs 960
=> Profit % = $\frac{960-100x}{100x} \times 100=20$
=> $960-100x=20x$
=> $20x+100x=120x=960$
=> $x=\frac{960}{120}=8$
Thus, cost price of 1 article = $100 \times 8 = Rs.$ $800$
If selling price = Rs. 825
$\therefore$ Profit % = $\frac{825-800}{800} \times 100$
= $\frac{25}{8} = 3.125\%$
=> Ans - (A)