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The price of petrol increased by 60% in the last one month but Mohit only wishes to increase his expenditure on petrol by 24%. By what percentage will Mohit need to change his consumption?
  • a)
    22.5 % decrease in consumption
  • b)
    25.5 % decrease in consumption
  • c)
    18.5% decrease in consumption
  • d)
    20% decrease in consumption
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The price of petrol increased by 60% in the last one month but Mohit ...
The Solution is as follows:

Given:
- The price of petrol increased by 60% in the last one month.
- Mohit wishes to increase his expenditure on petrol by 24%.

To find:
- By what percentage will Mohit need to change his consumption?

Assumption:
- We assume that the total expenditure on petrol is directly proportional to the consumption of petrol.

Calculation:

Let's assume the initial price of petrol per unit is 'P' and the initial consumption by Mohit is 'C'.

1. Increase in price:
- The price of petrol increased by 60%, so the new price per unit will be (P + 0.6P) = 1.6P.

2. Increase in expenditure:
- Mohit wishes to increase his expenditure on petrol by 24%.
- Let's assume his initial expenditure was 'E'.
- So, the new expenditure will be (E + 0.24E) = 1.24E.

3. Relationship between expenditure and consumption:
- We assume that the expenditure is directly proportional to the consumption of petrol.
- So, we can write the equation as E = kC, where 'k' is the constant of proportionality.

4. From the above equation, we can find the value of 'k':
- Initially, E = kC.
- After the increase in expenditure, 1.24E = kC.

5. Calculate the value of 'k':
- Divide the two equations obtained in step 4: (1.24E)/(E) = (kC)/(kC).
- We get 1.24 = 1C/C.
- Simplifying, we get C = 1.24C.

6. Calculate the change in consumption:
- The change in consumption can be calculated as (1.24C - C)/C * 100%.
- Simplifying, we get (0.24C/C) * 100% = 24%.

7. Conclusion:
- Mohit needs to decrease his consumption by 24% in order to increase his expenditure on petrol by 24%.

Answer:
- Option (A) 22.5% decrease in consumption.
Free Test
Community Answer
The price of petrol increased by 60% in the last one month but Mohit ...
Assuming initial price of petrol to be Rs. 10 per litre.
Let the initial consumption = 10 litre.
Initial expense = Rs. 100
Increase price = Rs. 16
Increased expenditure = 100 x 1.24 = Rs. 124
New consumption possible = 7.75 litre
Decrease in consumption = 2.25 Kg
% change = 22.5%
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The price of petrol increased by 60% in the last one month but Mohit only wishes to increase his expenditure on petrol by 24%. By what percentage will Mohit need to change his consumption?a)22.5 % decrease in consumptionb)25.5 % decrease in consumptionc)18.5% decrease in consumptiond)20% decrease in consumptionCorrect answer is option 'A'. Can you explain this answer?
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