The ratio of fold to block mountains in D is 3:5 respectively. If the number of fold mountains in A is one-fifth that of in D, then the block mountains in A is what percentage of the total number of fold mountains in A and D together (approx.)?(Note: Mountains are either fold or block)

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%

The correct answer is 39%.

Step-by-step Explanation:

Step 1: Calculate the total number of mountains in Country D

From the given bar graph, the total number of beaches in Country D is 150.

From the table, the percentage of mountains out of the total number of beaches and mountains together in Country D is 80%.

Therefore, the percentage of beaches in Country D out of the total (beaches + mountains) is:

$100\%-80\%=20\%$

Since 20% of the total (beaches + mountains) in Country D corresponds to 150 beaches, we can calculate the total count of beaches and mountains in Country D as follows:

$\text{Total (Beaches + Mountains) in D}=\frac{150}{0.20}=750$

Now, calculating the total number of mountains in Country D:

$\text{Total Mountains in D}=750-150=600$

Step 2: Find the fold and block mountains in Country D

The ratio of fold to block mountains in Country D is given as 3 : 5 respectively.

Total ratio parts = 3 + 5 = 8 parts.

The number of fold mountains in Country D is:

$\text{Fold mountains in D}=\frac{3}{8}\times 600=225$

The number of block mountains in Country D is:

$\text{Block mountains in D}=\frac{5}{8}\times 600=375$

Step 3: Calculate the total number of mountains in Country A

From the bar graph, the number of beaches in Country A is 100.

From the table, the percentage of mountains out of total beaches and mountains together in Country A is 60%.

Thus, the percentage of beaches in Country A is:

$100\%-60\%=40\%$

The total number of beaches and mountains in Country A is:

$\text{Total (Beaches + Mountains) in A}=\frac{100}{0.40}=250$

Now, calculating the total number of mountains in Country A:

$\text{Total Mountains in A}=250-100=150$

Step 4: Find the fold and block mountains in Country A

Given that the number of fold mountains in A is one-fifth of that in D:

$\text{Fold mountains in A}=\frac{1}{5}\times 225=45$

Since all mountains are either fold or block, the block mountains in Country A is:

$\text{Block mountains in A}=150-45=105$

Step 5: Calculate the required percentage

The total number of fold mountains in A and D together is:

$\text{Total fold mountains (A + D)}=45+225=270$

Now, calculate what percentage the block mountains in A are of the total fold mountains in A and D together:

$\text{Percentage}=\left(\frac{105}{270}\right)\times 100=\frac{700}{18}\approx 38.89\%\approx 39\%$

Hence, the block mountains in Country A are approximately 39% of the total fold mountains in A and D together.