Question Details

Find the ratio between the total number of mountains in A and the difference between the number of mountains and beaches in C.
Read the following bar graph and table carefully and answer the questions given below. The bar graph shows total number of beaches in five different countries. The table shows percentage of mountains out of total beaches and mountains together in these countries.

Countries Percentage of mountains out of total beaches and mountains together

A 60%

B 75%

C 20%

D 80%

E 50%

Countries	Percentage of mountains out of total beaches and mountains together
A	60%
B	75%
C	20%
D	80%
E	50%

Options

5:3

4:5

3:4

6:5

7:3

Show Answer

Correct Answer :

Option A

5:3

Solution :

The correct option is 5:3.

Step 1: Extract data from the bar graph and table
By inspecting the bar graph showing the total number of beaches across different countries, we find the following values:
• Number of beaches in Country A = 100
• Number of beaches in Country C = 120

From the provided table, we know the percentage of mountains out of the total combined number of beaches and mountains in each country:
• Country A: 60% mountains
• Country C: 20% mountains

Step 2: Calculate the number of mountains in Country A
Since mountains account for 60% of the total (beaches + mountains) in Country A, beaches account for the remaining percentage:

$100 % - 60 % = 40 %$

Let $T_{A}$ be the total combined number of beaches and mountains in Country A. Since 40% of $T_{A}$ corresponds to 100 beaches:

$40 % \times T_{A} = 100$

$T_{A} = \frac{100 \times 100}{40} = 250$

Now, we calculate the number of mountains in Country A (60% of total):

$Mountains in A = 60 % \times 250 = \frac{60 \times 250}{100} = 150$

Step 3: Calculate the number of mountains and the difference in Country C
In Country C, mountains constitute 20% of the total combined number of beaches and mountains. Thus, beaches constitute:

$100 % - 20 % = 80 %$

Let $T_{C}$ be the total combined number of beaches and mountains in Country C. Since 80% of $T_{C}$ corresponds to 120 beaches:

$80 % \times T_{C} = 120$

$T_{C} = \frac{120 \times 100}{80} = 150$

Now, we calculate the number of mountains in Country C (20% of total):

$Mountains in C = 20 % \times 150 = \frac{20 \times 150}{100} = 30$

The difference between the number of mountains and beaches in Country C is:

$Difference in C = 120 - 30 = 90$

Step 4: Find the required ratio
We need to find the ratio between total mountains in A and the difference between mountains and beaches in C:

$Ratio = \frac{150}{90} = \frac{5}{3}$

Hence, the required ratio is 5:3.