Question
A dishonest dealer professes to sell his goods at cost
price, but he uses a weight of 700 gm for the kg weight. Find his approximate gain per cent.Solution
Suppose goods cost the dealer Re 1 per kg. He sells for Re 1 what cost him Re 0.7. Gain on Re 0.7 = Re 1- 0.7 = Re 0.3 Gain on Rs. 100 = 0.3 * 100/0.7 = 42.85% Gain% = 42.85% Alternate Method: Gain% = (True weight – False weight) * 100/ False weight = (1000 – 700)*100/700 = 42.85%
A builder needs to transport sand and gravel. A truck can carry 4 tons of sand and 3 tons of gravel. A van can carry 2 tons of sand and 2 tons of grave...
A person who spends 55% of his salary saves the remainder. His salary goes up by 15%, but his savings stay the same, and he now spends Rs. 3,300 more. D...
In a triangle ABC, the sides are AB = 15 cm, BC = 20 cm, and AC = 25 cm. Find the area of the triangle using Heronās formula.
Two individuals, P and Q, set off from points X and Y simultaneously, moving toward each other. P travels at a speed of 60 km/h, while Q moves at 40 km/...
In an election between two candidates, the winning candidate secured 25% more votes than the losing candidate. If the winner rece...
A person 'P' borrowed some money from a friend who lends under a unique interest structure. For the first two years, the annual i...
A person sells two items, X and Y. The marked prices of X and Y are 25% and 40% higher than their cost prices, respectively. After a 10% discount on bot...
Tarun and Saurabh together can complete a task in 10 days. Tarun and Reena together can finish the same task in 14 days. Reena and Saurabh together can ...
If sin x + cos x = 7/5, find sinā“ x + cosā“ x: