A goldsmith knows that the price of gold will hike by Rs.5 per gram. He bought some amount of gold for Rs. 4500.If he had bought this gold after the price was hiked then he gets 10 gram lesser .calculate the amount of gold in grams purchased by him.
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Let Amount bought = X grams
amount bought after increase of price = X - 10 gms
4, 500 / (X - 10) = (4, 500 / X ) + 5
4, 500 [ 1/(X-10) - 1/X ] = 5
900 * 10 = (X-10)X
X² - 10 X - 9000 = 0
(X-100)(X+10) = 0 => X = 100 grams
amount bought after increase of price = X - 10 gms
4, 500 / (X - 10) = (4, 500 / X ) + 5
4, 500 [ 1/(X-10) - 1/X ] = 5
900 * 10 = (X-10)X
X² - 10 X - 9000 = 0
(X-100)(X+10) = 0 => X = 100 grams
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