Question
The arithmetic mean and geometric mean of two numbers
are 7 and 2√10 respectively, then find the numbers.Solution
Arithmetic Mean = 7  (x + y)/2 = 7 x + y = 14                           ----(1) Geometric Mean = 2√10 √ xy = 2√ 10 Now, xy = (2√ 10)2 = 40 ------(2) (x - y) ² = (x + y) ² - 4xy  (x - y) ² = 142 - (4 x 40)  (x - y) ² = 196 - 160 = 36 x - y = 6             ----(3) Now, adding equation (1) and (3) we get  2x = 20  x = 10 and y =4. (10,4)
The cost price of an article is 30% less than its selling price. For how much profit was it sold? (Round off up to 2 decimal plac...
A shopkeeper sold an article after giving a discount of 20% and made a profit of Rs.40. Find the difference between the marked price and selling price o...
When an item is sold for Rs. 800, the profit is 10% more than when it's sold for Rs. 780. To achieve a 60% profit, determine the selling price.
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...
Cost price of an article A is Rs. 400 less than that of B. A and B are marked 40% and 20% above their cost price respectively. A and B are sold after a...
- If the total cost of 9 mangoes and 6 oranges is Rs. 270 and the total cost of 7 mangoes and 4 oranges is Rs. 200, then find the cost of 5 mangoes.
The selling price of y items is equal to the cost price of 720 items. If the profit made is 60%, then find the value of y.
A sold a watch to B at a profit of 20%. B sold it to C at 30% profit. C sold it to D at 10% loss. If B's profit is ₹.80 more than that of A, then D bo...
- Ramesh made a profit of 30% on an article, while Suresh sold the same article for a 22% profit. If Ramesh’s profit was Rs. 54 more than Suresh’s profit...
Profit percentage received on a product when sold for Rs.560 is equal to the percentage loss incurred when the same product is sold for Rs.420. Find the...
