Question

The profit earned when an article is sold for 800 is 20 times the loss incurred when it is sold for 275. at what price should the article be sold if it is desired to make a profit of 25%.

Answer 1

Let the original price be x and let the loss be y.
then,According to your question "the profit earned when sold for 800",so the profit = 800 - x
and it is equal to the 20 times the loss when sold for 275.Which means x - y = 275 now we need to calculate the loss which is y => x = 275 + y => y = x - 275
Now,800 - x = 20(x - 275)
=>800 - x = 20x - 5500
21x = 6300
x = 6300/21 = 300
so we need 25 % profit => 100 + 25/100 × 300 = ₹375
Hence,we need to sell it for ₹375 to get a profit of 25%.