Question
The maximum value of 45 sin θ + 28 cos θ
is:Solution
The maximum value of a sin θ + b cosθ = 
So the maximum value of 45 sin θ + 28 cosθ is = = 53
A shopkeeper bought two articles for Rs. 250 each. If he sold one of them at 40% profit and the other at 20% loss, then find the difference between the ...
The ratio of cost price and selling price of a shirt is 4:5 respectively. The shirt was marked up by 30% above its cost price, and sold after giving Rs....
To clear the old stock of shoes, a shopkeeper offers four pairs of shoes for the price of three pairs at their cost price. Determine the percentage loss...
- A product is bought for Rs. 1,800. The shopkeeper tags it at 25% above the cost price and offers a discount of Rs. 200 at the time of sale. What is the per...
- A trader purchased a gadget and sold it at a profit of 30%. If he had sold it at a profit of 18%, his profit would have decreased by Rs.180. What was the c...
A marked an article 45% above the cost price and sold it for Rs. 1885 after giving a discount of 35%. Find the percentage profit earned by him if he sel...
An item marked at Rs. 1,500 is sold for Rs. 1,020 after two successive discounts of 15% and Y%. If a gadget with a cost price of Rs. 6,000 is sold at a ...
Axe and Wye purchases the Bikes at same price and later on Zed purchase both the bikes at the same price of Rs. 72000. But the profit % of Axe was A% wh...
- Two gadgets, ‘P’ and ‘Q’, were sold for Rs. 2800 each. The gain on gadget ‘P’ is equal to the loss on gadget ‘Q’. If the cost price of gadg...
- The ratio of the cost price to the marked price of a watch is 6:11. If a discount of 15% is given, the shopkeeper earns a profit of Rs. 240. Find the marke...
