Question Details

Read the following passage and answer the question.

The following table – 1 shows the percentage (%) distribution of patients of various diseases in the various continents, namely, Europe, Australia, South America, Africa, North America and Asia in the world and table II shows the percentage (%) distribution of all the patients and Kidney patients in year 2023. Total population of the world in the year 2023 is 800 crore and 10% of them are patients.


Based on the data in the tables, answer the questions that follow.


Table – I: Disease – wise Percentage of Patients in the world

Heart Disease
AIDS
TB
Hepatitis
Kidney Disease
Others
22% 10% 8% 6% 30% 24%

Table -II: Continent – wise Details of all Patients and Kidney Patients

Continent
Percentage Distribution of
All Patients
Kidney Patients
Europe
10% 10%
Australia
6% 5%
South America
15% 40%
Africa
25% 10%
North America
12% 15%
Asia
32% 20%

If the number of hepatitis patients in the world increases by 6% and that of heart disease increases by 22%, then what will be the new ratio of number of hepatitis patients to the number of heart disease patients in the world?

Options

A

156:673

B

14:61

C

159:671

D

2:11

Show Answer

Correct Answer :

Option C

159:671

Solution :

The correct answer is 159 : 671.

Let us work through this step by step using the data from the two tables provided.

Step 1: Find the total number of patients in the world.

Total world population = 800 crore
Patients = 10% of 800 crore

Total Patients = 10100 × 800 = 80 crore

Step 2: Find the original number of Hepatitis patients.

From Table I, Hepatitis = 6% of all patients.

Hepatitis Patients = 6100 × 80 = 4.8 crore

Step 3: Find the original number of Heart Disease patients.

From Table I, Heart Disease = 22% of all patients.

Heart Disease Patients = 22100 × 80 = 17.6 crore

Step 4: Apply the given increases.

Hepatitis patients increase by 6%:

New Hepatitis = 4.8 × 106100 = 4.8 × 1.06 = 5.088 crore

Heart Disease patients increase by 22%:

New Heart Disease = 17.6 × 122100 = 17.6 × 1.22 = 21.472 crore

Step 5: Form and simplify the new ratio.

Ratio = 5.088 : 21.472

Multiply both terms by 1000 to eliminate decimals:

= 5088 : 21472

Now divide both by their GCD, which is 32:

508832 = 159 , 2147232 = 671

New Ratio (Hepatitis : Heart Disease) = 159 : 671

Therefore, the new ratio of hepatitis patients to heart disease patients is 159 : 671.

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