Question
If the sum of the coefficients in the expansion of (a +
b)n is 16384, then the greatest coefficient in the expansion isSolution
Binomial expansion: (x + y)n = C0 xn + C1 xn-1 y + C2 xn-2y2 + ….+ Cnyn Putting x = y = 1, we get 2n = C0 + C1 + C2 + ….+ Cn = 16384 = 214 => n = 14 Since n is even here, so the coefficient of greatest term is n Cn/2 = 14C14/2 = 14C7 = 13 × 2 × 11 × 2 × 3 × 2 = 3432
- A watch was sold at Rs. 9,600 after facing a 20% loss. What would be the profit percentage if it had been sold at Rs. 13,200?
Find the CP, when SP = Rs. 696, Loss = 13%.
If a boat travels 15 km more in downstream than in upstream in 3 hours and if the speed of the Boat in still water is 17 kmph. Find the distance tra...
Selling price of article ‘A’ when sold at a profit of 32% is Rs. 405 more than its selling price when sold at a loss of 40%. If the cost price of ar...
A shopkeeper marked an article P% above its cost price and sold it for Rs. 1440 after giving a discount of 20%. If the ratio of cost price and selling p...
A bag of cost price of Rs. 6000 is marked up by a certain percentage, and a discount percent of twice the markup percent is offered on it. If there is a...
- Ravi sold two items for Rs. 8,400 each. He gained 20% on one item and incurred a loss of 20% on the other. What is the difference in their cost prices?
A person bought an article and sold it at a loss of 20%. If he had bought it at 10% loss and sold it for 74 more, he would have gained 30%. Find the pro...
A seller marked an item above its cost price and allows a discount of 25% on it. On the discounted price, the seller charges a packaging price which is ...
A trader marked an article 35% above its cost price and sold it after allowing a discount of 25%. If the transaction resulted in a profit of Rs. 20, the...
Relevant for Exams:
