High School

We appreciate your visit to A shopkeeper has 200 kg of rice 40 of which is type A and the remaining is type B A customer buys 30 of type. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A shopkeeper has 200 kg of rice, 40% of which is type A, and the remaining is type B. A customer buys 30% of type A rice and 40% of type B rice. What quantity of total rice is left with the shopkeeper?

A. 128 kg
B. 125 kg
C. 132 kg
D. 136 kg

Answer :

Let's solve the problem step by step.

  1. 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]

  2. 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]

  3. 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]

  4. 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.

Thanks for taking the time to read A shopkeeper has 200 kg of rice 40 of which is type A and the remaining is type B A customer buys 30 of type. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada