Unitary Method


  1. If 10 spiders can catch 10 files in 10 min, then how many flies can 200 spiders catch in 200 min ?









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    Let the required number of flies be N.
    More spiders, More flies (Direct proportion)
    More time, More flies (Direct proportion)

    Correct Option: C

    Let the required number of flies be N.
    More spiders, More flies (Direct proportion)
    More time, More flies (Direct proportion)
    ∴ 10 x 10 x N = 200 x 200 x 10
    ∴ N = (200 x 200 x 10)/(10 x 10) = 4000 flies


  1. If 12 persons working 16 h per day earn ₹ 33600 per week, then how much will 18 persons earn working 12 h per day ?









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    M1 = 12 H1 = 16, W1 = 33600
    M2 = 18, H2 = 12, W2 = ?
    By formula, M1H1/W1 = M2H2/W2
    (12 x 16)/33600 = (18 x 12)/W2
    ⇒ W2 = (33600 x 18)/16

    Correct Option: D

    M1 = 12 H1 = 16, W1 = 33600
    M2 = 18, H2 = 12, W2 = ?
    By formula, M1H1/W1 = M2H2/W2
    (12 x 16)/33600 = (18 x 12)/W2
    ⇒ W2 = (33600 x 18)/16
    ⇒ W2 = 2100 x 8
    ∴ W2 = 37800



  1. A garrison of 1000 men had provisions for 48 days. However, a reinforcement of 600 men arrived. How long will now food last for ?









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    ∵ For 1000 men, provision lasts for 48 days.
    ∴ For 1 men, provision lasts for (48 x 1000) days.
    ∴ For (1000 + 600) men, provision will last for (48 x 1000)/1600 days.

    Correct Option: B

    ∵ For 1000 men, provision lasts for 48 days.
    ∴ For 1 men, provision lasts for (48 x 1000) days.
    ∴ For (1000 + 600) men, provision will last for (48 x 1000)/1600 days.
    ∴ Required number of days = (48 x 1000)/1600 = 3 x 10 = 30


  1. If 30 men working 9 h per day can reap a field in 16 days, in how many days, will 36 men reap the field working 8 h per day ?









  1. View Hint View Answer Discuss in Forum

    Here M1 = 30, D1 = 16,
    T1 = 9, M2 = 36 and T2 = 8
    By formula, M1D1T1 = M2D2T2

    Correct Option: A

    Here M1 = 30, D1 = 16,
    T1 = 9, M2 = 36 and T2 = 8
    By formula, M1D1T1 = M2D2T2
    30 x 16 x 9 = 36 x D2 x 8
    ∴ D2 = (30 x 16 x 9)/(36 x 8) = 15 days



  1. 22 men can complete a job in 16 days. In how many days, will 32 men complete that job ?









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    ∵ 22 men do the work in 16 days.
    ∴ 1 man will do the work in 16 x 22 days.

    Correct Option: D

    ∵ 22 men do the work in 16 days.
    ∴ 1 man will do the work in 16 x 22 days.
    ∴ 32 men will do the job in = (16 x 22)/32 days
    ∴ Required number of days = (16 x 22)/32 = 11 days