Question

ln Delhi, people who travel by metro are 40% more than the people who travel by bus every day. People who travel via train daily are 54000 less than the daily metro users. If it is known that daily sales of bus tickets are 10% more than train ticket sales, find the total number of daily commuters (approx), given 90% of daily passengers use these public transports.
1. 364000
2. 444444
3. 440000
4. 404444

Answer 1

Correct Answer - Option 4 : 404444

Let numbers of people who travel by Metro, Bus and Trains daily are denoted by M, B and T. Also, let’s assume total number of daily commuters be C.

So, M = 1.4 B      ---- (1)

M – T = 54000      ---- (2)

B = 1.1T      ---- (3)

⇒ M = 1.4(1.1T) = 1.54T      ---- (4)      {from eq. (1) and (3)}

⇒ 1.54T – T = 54000      {from eq. (2) and (4)}

⇒  T = 100000      ---- (5)

Since, 0.9C = M + B + T

⇒ 0.9C = 1.54T + 1.1T + T      {from eq. (3) and (4)}

⇒ 0.9C = 3.64T

⇒ C = (3.64 × 100000)/0.9 = 404444      {from eq. (5)}