EduSahara™ Assignment
Name : Compound Ratio
Chapter : Comparing Quantities using Proportion
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
    • Find the compound ratio of
    • 14
      :
      16
    • and
    • 3
      :
      4
  • (i)
    41
    :
    64
  • (ii)
    42
    :
    62
  • (iii)
    42
    :
    64
  • (iv)
    42
    :
    67
  • (v)
    43
    :
    64
Question 2
2.
    • Find the compounded ratio of
    •  
    • b
    • :
    • p
    • and
    • g
    • :
    • y
  • (i)
    b
    g
    :
    p
    y
  • (ii)
    g : bp
  • (iii)
    bp : gy
  • (iv)
    yg : bp
  • (v)
    p : gy
Question 3
3.
Santosh and Praveen started a business with capitals of ₹10000.00 and ₹12000.00 respectively and made a profit of ₹14300.00 at the end of the year. Find the share of each.
  • (i)
    Santosh's share = ₹7800.00, Praveen's share = ₹6500.00
  • (ii)
    Santosh's share = ₹7150.00, Praveen's share = ₹7150.00
  • (iii)
    Santosh's share = ₹6500.00, Praveen's share = ₹7800.00
  • (iv)
    Santosh's share = ₹5200.00, Praveen's share = ₹9100.00
  • (v)
    Santosh's share = ₹5595.65, Praveen's share = ₹8704.35
Question 4
4.
Geetha started a business with a capital of ₹18000.00 and Roja joined her sometime later with a capital of ₹6000.00. Out of the total annual profit of ₹11700.00, if Geetha's share is ₹10800.00, when did Roja join as partner?
  • (i)
    Roja joined as partner after 11 months
  • (ii)
    Roja joined as partner after 9 months
  • (iii)
    Roja joined as partner after 2 months
  • (iv)
    Roja joined as partner after 8 months
  • (v)
    Roja joined as partner after 1 months
Question 5
5.
Karthik and Fathima started a business with a total investment of ₹39000.00. If the total profit of ₹31200.00 is divided equally instead of dividing in the ratio of their investments, Karthik gets ₹400.00 more . What is the share of each partner?
  • (i)
    ₹19400.00, ₹19600.00
  • (ii)
    ₹19300.00, ₹19700.00
  • (iii)
    ₹19200.00, ₹19800.00
  • (iv)
    ₹19000.00, ₹20000.00
  • (v)
    ₹19100.00, ₹19900.00
Question 6
6.
Martin and Mallika started a business with a total investment of ₹35000.00. Out of the total profit of ₹560000.00 at the end of the year, keeping ₹448000.00 for managing the business, the balance is divided in the ratio of their investments. If Mallika gets ₹3200.00 less than Martin, find their investments.
  • (i)
    ₹18100.00, ₹16900.00
  • (ii)
    ₹18400.00, ₹16600.00
  • (iii)
    ₹18200.00, ₹16800.00
  • (iv)
    ₹18000.00, ₹17000.00
  • (v)
    ₹18300.00, ₹16700.00
Question 7
7.
Akbar and Martin started a business with equal capital. But Martin withdrew from the business at the end of 6 months. If at the end of the year, they made a profit of ₹5400.00, find the share of each.
  • (i)
    Akbar's share = ₹3811.76, Martin's share = ₹1588.24
  • (ii)
    Akbar's share = ₹3085.71, Martin's share = ₹2314.29
  • (iii)
    Akbar's share = ₹3600.00, Martin's share = ₹1800.00
  • (iv)
    Akbar's share = ₹3240.00, Martin's share = ₹2160.00
  • (v)
    Akbar's share = ₹2945.45, Martin's share = ₹2454.55
Question 8
8.
    • Tarun started a business. After some time Gopal joined him.
    • The ratio of their investments is
    • 1
      :
      2
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Gopal
    •  
    • joined the business.
  • (i)
    5 months later
  • (ii)
    8 months later
  • (iii)
    10 months later
  • (iv)
    6 months later
  • (v)
    9 months later
Question 9
9.
    • Bhavani started a business. After some time Geetha joined her.
    • The ratio of their investments is
    • 8
      :
      7
    • . If their profits
    • at the end of the year are
    • ₹144000.00
    • and
    • ₹115500.00
    • respectively,
    • find when
    • Geetha
    •  
    • joined the business.
  • (i)
    1 months later
  • (ii)
    0 months later
  • (iii)
    5 months later
  • (iv)
    3 months later
  • (v)
    4 months later
Question 10
10.
The work done by (2x + 1) men in (15x) days and work done by (45x + 1) men in (x) days is in the ratio of 75 : 91 . Find the value of x
  • (i)
    3
  • (ii)
    5
  • (iii)
    1
  • (iv)
    (-1)
  • (v)
    2
Question 11
11.
    • 11
    • men can do a work in
    • 17
    • days working
    • 3
    • hours a day.
    • In how many days can
    • 12
    • men do the same work, working
    • 7
    • hours a day?
  • (i)
    6
    19

    28
    days
  • (ii)
    6
    19

    30
    days
  • (iii)
    6
    19

    26
    days
  • (iv)
    6
    17

    28
    days
  • (v)
    6
    3

    4
    days
    Assignment Key

  •  1) (iii)
  •  2) (i)
  •  3) (iii)
  •  4) (ii)
  •  5) (iv)
  •  6) (iv)
  •  7) (iii)
  •  8) (iv)
  •  9) (i)
  •  10) (v)
  •  11) (i)