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
    • 3
      :
      16
    • and
    • 7
      :
      4
  • (i)
    22
    :
    64
  • (ii)
    20
    :
    64
  • (iii)
    21
    :
    66
  • (iv)
    21
    :
    64
  • (v)
    21
    :
    61
Question 2
2.
    • Find the compounded ratio of
    •  
    • f
    • :
    • l
    • and
    • x
    • :
    • s
  • (i)
    fl : xs
  • (ii)
    f
    x
    :
    l
    s
  • (iii)
    sx : fl
  • (iv)
    x : fl
  • (v)
    l : xs
Question 3
3.
Karthik and Vimala started a business with capitals of ₹20000.00 and ₹7000.00 respectively and made a profit of ₹21600.00 at the end of the year. Find the share of each.
  • (i)
    Karthik's share = ₹14400.00, Vimala's share = ₹7200.00
  • (ii)
    Karthik's share = ₹16800.00, Vimala's share = ₹4800.00
  • (iii)
    Karthik's share = ₹17600.00, Vimala's share = ₹4000.00
  • (iv)
    Karthik's share = ₹14657.14, Vimala's share = ₹6942.86
  • (v)
    Karthik's share = ₹16000.00, Vimala's share = ₹5600.00
Question 4
4.
Teena started a business with a capital of ₹15000.00 and Santoshi joined her sometime later with a capital of ₹9000.00. Out of the total annual profit of ₹62000.00, if Teena's share is ₹40000.00, when did Santoshi join as partner?
  • (i)
    Santoshi joined as partner after 0 months
  • (ii)
    Santoshi joined as partner after 4 months
  • (iii)
    Santoshi joined as partner after 5 months
  • (iv)
    Santoshi joined as partner after 3 months
  • (v)
    Santoshi joined as partner after 1 months
Question 5
5.
Kaushik and Martin started a business with a total investment of ₹31000.00. If the total profit of ₹6200.00 is divided equally instead of dividing in the ratio of their investments, Kaushik gets ₹100.00 less . What is the share of each partner?
  • (i)
    ₹16400.00, ₹14600.00
  • (ii)
    ₹16300.00, ₹14700.00
  • (iii)
    ₹16200.00, ₹14800.00
  • (iv)
    ₹16000.00, ₹15000.00
  • (v)
    ₹16100.00, ₹14900.00
Question 6
6.
Arun and Lakshmi started a business with a total investment of ₹26000.00. Out of the total profit of ₹520000.00 at the end of the year, keeping ₹416000.00 for managing the business, the balance is divided in the ratio of their investments. If Lakshmi gets ₹16000.00 less than Arun, find their investments.
  • (i)
    ₹15200.00, ₹10800.00
  • (ii)
    ₹15000.00, ₹11000.00
  • (iii)
    ₹15300.00, ₹10700.00
  • (iv)
    ₹15100.00, ₹10900.00
  • (v)
    ₹15400.00, ₹10600.00
Question 7
7.
Mallika and Parvathi started a business with equal capital. But Parvathi withdrew from the business at the end of 5 months. If at the end of the year, they made a profit of ₹28900.00, find the share of each.
  • (i)
    Mallika's share = ₹16514.29, Parvathi's share = ₹12385.71
  • (ii)
    Mallika's share = ₹20400.00, Parvathi's share = ₹8500.00
  • (iii)
    Mallika's share = ₹17340.00, Parvathi's share = ₹11560.00
  • (iv)
    Mallika's share = ₹21675.00, Parvathi's share = ₹7225.00
  • (v)
    Mallika's share = ₹18252.63, Parvathi's share = ₹10647.37
Question 8
8.
    • Vinay started a business. After some time Rajesh joined him.
    • The ratio of their investments is
    • 3
      :
      4
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Rajesh
    •  
    • joined the business.
  • (i)
    3 months later
  • (ii)
    2 months later
  • (iii)
    5 months later
  • (iv)
    7 months later
  • (v)
    6 months later
Question 9
9.
    • Sowjanya started a business. After some time Fathima joined her.
    • The ratio of their investments is
    • 6
      :
      13
    • . If their profits
    • at the end of the year are
    • ₹54000.00
    • and
    • ₹19500.00
    • respectively,
    • find when
    • Fathima
    •  
    • joined the business.
  • (i)
    9 months later
  • (ii)
    10 months later
  • (iii)
    3 months later
  • (iv)
    1 months later
  • (v)
    2 months later
Question 10
10.
The work done by (9x + 1) men in (5x) days and work done by (45x + 1) men in (x + 1) days is in the ratio of 190 : 273 . Find the value of x
  • (i)
    2
  • (ii)
    0
  • (iii)
    3
  • (iv)
    4
  • (v)
    1
Question 11
11.
    • 9
    • men can do a work in
    • 20
    • days working
    • 9
    • hours a day.
    • In how many days can
    • 13
    • men do the same work, working
    • 5
    • hours a day?
  • (i)
    25
    1

    13
    days
  • (ii)
    25
    1

    11
    days
  • (iii)
    24
    4

    5
    days
  • (iv)
    24
    10

    13
    days
  • (v)
    24
    12

    13
    days
    Assignment Key

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