Multiple Choice Questions on A shopkeeper mixes two qualities of rice which cost him Rs40 per kg and Rs47 50 per kg respectively ........... for SSC CHSL Preparation

Profit and loss

Quantitative Aptitude (CHSL)

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    A shopkeeper mixes two qualities of rice, which cost him Rs40 per kg and Rs47.50 per kg respectively, in such a way that he has

    15 kg of the blended rice costing him a total of Rs645. What is the weight (in kg) of the rice that cost him Rs47.50 per kg?

    This questions was previously asked in
    SSC CHSL 30th May 2022 Shift-2

    5

    Incorrect Answer

    6

    Correct Answer

    10

    Incorrect Answer

    9

    Incorrect Answer
    Explanation:

    - Let's determine how much of each type of rice is mixed.

    - Let "x" be the weight in kg of the Rs40 per kg rice.

    - Let "y" be the weight in kg of the Rs47.50 per kg rice.

    - The total weight of the rice blend is given as 15 kg:

    \[ x + y = 15 \]

    - The total cost of the blended rice is Rs645:

    \[ 40x + 47.5y = 645 \]

    - Solving these equations:

    - From \( x + y = 15 \), we get \( x = 15 - y \).

    - Substituting in the cost equation:

    \[ 40(15 - y) + 47.5y = 645 \]

    - Simplifying gives \( 600 - 40y + 47.5y = 645 \).

    - Which simplifies to \( 7.5y = 45 \).

    - Thus, \( y = 6 \) kg, which is the weight of the Rs47.50 per kg rice.

    - Option:2, 6 is the correct answer .

    - .


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