Question
A merchant bought 12 desks and 20 stools for Rs. 9600.
He sold all the desks at a profit of 25% and all the stools at a profit of 15% and earned a profit of Rs. 1800. Find the approximate profit earned if he sold 6 desks and 12 stools for Rs. 7500.Solution
ATQ, Let cost price of 12 desks be Rs. ‘x’ and cost price of 20 stools be Rs. ‘y’. So, x + y = 9600 And 0.25 × x + 0.15 × y = 1800 Or, 0.25 × (9600 – y) + 0.15y = 1800 Or, 0.10y = 600 Or, y = 6000 So, x = 9600 – 6000 = 3600 Cost price of a desk = 3600/12 = Rs. 300 Cost price of a stool = 6000/20 = Rs. 300 Cost price of 6 desks and 12 stools = 300 × 6 + 300 × 12 = Rs. 5400 Desired Percentage = [(7500 – 5400)/5400] × 100 = 38.89% or ~ 39%
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 20 minutes and 10 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Pipe ‘A’ can fill a 240-litre tank in 15 hours. If pipe ‘A’ is 25% more efficient than pipe ‘C’ whereas pipe ‘B’ is 50% more efficient t...
Two pipes, X and Y, can individually fill a tank in 50 minutes and 25 minutes respectively. If both pipes are opened simultaneously, after how much time...
Pipe L can empty the tank which is 45% filled in 9 hours. The time taken by pipe K and J together to fill an empty tank completely in 7.5 hours. Pipe J ...
Pipe ‘M’ and pipe ‘N’ can fill a tank alone in 20 hours and 40 hours, respectively. If both pipes are opened together and pipe ‘M’ is close...
Tap P can fill the tank in 5 hours and Tap Q can empty it in 7(1/2) hours. Tap P starts filling and they opened for 1 hour each alternatively. In what t...
Pipe A can fill a tank in 12 hours, and Pipe B can fill it in 15 hours. Pipe C can empty the full tank in 20 hours. If all three pipes are opened togeth...
An inlet pipe can fill an empty tank in 40 minutes whereas an outlet pipe can empty the fully filled tank in 80 minutes. Find the time taken by both the...
Two pipes G and H can fill a cistern in 40 minutes and 50 minutes respectively. If both are opened together, after how many minutes should pipe G be shu...
A tank can be filled by pipe A in 12 hours and by pipe B in 18 hours. A waste pipe C can empty the full tank in 36 hours. If all three pipes are opened ...
Relevant for Exams:
