| 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? |
A) 1200 km
B) 1100 km
C) 1000 km
D) 1050 km
Correct Answer: C
Solution :
| Let the total distance between town A and town B be \[x\,\,km.\] |
| Distance remaining = 70% of 60% of 50% of \[x=210\] |
| \[\Rightarrow \]\[\frac{7}{100}\times \frac{60}{100}\times \frac{50}{100}\times x=210\] |
| \[\Rightarrow \]\[x=\frac{210\times 10\times 10\times 10}{7\times 6\times 5}=1000\,\,km\] |
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