In the month of January, the railway police caught 4000 ticketless tra

1.	In the month of January, the railway police caught 4000 ticketless travellers. In February, the number rose by 5%. However, due to constant vigil by the police and the railway staff, the number reduced by 5% and in April it further reduced by 10% . The total number of ticketless travellers caught in the month of April was (a) 3125 (b) 3255 (c) 3575 (d) 3591
Answer» (d) 3591 Total number of ticketless travellers in April = 4000 x \(\big(1+\frac{5}{100}\big)\)\(\big(1-\frac{5}{100}\big)\)\(\big(1-\frac{10}{100}\big)\) = 4000 x \(\frac{21}{20}\) x \(\frac{19}{20}\) x \(\frac{9}{10}\) = 3591.

In the month of January, the railway police caught 4000 ticketless travellers. In February, the number rose by 5%. However, due to constant vigil by the police and the railway staff, the number reduced by 5% and in April it further reduced by 10% . The total number of ticketless travellers caught in the month of April was (a) 3125 (b) 3255 (c) 3575 (d) 3591

Answer»

(d) 3591

Total number of ticketless travellers in April

= 4000 x \(\big(1+\frac{5}{100}\big)\)\(\big(1-\frac{5}{100}\big)\)\(\big(1-\frac{10}{100}\big)\)

= 4000 x \(\frac{21}{20}\) x \(\frac{19}{20}\) x \(\frac{9}{10}\)

= 3591.