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Answer :
To determine how many kilograms of millet grain can be bought now with the same amount of money used to buy 60 kg previously, we need to understand how a percentage decrease in price affects purchasing power.
Understanding the Price Decrease:
- Originally, the price per kg is represented as [tex]P[/tex]. Let's assume, for simplicity, that the cost per kg before the price drop was [tex]P = x[/tex].
- A 24% reduction in price means a new cost per kg: [tex]P_{\text{new}} = x - 0.24x = 0.76x[/tex].
Calculate the Initial Cost for 60 kg:
- When purchasing 60 kg at the original price: [tex]\text{Cost}_{\text{original}} = 60x[/tex].
Find the New Quantity:
- With the price now at [tex]0.76x[/tex] per kg, the amount of millet grains that can be purchased with the same money is:
[tex]\text{Kilograms}_{\text{new}} = \frac{\text{Cost}_{\text{original}}}{P_{\text{new}}} = \frac{60x}{0.76x} = \frac{60}{0.76}[/tex] - This computation simplifies to:
[tex]\text{Kilograms}_{\text{new}} \approx 78.95[/tex]
- With the price now at [tex]0.76x[/tex] per kg, the amount of millet grains that can be purchased with the same money is:
Round to Nearest Whole Number and Choose the Correct Option:
- Rounding 78.95 to the nearest whole number gives us approximately 79 kg.
Therefore, with the price reduction, you can buy approximately 79 kg of millet grains. Thus, the correct answer is Option B: 79 kg.
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