Unitary Method


  1. A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 25 % of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each person now working 9 hours a day.









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    According to question ,

    Correct Option: D

    According to question ,


  1. In a garrison, there was food for 1000 soldiers for one month. After 10 days 1000 more soldiers joined the garrison How long would the soldiers be able to carry on with the remaining food ?









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    Let us assume that each soldier eats one unit of food per day. Thus, total units of food at the beginning will be 1000 x 30 = 30000.
    After 10 days 1000 soldiers would have eaten 1000 x 10 = 10000 units of food. Thus food left after 10 days equals 20000 units.

    Correct Option: D

    Let us assume that each soldier eats one unit of food per day. Thus, total units of food at the beginning will be 1000 x 30 = 30000.
    After 10 days 1000 soldiers would have eaten 1000 x 10 = 10000 units of food. Thus food left after 10 days equals 20000 units. Now, there are total of 2000 soldiers who eat one unit of food every day. So, the number of days that 20000 units of food will serve 2000 soldiers is 20000/2000 = 10



  1. 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?









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    3 pumps, can empty a tank in 2 days by working 8 hours a day.
    1 pumps, can empty a tank in 2 days by working 8 x 3 hours a day.
    1 pumps, can empty a tank in 1 days by working 8 x 3 x 2hours a day.

    Correct Option: B

    3 pumps, can empty a tank in 2 days by working 8 hours a day.
    1 pumps, can empty a tank in 2 days by working 8 x 3 hours a day.
    1 pumps, can empty a tank in 1 days by working 8 x 3 x 2hours a day.
    4 pumps, can empty a tank in 1 days by working 8 x 3 x 2 / 4 hours a day.
    4 pumps, can empty a tank in 1 days by working 2 x 3 x 2 hours a day.
    4 pumps, can empty a tank in 1 days by working 12 hours a day.


  1. Cost of 1 chair is Rs. 214 and cost of one table is Rs. 937, then what is the approximate cost of 6 dozen chairs and 4 dozen tables?









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    Here , Cost of 1 chair = Rs. 214 and cost of one table = Rs. 937 .
    ∵ Cost of 6 dozen chairs = 6 × 12 × 214 = Rs. 15408
    and cost of 4 dozen tables = 4 × 12 × 937 = Rs. 44976
    ∴ Total cost = 15408 + 44976
    Total cost = Rs. 15408 + 44976 = Rs. 60384

    Correct Option: A

    Here , Cost of 1 chair = Rs. 214 and cost of one table = Rs. 937 .
    ∵ Cost of 6 dozen chairs = 6 × 12 × 214 = Rs. 15408
    and cost of 4 dozen tables = 4 × 12 × 937 = Rs. 44976
    ∴ Total cost = 15408 + 44976
    Total cost = Rs. 15408 + 44976 = Rs. 60384
    Total cost of chairs and tables ≅ Rs. 60000 (Approximately)



  1. Cost of
    1
    dozen of bananas is Rs. 2·35, then what is the
    4
    approximate cost of 42 dozen of bananas ?









  1. View Hint View Answer Discuss in Forum

    As per the given question , we know that
    ∵ 1 dozen = 12

    1
    dozen =
    1
    × 12 = 3
    44

    ∵ Cost of 3 bananas = Rs. 2·35
    ⇒ Cost of 1 banana = Rs.
    2·35
    3
    ∴ Cost of 42 × 12 bananas =
    2·35 × 42 × 12
    3

    Correct Option: D

    As per the given question , we know that
    ∵ 1 dozen = 12

    1
    dozen =
    1
    × 12 = 3
    44

    ∵ Cost of 3 bananas = Rs. 2·35
    ⇒ Cost of 1 banana = Rs.
    2·35
    3
    ∴ Cost of 42 × 12 bananas =
    2·35 × 42 × 12
    3

    Cost of 42 dozen of bananas = Rs. 394·80
    Cost of 42 dozen bananas ≅ Rs. 400 (Approximately)