Question
I. 84x² - 167x - 55 = 0 II. 247y² + 210y + 27 =
0 In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer :Solution
I. 84x² - 167x - 55 = 0 84x² - 35x - 132x - 55 = 0 7x (12 x – 5) – 11 (12 x – 5) = 0 (12 x – 5) (7 x – 11) = 0 ∴ x = 5/12, 11/7 II. 247y² + 210y + 27 = 0 247y² + 171y + 39 y + 27 = 0 19 y(13 y + 9) + 3(13 y + 9) = 0 (19 y + 3) (13 y + 9) = 0 ∴y = -3/19, -9/13 Hence, x>y
- The amount by which the marked price is higher than the selling price is 33% of the difference between the marked price and the cost price. If the item is ...
A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit o...
A marked an article 60% above its cost price and when he allows ‘X’% discount, he makes a profit of ________% and when he allows ‘1.5X’% discoun...
The average cost price of two products, Lakme and Fruitjoy, is Rs. 400. These products are sold at profits of 10% and 20%, respectively. If the combined...
- A gadget was obtained at Rs. 1000 and improved for Rs. 600. It was marked 50% above the cost but later sold at a 10% loss. What is the discount given?
- A seller marked an article 60% above its cost price and sold it after allowing 20% discount. If he made a profit of Rs. 56, then find the difference betwee...
A dishonest merchant sells goods at a 12.5% loss on the cost price, but uses 28 g weight instead of 36 g. What is his percentage profit or loss?
A bag of cost price of Rs. 9000 is marked up by a certain percentage, and a discount percent of twice the markup percent is offered on it. If there is a...
Raghav sold two items, 'A' and 'B', each for Rs. 2,000. He incurred a 20% loss on item 'A' and earned a 25% profit on item 'B'. Calculate the approximat...
- The cost price of product ‘B’ is (400/9)% of the selling price of product ‘A’. Product ‘A’ is sold at 35% profit, and the cost price of product...