What is the ratio of the number of visitors to Manali on Wednesday to the…

Concept

A cumulative value up to a day includes that day and every earlier day. Therefore, the value for one day equals the cumulative value up to that day minus the cumulative value up to the previous day.

When a daily combined total and one place’s daily total are known, the other place’s daily total is found by subtraction. A ratio is then simplified by dividing both terms by their greatest common divisor.

Application

1. The total number of visitors over all five days is 4000.

2. Visitors to Kullu and Manali together on Wednesday = (70% − 40%) × 4000 = 30% × 4000 = 1200.

3. Visitors to Kullu on Wednesday = 1540 − 1060 = 480.

4. Visitors to Manali on Wednesday = 1200 − 480 = 720.

5. Visitors to Kullu on Thursday = 1700 − 1540 = 160.

6. Required ratio = 720 : 160. Dividing both terms by 80 gives 9 : 2.

Cross-check

The quotient 720 ÷ 160 is 4.5, and 9 ÷ 2 is also 4.5, so the simplified ratio preserves the same comparison.

Result

The required ratio is 9 : 2.