Question
Two trains of same length are running in parallel tracks
in the same direction with speed 40 km/hr and 70 km/hr respectively. The latter completely crosses the former in 30 seconds. Find the length of each train (in m).Solution
When two trains cross each other, they cover distance equal to the sum of their lengths with relative speed.  Let's take length of each train = x So, total length of both trains = 2x Relative speed = (70 – 40) × (5/18) = 25/3 m/sec. ∴  Total length = Time × Relative speed  ⇒  2x = (30 × 25)/3 ⇒  x = 125 m
The ratio of cost prices of two articles ‘A’ and ‘B’ is 5:1 respectively and the average cost price of articles ‘A’ and ‘B’ is Rs. 1200....
A seller marked the price of an item at Rs. 5,000. The seller gave successive discounts of (b + 5)% and (b - 5)% to a customer. If the customer paid Rs....
A shopkeeper sold an article A at 20% gain and another article B at 20% loss. Find her overall gain or loss percent if selling price of both articles we...
The cost price of 23 mangoes is Rs.200. Because of bad quality of mangoes, the shopkeeper has to sell mangoes at a loss that is equal to selling price o...
Arjun sold two laptop bags, one with a 20% profit and the other with a 25% profit. The marked price of each bag is Rs. 1,500, and...
The marked price of a chair is Rs. 600. If the chair is sold after allowing successive discounts of 15% and 25%, then find the se...
The price of a commodity was first increased by 25% and then decreased by 25%. If the new price of the commodity is Rs. 600, find...
- Cost price of a CPU is 12.5% less than the marked price of tablet which is 36% less than the marked price of the CPU. The tablet is sold at 20profit after ...
- A dealer sold a furniture item for Rs. 300 after allowing a discount of ‘q%’ on its marked price. If the marked price of the item is Rs. 400, then find...
An article is sold for Rs. 2,295 after successive discounts of 20% and 5%. What is the marked price of the article?
Relevant for Exams:
