Given below are two statements:
Statement (I): One-fourth of sixty percent of a number is equal to two-fifth of twenty percent of another number. Then the respective ratio of the first number to the second number is 8 ∶ 15.
Statement (II): A student is studying for a test from 11 ∶ 00 am to 8 ∶ 00 pm on weekdays and one-third of that time on Saturday. On Sunday, he takes a break and goes for a movie. The fractional part of the entire week that the student is studying is 3/7.
In the light of the above statements, choose the correct answer from the options given below:
1
Both Statement (I) and Statement (II) are true
2
Both Statement (I) and Statement (II) are false
3
Statement (I) is true but Statement (II) is false
4
Statement (I) is false but Statement (II) is true