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Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
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A student buys a pen for Rs 90 and sells it for Rs 100. Find his gain and gain percent.
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Rekha bought a saree for Rs 1240 and sold it for Rs 1147. Find her loss and loss percent.
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A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain or loss percent.
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The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
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A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. If he sells the radio for Rs 300, determine his profit percent.
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A retailer buys a cooler for Rs 1200 and overhead expenses on it are Rs 40. If he sells the cooler for Rs 1550, determine his profit percent.
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A dealer buys a wristwatch for Rs 225 and spends Rs 15 on its repairs. If he sells the same for Rs 300, find his profit percent.
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Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.
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If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.
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If the cost price of 18 chairs be equal to selling price of 16 chairs, find the gain or loss percent.
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If the selling price of 18 oranges is equal to the cost price of 16 oranges, find the loss percent.
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Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs 1680 on its repairs and sold the motor cycle to Rahul for Rs 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish.
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By selling a book for Rs 258, a bookseller gains 20%. For how much should he sell it to gain 30%?
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A defective briefcase costing Rs 800 is being sold at a loss of 8%. If the price is further reduced by 5%, find its selling price.
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By selling 90 ball pens for Rs 160 a person loses 20%. How many ball pens should be sold for Rs 96 so as to have a profit of 20%?
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A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 36.75 less, he would have gained 30%. Find the cost price of the article.
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A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of 950 gm for each kilogram. Find his gain percent.
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A dealer bought two tables for Rs 3120. He sold one of them at a loss of 15% and other at a gain of 36%. Then, he found that each table was sold for the same price. Find the cost price of each table.
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Mariam bought two fans for Rs 3605. She sold one at a profit of 15% and the other at a loss of 9%. If Mariam obtained the same amount for each fan, find the cost price of each fan.
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