Ramnagar has both Buddhist and Jain people staying there. Some follow Buddhism and some follow Jainism and some who follow both. If 55% of the people living there follow Buddhism and 52% of the people follow Jainism, calculate the percentage of people living there who follow only Jainism.
Ramnagar has both Buddhist and Jain people staying there. Some follow Buddhism and some follow Jainism and some who follow both. If 55% of the people living there follow Buddhism and 52% of the people follow Jainism, calculate the percentage of people living there who follow only Jainism. Correct Answer 45%
Given:
Buddhist = 55%
Jain = 52%
Calculation:
Total = 55% + 52%
⇒ Total = 107%
⇒ People following both = 107% – 100% = 7%
⇒ People following only Jainism = 52% – 7%
∴ people following only Jainism = 45%
Shortcut method:
Concepts and formulas:
n(A) + n(B) – n(A∩B) = n(A∪B)
Calculation:
Let people following both be x
n(Buddhist) + n(Jain) – n(Buddhist ∩ Jain) = n(Buddhist ∪ Jain)
⇒ (55% + 52%) – x = 100%
⇒ x = 107% – 100%
⇒ x = 7%
∴ People following only Jainism = 52% – 7%
Hence 45%