Quantitative Aptitude Ques 1244

Question: Sudhir has to travel from town A to town B which is certain distance apart. 30% of the distance was travelled by car, 40% of the remaining by bus, 50% of the remaining by train and he still has 210 km to reach town B. What is the total distance between town A and town B?

Options:

A) 1200 km

B) 1100 km

C) 1000 km

D) 1050 km

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the total distance between town A and town B be $ xkm. $ Distance remaining = 70% of 60% of 50% of $ x=210 $

$ \Rightarrow $ $ \frac{7}{100}\times \frac{60}{100}\times \frac{50}{100}\times x=210 $

$ \Rightarrow $ $ x=\frac{210\times 10\times 10\times 10}{7\times 6\times 5}=1000km $