Bissoy.com
Doctors Medicines MCQs Q&A

A bus started its journey with some passengers from city P to city S via cities Q and R respectively. On reaching city Q, 30% of the passengers left the bus and 2 new passengers boarded the bus. On reaching city R, 40% of the passengers left the bus and 7 new passengers boarded the bus. If 25 passengers reached city S, with how many passengers had the bus started from city P?

A bus started its journey with some passengers from city P to city S via cities Q and R respectively. On reaching city Q, 30% of the passengers left the bus and 2 new passengers boarded the bus. On reaching city R, 40% of the passengers left the bus and 7 new passengers boarded the bus. If 25 passengers reached city S, with how many passengers had the bus started from city P? Correct Answer 40

Let the bus started from city P with ‘x’ passengers

As, in city Q, 30% of passengers left and 2 new passengers boarded the bus

⇒ No. of passengers that reached city R = + 2 = (70% of x) + 2 = 0.7x + 2

Similarly, in city R, 40% of passengers left and 7 new passengers boarded the bus

⇒ No. of passengers that reached city S = + 7 = + 7 = 0.42x + 1.2 + 7 = 0.42x + 8.2

According to question,

⇒ 0.42x + 8.2 = 25

⇒ 0.42x = 16.8

⇒ x = 16.8/0.42 = 40

∴ 40 passengers started from city P in the bus

Related Questions

In a bus, there are total 80 passengers boarded out of which 35% are female. At next stop 20% passengers got down and no one boarded, now female passengers in the bus becomes 60% of male passengers, then out of total passengers who got down from the bus what percent are male?
7 members A, B, C, D, E, F and G are going to office in a particular order (not necessarily in the same order). C reached the office in the end. None of them reached the office at the same time. Atleast 3 members reached the office after G. E reached the office just after A and G reached the office just after E. F reached the office just before A but didn't reached the office after D. Who among them reached the office first?
A Google-owned IT company has started a bus service for its employees. The number of passengers a bus can carry is 45 and the average weight of all the employees must not succeed 64/kg. On a given day, it is noted that fewer persons have boarded the bus and thus increases the average weight by 8/kg. Find the number of persons who have not boarded the bus that day. (Also, the total weight must be same throughout).
In the question three statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement I: All Gyms are clean. Statement II: Some cities are smart cities. Statement III: All smart cities are clean. Conclusion I: Some cities which are not smart cities are clean is a possibility. Conclusion II: Some smart cities have Gym. Conclusion III: Some cities have Gym.
The pie chart given below shows the number of passengers travelling from Delhi to seven different cities P, Q, R, S, T, U and V. Total number of passengers travelling from Delhi to seven different cities is 24000. Number of passengers travelling from Delhi to a particular city is shown as a percent of total number of passengers travelling from Delhi to all these seven cities What is the average number of passengers travelling from Delhi to cities T, U and V ?
A train started with 450 passengers. At the first stop, \(\frac{1}{9}\) of them got down and 20 new passengers got in. At the second stop, \(\frac{1}{6}\) of the passengers then existing got down and 19 new passengers boarded. With how many passengers did the train arrive at the third stop?
In the following question the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct. 1. I boarded a bus from Tilak Nagar to the Railway Station. P. It was very embarrassing when people looked at me as if I was a fool. Q. The conductor came and I asked for a ticket. R. I was very happy to occupy a seat as I was sure that my journey will be comfortable. S. He told me that I had boarded a wrong bus. 6. But the conductor was kind enough to tell me that I could get down on the next-stand and get bus to the station.
On a journey, Mohan drove from City P to city Q to city R. His average speed for the whole journey was 20 km/hr. Find the average speed on his journey from city Q to city R. I: Average speed during the journey from city P to city Q is 20 km/hr. II: Total time taken for the entire journey is 7 hours. III: Ratio of distance traveled while going from P to Q and Q to R is 3 : 4.
The bus fare between two cities in the hilly region is five times the square of the distance between them in rupees. The distance from city A to city B is 8 km by direct route. From city B to city A can be reached via city C and D, where the distance of city A and city C is 3 km, the distance from city C to city D is 3 km and the distance from city D to city B is 4 km. What is the difference between the expenditure on both the routes?
Treena reached the office before Dev but after Loki. Veer reached the office before Treena but after Kiran reached the office. Loki reached the office just after Veer reached the office. Who reached the office last?