Sonam is a cab driver, who plies within a city. The number of kilometres that she drives on a Tuesday was 12.5% less than the number of kilometres that she drives on the day before. On the other hand, the number of kilometres that she drives on Wednesday was 20% more than the number of kilometres that she drives on Tuesday. If Sonam drives a total of 336 km on Wednesday, how many kilometres did she drive on Monday?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 320 km.
The number of kms that Sonam drives on a Tuesday =12.5% less than the number of kms that she drives on a Monday
The number of kms that she drives on Wednesday = 20% more than the number of kms that she drives on Tuesday
She drives a total of 336 km on Wednesday.
If z is a% of y and y is b% of x,
z = (a/100)(b/100)x
z = 336
a = 120
b = 100 - 12.5 = 87.5
x is the kilometers Sonam drives on Monday.
336 = (120/100)(87.5/100)x
x = 3360000/(120 × 87.5) = 320 km