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Answer :
Let's solve the problem step by step.
Determine the Amount of Each Type of Rice:
- The shopkeeper has a total of 200 kg of rice.
- 40% of the rice is of type A.
[tex]\text{Type A rice} = 0.4 \times 200 = 80 \text{ kg}[/tex]
- The remaining rice is of type B.
[tex]\text{Type B rice} = 200 - 80 = 120 \text{ kg}[/tex]
Calculate How Much Rice is Sold of Each Type:
- 30% of type A rice is sold.
[tex]\text{Type A rice sold} = 0.3 \times 80 = 24 \text{ kg}[/tex]
- 40% of type B rice is sold.
[tex]\text{Type B rice sold} = 0.4 \times 120 = 48 \text{ kg}[/tex]
Determine the Quantity of Rice Left:
- Calculate the remaining quantity of each type after the sale.
[tex]\text{Remaining Type A rice} = 80 - 24 = 56 \text{ kg}[/tex]
[tex]\text{Remaining Type B rice} = 120 - 48 = 72 \text{ kg}[/tex]
Calculate the Total Rice Left:
[tex]\text{Total remaining rice} = 56 + 72 = 128 \text{ kg}[/tex]
Therefore, the total quantity of rice left with the shopkeeper is 128 kg.
The correct answer is option (a) 128 kg.
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