Question
A shopkeeper marked an item at Rs. 1000. The discount given
on it is equal to 40% of the difference between marked price and cost price. If he made a profit of 20%, find the cost price.Solution
ATQ,
Let cost price = 100x
Selling price = 100x × 1.20 = Rs. 120x
ATQ,
(1000 - 120x) = (1000 - 100x) × 0.40
⇒ 1000 - 120x = 400 - 40x
⇒ 1000 - 400 = 120x - 40x
⇒ 600 = 80x
⇒ x = 7.5
Cost price = 100 × 7.5 = Rs. 750
720 metres long train crosses a man who is moving in the same direction with a certain speed, in 30 seconds. If the same train can cross a tree in 20 se...
Train X, traveling at a speed of 54 km/hr, crosses another train Y, which is moving in the opposite direction at a speed of 90 km/hr, in 't' seconds. If...
600 metre long train ‘A’ is running with a speed of 57.6 km/hr. Train ‘B’ which is 641 metre long is running with a speed of 90 km/h in opposite...
- Two runners start from points R and S which are 198 km apart. Runner A starts from R at 5 a.m. at 36 km/h. Runner B starts from S at 6 a.m. towards R at 54...
Time is taken by two trains running in opposite directions to cross a man standing on the platform in 26 seconds and 16 seconds respectively. It took 18...
Two trains, each 110 meters long, are running in opposite directions. If the speed of one train is twice that of the other and they take 12 seconds to c...
A train 500 m long running at 108 km/hr takes 40 seconds to cross a bridge. The length of the bridge is
Two trains ‘T5’ and ‘U5’ of lengths 800 metres and 400 metres respectively are travelling towards each other. Ratio of speed of ‘T5’ to ‘U...
A train started from station P and preceded towards station Q at a speed of 98 km/h. 30 minutes later, another train started from station Q and preceded...
Two trains of same length are running in parallel tracks in the same direction with speed 84 km/hr and 120 km/hr respectively. The latter completely cro...
Relevant for Exams:
