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
    • 16
      :
      6
    • and
    • 7
      :
      14
  • (i)
    113
    :
    84
  • (ii)
    112
    :
    87
  • (iii)
    112
    :
    81
  • (iv)
    111
    :
    84
  • (v)
    112
    :
    84
Question 2
2.
    • Find the compounded ratio of
    •  
    • b
    • :
    • u
    • and
    • p
    • :
    • s
  • (i)
    p : bu
  • (ii)
    sp : bu
  • (iii)
    b
    p
    :
    u
    s
  • (iv)
    u : ps
  • (v)
    bu : ps
Question 3
3.
Karthik and Sai started a business with capitals of ₹9000.00 and ₹20000.00 respectively and made a profit of ₹20300.00 at the end of the year. Find the share of each.
  • (i)
    Karthik's share = ₹6300.00, Sai's share = ₹14000.00
  • (ii)
    Karthik's share = ₹7700.00, Sai's share = ₹12600.00
  • (iii)
    Karthik's share = ₹5413.33, Sai's share = ₹14886.67
  • (iv)
    Karthik's share = ₹7000.00, Sai's share = ₹13300.00
  • (v)
    Karthik's share = ₹4900.00, Sai's share = ₹15400.00
Question 4
4.
Ravali started a business with a capital of ₹9000.00 and Meena joined her sometime later with a capital of ₹16000.00. Out of the total annual profit of ₹127800.00, if Ravali's share is ₹48600.00, when did Meena join as partner?
  • (i)
    Meena joined as partner after 4 months
  • (ii)
    Meena joined as partner after 3 months
  • (iii)
    Meena joined as partner after 5 months
  • (iv)
    Meena joined as partner after 0 months
  • (v)
    Meena joined as partner after 1 months
Question 5
5.
Abhishek and Ankitha started a business with a total investment of ₹24000.00. If the total profit of ₹4800.00 is divided equally instead of dividing in the ratio of their investments, Abhishek gets ₹400.00 more . What is the share of each partner?
  • (i)
    ₹10400.00, ₹13600.00
  • (ii)
    ₹10300.00, ₹13700.00
  • (iii)
    ₹10100.00, ₹13900.00
  • (iv)
    ₹10000.00, ₹14000.00
  • (v)
    ₹10200.00, ₹13800.00
Question 6
6.
Karishma and Srinivas started a business with a total investment of ₹15000.00. Out of the total profit of ₹40000.00 at the end of the year, keeping ₹16000.00 for managing the business, the balance is divided in the ratio of their investments. If Srinivas gets ₹4800.00 more than Karishma, find their investments.
  • (i)
    ₹6200.00, ₹8800.00
  • (ii)
    ₹6300.00, ₹8700.00
  • (iii)
    ₹6400.00, ₹8600.00
  • (iv)
    ₹6100.00, ₹8900.00
  • (v)
    ₹6000.00, ₹9000.00
Question 7
7.
John and Mallika started a business with equal capital. But Mallika withdrew from the business at the end of 7 months. If at the end of the year, they made a profit of ₹26600.00, find the share of each.
  • (i)
    John's share = ₹15200.00, Mallika's share = ₹11400.00
  • (ii)
    John's share = ₹13878.26, Mallika's share = ₹12721.74
  • (iii)
    John's share = ₹16800.00, Mallika's share = ₹9800.00
  • (iv)
    John's share = ₹14509.09, Mallika's share = ₹12090.91
  • (v)
    John's share = ₹17733.33, Mallika's share = ₹8866.67
Question 8
8.
    • John started a business. After some time Anil joined him.
    • The ratio of their investments is
    • 1
      :
      2
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Anil
    •  
    • joined the business.
  • (i)
    6 months later
  • (ii)
    5 months later
  • (iii)
    9 months later
  • (iv)
    8 months later
  • (v)
    10 months later
Question 9
9.
    • Trisha started a business. After some time Bhavani joined her.
    • The ratio of their investments is
    • 3
      :
      5
    • . If their profits
    • at the end of the year are
    • ₹14400.00
    • and
    • ₹8000.00
    • respectively,
    • find when
    • Bhavani
    •  
    • joined the business.
  • (i)
    10 months later
  • (ii)
    7 months later
  • (iii)
    1 months later
  • (iv)
    11 months later
  • (v)
    8 months later
Question 10
10.
The work done by (4x) men in (3x + 1) days and work done by (3x + 2) men in (4x + 2) days is in the ratio of 60 : 77 . Find the value of x
  • (i)
    3
  • (ii)
    5
  • (iii)
    4
  • (iv)
    2
  • (v)
    0
Question 11
11.
    • 6
    • men can do a work in
    • 16
    • days working
    • 7
    • hours a day.
    • In how many days can
    • 5
    • men do the same work, working
    • 4
    • hours a day?
  • (i)
    34
    days
  • (ii)
    33
    1

    5
    days
  • (iii)
    33
    3

    7
    days
  • (iv)
    33
    3

    5
    days
    Assignment Key

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