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

Show Answer

Correct Answer :

Option A

5:3

Solution :

The correct answer is 5:3.

Step-by-step Explanation:

1. Extract data from the bar graph:
By analyzing the bar graph, the grid lines are divided into intervals of 10 units between the major markings (0, 50, 100, 150). Looking at the heights of the bars for the relevant countries:
- The number of beaches in Country A is 100 (exactly at the 100 grid line).
- The number of beaches in Country C is 120 (two grid lines above the 100 grid line).

2. Calculate the number of mountains in Country A:
The table states that the percentage of mountains out of the total beaches and mountains together in Country A is 60%.
This means that beaches make up the remaining percentage of the total:
$100 % - 60 % = 40 %$
Let the total number of beaches and mountains together in Country A be $T_{A}$ . Since the number of beaches in Country A is 100:
$40 % of T_{A} = 100$
$T_{A} = \frac{100}{0.40} = 250$
Now, find the number of mountains in Country A:
$Mountains in A = 250 - 100 = 150$

3. Calculate the number of mountains in Country C:
The table states that the percentage of mountains in Country C is 20%.
This means that beaches make up:
$100 % - 20 % = 80 %$
Let the total number of beaches and mountains together in Country C be $T_{C}$ . Since the number of beaches in Country C is 120:
$80 % of T_{C} = 120$
$T_{C} = \frac{120}{0.80} = 150$
Now, find the number of mountains in Country C:
$Mountains in C = 150 - 120 = 30$

4. Calculate the difference between the number of mountains and beaches in Country C:
The difference between the number of beaches and mountains in Country C is:
$Difference = 120 - 30 = 90$

5. Find the required ratio:
We need to find the ratio between the total number of mountains in A and the difference between the number of mountains and beaches in C:
$Ratio = 150 : 90$
Simplifying by dividing both sides by their greatest common divisor, 30:
$Ratio = 5 : 3$