Question
A watch and a calculator were purchased with their cost
prices in a ratio of 2:1, respectively. The calculator was sold at a 25% loss, and the watch was sold at a 40% profit. The combined transactions resulted in an overall profit of Rs. 110 for the shopkeeper. Calculate the original cost price of the watch.Solution
Let the cost price of the watch and the calculator be Rs. ‘2x’ and Rs. ‘x’, respectively. Selling price of the watch = 2x × 1.4 = Rs. ‘2.8x’ Selling price of the calculator = x × 0.75 = Rs. ‘0.75x’ ATQ; (2.8x + 0.75x) – (2x + x) = 110 Or, 3.55x – 3x = 110 Or, 0.55x = 110 So, x = 200 So, cost price of the watch = 200 × 2 = Rs. 400 Hence, option b.
A tank has two inlet pipes and one outlet pipe. Pipe A can fill the tank in 4 hours, and Pipe B can fill it in 6 hours. The outlet pipe C can empty the ...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 15 minutes and 36 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Pipe E can fill a tank in 40 minutes while pipe F can fill the same tank in 50 minutes. If pipe E and F are opened simultaneously, then after how much t...
Pipe ‘A’ can fill a tank in 27 hours. Pipe ‘B’ can empty it in 54 hours. If both are opened simultaneously, in how many hours will 66.67% of the...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 5 hours while pipe ‘C’ takes 30 hours to empty it. Pipe ‘A’ and pipe ‘B’ w...
A pump can fill a tank with water in 2 hours. Because of a leak in the tank it was taking 7/3 hours to fill the tank. The leak can drain all the water o...
A tank can be filled by pipe M in 20 hours and by pipe N in 30 hours...
There are 3 inlet and (z-1) outlet pipes attached to a tank. Each inlet pipe takes 40 hours to fill the tank, and each outlet pipe empties the fully fil...
Two inlet pipes M and N alone can fill a tank in 10 hours and 12 hours respectively and an outlet pipe P alone can empty the whole tank in 5 hours. Firs...
Pipe A and Pipe B can fill a cistern together in 18 minutes. Pipe B is 50% more efficient than pipe A. Find the capacity of cistern, if it is given tha...
Relevant for Exams:
