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Answer :
To find the price of rice per kilogram, we need to divide the total cost by the total weight.
Rohit bought a total of [tex]9 \frac{1}{2}[/tex] kg of rice for [tex]₹145 \frac{3}{4}[/tex].
First, let's convert these mixed numbers into improper fractions for easier calculation.
Convert [tex]9 \frac{1}{2}[/tex] kg into an improper fraction:
[tex]9 \frac{1}{2} = \frac{2 \times 9 + 1}{2} = \frac{18 + 1}{2} = \frac{19}{2}[/tex]
Convert [tex]₹145 \frac{3}{4}[/tex] into an improper fraction:
[tex]145 \frac{3}{4} = \frac{4 \times 145 + 3}{4} = \frac{580 + 3}{4} = \frac{583}{4}[/tex]
Next, find the price per kilogram by dividing the cost by the weight.
[tex]\text{Price per kg} = \frac{\frac{583}{4}}{\frac{19}{2}}[/tex]
To divide by a fraction, multiply by its reciprocal:
[tex]\text{Price per kg} = \frac{583}{4} \times \frac{2}{19} = \frac{583 \times 2}{4 \times 19}[/tex]
Simplify the expression:
[tex]\text{Price per kg} = \frac{1166}{76}[/tex]
To simplify this fraction, divide the numerator and the denominator by 2:
[tex]\text{Price per kg} = \frac{583}{38}[/tex]
Now, divide 583 by 38 to get the decimal value:
[tex]\text{Price per kg} ≈ 15.34[/tex]
Therefore, the price of rice per kg is approximately [tex]₹15.34[/tex].
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