(2) Form a two digit number whose unit’s place is ‘r’ and ten’s place is solve​

(2) Form a two digit number whose unit’s place is ‘r’ and ten’s place is solve​

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  1. Step-by-step explanation:

    Answer:

    Given :-

    25 men working 8 hours a day produce 200 toys in 10 days.

    1000 toys will be produce by 100 men in 10 hours a day.

    To Find :-

    In how many days 1000 toys will be produce by 100 men, if they work 10 hours a day.

    Solution :-

    {\small{\bold{\purple{\underline{In\: the\: {1}^{{st}}\: case\: :-}}}}}

    Inthe1

    st

    case:−

    Given :

    Total number of men = 25

    Total number of toys = 200

    Total time taken = 8 × 10 = 80 hours

    {\small{\bold{\purple{\underline{In\: the\: {2}^{{nd}}\: case\: :-}}}}}

    Inthe2

    nd

    case:−

    Given :

    Total number of men = 100

    Total number of toys = 1000

    Total time taken = 10D hours

    Now, according to the question :

    \begin{gathered} \implies \sf 25 \times 200 \times 80 =\: 100 \times 1000 \times 10D\\\end{gathered}

    ⟹25×200×80=100×1000×10D

    \begin{gathered} \implies \sf 5000 \times 80 =\: 100000 \times 10D\\\end{gathered}

    ⟹5000×80=100000×10D

    \implies \sf 400000 =\: 1000000D⟹400000=1000000D

    \implies \sf \dfrac{40000\cancel{0}}{100000\cancel{0}} =\: D⟹

    100000

    0

    40000

    0

    =D

    \implies \sf \dfrac{4000\cancel{0}}{10000\cancel{0}} =\: D⟹

    10000

    0

    4000

    0

    =D

    \implies \sf \dfrac{400\cancel{0}}{1000\cancel{0}} =\: D⟹

    1000

    0

    400

    0

    =D

    \implies \sf \dfrac{40\cancel{0}}{100\cancel{0}} =\: D⟹

    100

    0

    40

    0

    =D

    \implies \sf \dfrac{4\cancel{0}}{10\cancel{0}} =\: D⟹

    10

    0

    4

    0

    =D

    \implies \sf \dfrac{\cancel{4}}{\cancel{10}} =\: D⟹

    10

    4

    =D

    \implies \sf \dfrac{2}{5} =\: D⟹

    5

    2

    =D

    \implies \sf\bold{\purple{D =\: \dfrac{2}{5}\: days}}⟹D=

    5

    2

    days

    Hence, the required day is :

    \dashrightarrow \sf Total\: time\: taken =\: {\cancel{10}} \times \dfrac{2}{\cancel{5}}⇢Totaltimetaken=

    10

    ×

    5

    2

    \dashrightarrow \sf Total\: time\: taken =\: 2 \times 2⇢Totaltimetaken=2×2

    \dashrightarrow \sf\bold{\red{Total\: time\: taken\: =\: 4\: days}}⇢Totaltimetaken=4days

    \therefore∴ In 2/5 days 1000 toys will be produce by 100 men, if they work 10 hours a day.

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