SSC CHSL 2024 PYQ — Question 73

The correct answer is option 3 i.e. $25\frac{25}{27}$%.

Let the original price of the article be P.

The new price after a 35% increase becomes 1.35P.

Let the original consumption be C.

Let the new consumption be C′ to keep the expenditure the same.

Original Expenditure = New Expenditure

⇒ P × C = 1.35P × C′

⇒ C = 1.35 × C′

⇒ C′ = C/1.35

Percentage Reduction = $(\frac{C−C′​}{C}) ×100$

Percentage Reduction = $(1-\frac{1}{1.35})×100$

Percentage Reduction = $(\frac{0.35}{1.35})×100$

Percentage Reduction = $25\frac{25}{27}$%