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Select the correct answerThe cost of Jowar increased by 12%. How much percent its consumption also be increased such that the expenditure on it’s raised by 40%.Options25%28%30%24%

Question

Select the correct answerThe cost of Jowar increased by 12%. How much percent its consumption also be increased such that the expenditure on it’s raised by 40%.Options25%28%30%24%

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Solution

The question is asking for the percentage increase in consumption of Jowar, given that the cost of Jowar increased by 12% and the expenditure on it increased by 40%.

Let's denote the initial cost of Jowar as C, the initial consumption as Q, and the initial expenditure as E.

We know that expenditure is equal to cost times quantity, so E = C * Q.

Given that the cost of Jowar increased by 12%, the new cost is C_new = C * 1.12.

Given that the expenditure on Jowar increased by 40%, the new expenditure is E_new = E * 1.4.

We want to find the new consumption Q_new such that E_new = C_new * Q_new.

Substituting the expressions for E_new and C_new, we get:

E * 1.4 = C * 1.12 * Q_new.

Dividing both sides by E, we get:

1.4 = 1.12 * Q_new / Q.

Solving for Q_new / Q, we get:

Q_new / Q = 1.4 / 1.12 = 1.25.

So the consumption of Jowar must increase by 25% in order for the expenditure on it to increase by 40% given a 12% increase in cost.

Therefore, the correct answer is 25%.

This problem has been solved

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