Question
The reduction in price from marked price to selling price
is 28% of the gap between the marked price and cost price. If the seller gains 18% profit and the marked price is Rs. 780, determine the cost price.Solution
ATQ,
Let the cost price be Rs. 100x
Selling price = 100x × 1.18 = Rs. 118x
ATQ,
(780 - 118x) = (780 - 100x) × 0.28
⇒ 780 - 118x = 218.4 - 28x
⇒ 780 - 218.4 = 118x - 28x
⇒ 561.6 = 90x
⇒ x = 6.24
Cost price = 100 × 6.24 = Rs. 624
Two pipes A and B can fill a tank in 24 minutes and 30 minutes respectively, while a third pipe C can empty it in 40 minutes. If all three pipes are ope...
There are two pipes A & B, pipe A is for filling the swimming pool and pipe B is to empty the swimming pool. Capacity of swimming pool is 15120 m3<...
Together, the three intake pipes, "P," "Q," and "R," can fill a water tank in eight hours. While the three pipes are opened simultaneously, pipe "Q" clo...
Tap A and Tap B fill a drum of volume 408 liters in 12 minutes. If their efficiencies are in the ratio x:y respectively and B alone takes to fill the ci...
Tap A can fill a tank in 10 hours. Tap B can fill 12.5% part of the same tank in 5 hours, whereas Tap C can alone empty a tank in ‘x’ hours. 2/5 par...
Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 10) hours. If the efficiency of pipe B is triple of pipe A and pipe A...
If a tank can be filled by a tap in 12 hours, but due to an outlet, it actually takes 8 hours longer to fill the tank, find the duration in which the ou...
Pipe 'A' alone takes 15 minutes to fill half of the tank. Pipe 'B' is 4 times as efficient as pipe 'A'. Find the percentage of the tank filled by both i...
Two inlet pipes 'A' and 'B' can fill an empty tank in 36 minutes and 54 minutes, respectively. Another outlet pipe 'C' can empty the tank in 108 minutes...
Pipe ‘A’ can fill a tank in 15 hours whereas leak ‘A’ can empty it in 45 hours. If they both operate along with pipe ‘B’, then the given tan...
Relevant for Exams:
