SSC GD Constable 5 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 42 of 80

Marks: +1, -0

The price of fuel decreases by 55%, 10% and 20% in three successive months, but increases by 65% in the fourth month. What is the percentage increase/decrease in the price of fuel in the fourth month as compared to its original price?

Increases by 48.43%
Decreases by 46.54%
Increases by 51.62%
Decreases by 50.53%

Validate

Solution:

To find the percentage change in price, we use the successive percentage change formula:

\;\text " Final Price "\;=\;\text " Initial Price "\; ×(1-\;\text " Decrease "\; 1) ×(1-\;\text " Decrease "\; 2) ×(1-\;\text " Decrease "\; 3) ×(1+\;\text " Increase "\;)

Let the initial price be 100 units.
After 55\% decrease:

⇒ 100 ×(1-0.55)=100 × 0.45=45

After 10\% decrease:

⇒ 45 ×(1-0.10)=45 × 0.90=40.5

After 20\% decrease:

⇒ 40.5 ×(1-0.20)=40.5 × 0.80=32.4

After 65\% increase:

⇒ 32.4 ×(1+0.65)=32.4 × 1.65=53.46

Percentage change in price from the original:
⇒ Percentage change

=((53.46-100) \/ 100) × 100

⇒ Percentage change

=(-46.54 \%)

i.e. Decreases by

46.54 \%

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