If the price of petrol is increased by 28%, by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged?

(Correct to 2 decimal places)

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)
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  1. 12.35%
  2. 21.88%
  3. 20.25%
  4. 25.75%

Answer (Detailed Solution Below)

Option 2 : 21.88%
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Detailed Solution

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Given:

The price of petrol is increased by 28%

Calculation:

Let the price of petrol before the increase be Rs. 100a per 1000 ml

New price = 100a × 128%

⇒ Rs. 128a

Now,

If the consumer wants to maintain the expenditure as before he will still buy petrol for Rs. 100a

Now,

In Rs. 100a he will get = (1000/128a) × 100a

⇒ 781.25 ml

Consumption decrease = 1000 ml - 781.25 ml

⇒ 218.75

% decrease = (218.75/1000) × 100

⇒ 21.875 ≈ 21.88%

∴ The required answer is 21.88%.

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