The price of pulses has increased by 45%. By what percentage (rounded off to the nearest integer) the increased price of the pulses should be reduced so that the price of the pulses remains unaltered?

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 04 Jul, 2024 Shift 3)

Answer 1

Given:

The price of pulses increased by 45%.

Formula used:

To find the required percentage decrease to return to the original price:

Let the original price be 100 units.

New price after 45% increase = 100 + 45 = 145 units.

Required percentage decrease = \(\frac{(New Price - Original Price)}{New Price} \times 100\)

Calculation:

Required percentage decrease = \(\frac{(145 - 100)}{145} \times 100\)

⇒ \(\frac{45}{145} \times 100\)

⇒ \(\frac{45 \times 100}{145}\)

⇒ 31.0345%

⇒ Rounded off to the nearest integer: 31%

∴ The correct answer is option (4).

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