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

Correct Answer :

159:671

Solution :

The correct option is 159:671.

Here is the detailed step-by-step explanation showing why this answer is correct:

Step 1: Understand the initial patient distribution
From Table-I (Disease-wise Percentage of Patients in the world):
- Hepatitis patients = 6% of the total patients in the world.
- Heart Disease patients = 22% of the total patients in the world.
Let the total number of patients in the world be represented by the variable P (where P=10% of 800 crore = 80 crore).

Thus, we can write the initial number of patients as:
- Initial Hepatitis patients = 6% of P=0.06P
- Initial Heart Disease patients = 22% of P=0.22P

Step 2: Calculate the new number of patients after the increases
The number of Hepatitis patients increases by 6%:

New Hepatitis Patients=0.06P×(1+6100)=0.06P×1.06=0.0636P

The number of Heart Disease patients increases by 22%:

New Heart Disease Patients=0.22P×(1+22100)=0.22P×1.22=0.2684P

Step 3: Find the new ratio of Hepatitis patients to Heart Disease patients
Now, we calculate the ratio of the new number of Hepatitis patients to the new number of Heart Disease patients:

New Ratio=0.0636P0.2684P=0.06360.2684=6362684

To simplify the fraction, we divide both the numerator and the denominator by their common factor, which is 4:

636/42684/4=159671

Therefore, the new ratio of Hepatitis patients to Heart Disease patients is 159:671.

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