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The cost of Jowar increased by 12%. How much percent its consumption also be increased such that the expenditure on it’s raised by 40%.Options28%30%24%25%

Question

The cost of Jowar increased by 12%. How much percent its consumption also be increased such that the expenditure on it’s raised by 40%.Options28%30%24%25%

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Solution 1

Let's solve this step by step:

  1. Let's assume the initial cost of Jowar is Rs.100 and its consumption is 1 kg. So, the total expenditure is Rs.100.

  2. Now, the cost of Jowar increased by 12%. So, the new cost is Rs.112 per kg.

  3. The question says that the expenditure on Jowar is raised by 40%. So, the new expenditure is Rs.140.

  4. Now, we need to find out how much kg of Jowar can be bought for Rs.140 at the new cost of Rs.112 per kg.

  5. So, the new consumption = 140 / 112 = 1.25 kg.

  6. Therefore, the consumption of Jowar has increased by 0.25 kg, which is a 25% increase from the initial consumption of 1 kg.

So, the answer is 25%.

This problem has been solved

Solution 2

The problem can be solved using the formula for expenditure which is Expenditure = Price * Consumption.

Given that the price of Jowar increased by 12%, let's denote the original price as P and the new price as P1. So, P1 = P + 0.12P = 1.12P.

The expenditure on Jowar is increased by 40%, let's denote the original expenditure as E and the new expenditure as E1. So, E1 = E + 0.40E = 1.40E.

We know that E = P * C, where C is the original consumption. So, E1 = P1 * C1, where C1 is the new consumption.

Substituting the values, we get 1.40E = 1.12P * C1.

Substituting E = P * C in the above equation, we get 1.40P * C = 1.12P * C1.

Solving for C1, we get C1 = 1.40/1.12 * C = 1.25C.

So, the consumption of Jowar should be increased by 25% to raise the expenditure on it by 40%.

Therefore, the correct option is 25%.

This problem has been solved

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