Question
I. 5x² = 19x – 12 II. 5y² + 11y =
12 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 5x² = 19x – 12 5x² - 19x + 12 = 0 5x² - 15x - 4x + 12 = 0 5x(2x – 3) - 4 (x – 3) = 0 (5x – 4) (x – 3) = 0 x = 3, 4/5 II. 5y² + 11y = 12 5y² + 11y – 12 = 0 5y² + 15y - 4y – 12 = 0 5y(y + 3) - 4(y + 3) = 0 (5y – 4) (y + 3) = 0 y = - 3, 4/5 Hence x ≥ y.
A Shopkeeper sold an article at 5% loss. If he had sold it for Rs. 350/- more, he would have made 20% profit, find the selling price of the article?
A shopkeeper bought two articles for Rs. 500 each. If he sold one of them at 25% profit and the other at 15% loss, then find the difference between the ...
A sold 20% more apples than B. Ratio of number of apples sold by B to number of apples sold by C is 8:9. Find the number of apples sold by A if number o...
A shopkeeper made a profit of P% on selling an article at a certain price. If the article is sold at 58.33% of the original selling price, the shopkeepe...
A trader marks an article 60% above its cost price. During a festival sale, he allows a discount of 25% on the marked price and still makes a profit of ...
The ratio between the cost price of book I and book J is 4:3 respectively. Each of the books was marked 20% above its cost price. If the MRP of book I i...
A shopkeeper bought three items: a microwave for Rs. 25w, a refrigerator for Rs. 40w, and a washing machine for Rs. 35w. The average price of these item...
Arun purchased a TV set for Rs 14000 and a DVD player for Rs. 8000. He sold both the items together for Rs. 26400. How much percent profit did he make? ...
M and N began a business with Rs. 2500 and Rs. 3500. After 4 months, M increases his contribution by Rs. 1000. If the total profit after 12 months is Rs...
The profit gained from selling a product for Rs. 9,500 equals the loss when the product is sold for Rs. 6,300. If the cost price of the product had been...
