Question Details

Read the information and answer the following questions.

The information is about the total males and females visits museum in three different days (Monday, Tuesday and Sunday). Total people visit all the three days is 135. Males visit on Sunday is 40% of females visit on Monday. Females visit on Sunday is 5 less than that on Monday. Males and females visit on Tuesday is 20 and 40 respectively. The ratio of people visit on Sunday and Tuesday is 1: 2.

Find the ratio of total people visited to museum on Sunday to Monday.

Options

A

1:8

B

2:1

C

3:2

D

2:3

Show Answer

Correct Answer :

Option D

2:3

2:3

Solution :

The correct answer is 2:3.

Let us carefully work through the given information step by step to find the required ratio.

Step 1: Find the total number of people who visited on Tuesday.

We are directly told:
Males on Tuesday = 20
Females on Tuesday = 40

So, Total visitors on Tuesday = 20 + 40 = 60

Step 2: Find the total number of people who visited on Sunday.

We are given that the ratio of people visiting on Sunday to Tuesday is 1 : 2.

Let total visitors on Sunday = S and total visitors on Tuesday = 60.

S60 = 12

S = 602 = 30

So, Total visitors on Sunday = 30

Step 3: Find the total number of people who visited on Monday.

We are told that total visitors across all three days = 135.

Monday + Tuesday + Sunday = 135

Monday + 60 + 30 = 135

Monday = 135 - 90 = 45

So, Total visitors on Monday = 45

Step 4: Find the ratio of Sunday visitors to Monday visitors.

Sunday : Monday = 30 : 45

Dividing both by their GCD (which is 15):

30 : 45 = 2 : 3

Therefore, the ratio of total people visited the museum on Sunday to Monday = 2 : 3.

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