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:

Correct option is C

Given,
One-fourth of sixty percent of a number is equal to two-fifth of twenty percent of another number. Suppose that the numbers are x and y.
According to the given condition,
x/4×60/100=2y/5×20/100
60x/400=40y/500
xy=8/15
Hence, the statement 1 is correct.
Now statement 2,
Total hours in one week,
24 × 7 = 168 hours
There are total 9 hours between 11 : 00 am to 8 : 00 pm.
So, total hours he studies in one week,
(9 × 5) + [9 × (1/3)] = 48 hours
So, the fractional part of the entire week that the student is studying = 48 / 168 = 4 / 14
Therefore, the second statement is also incorrect.
So, Statement (I) is true but Statement (II) is false