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%.
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%.
Solution
The question seems to be asking for the percentage increase in consumption of Jowar, given that the cost has increased by 12% and the total expenditure has increased by 40%. However, the question seems to be logically incorrect. If the cost of Jowar increases by 12%, and the expenditure on it increases by 40%, it means that the consumption of Jowar has to decrease, not increase.
Here's why:
Let's assume the initial cost of Jowar is 1.
Now, the cost of Jowar has increased by 12%, so the new cost is $1.12 per kg.
If your expenditure has increased by 40%, it means you are now spending $1.40.
So, the new quantity of Jowar you can buy with 1.12 per kg is 1.40/1.12 = 1.25 kg.
This means your consumption has actually increased by 25%, not decreased.
So, the question seems to be incorrect. If the cost of Jowar increases and you want your expenditure to also increase, you would have to decrease your consumption, not increase it.
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