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
    • 12
      :
      5
    • and
    • 5
      :
      18
  • (i)
    60
    :
    93
  • (ii)
    60
    :
    87
  • (iii)
    60
    :
    90
  • (iv)
    59
    :
    90
  • (v)
    61
    :
    90
Question 2
2.
    • Find the compounded ratio of
    •  
    • z
    • :
    • n
    • and
    • k
    • :
    • t
  • (i)
    tk : zn
  • (ii)
    n : kt
  • (iii)
    k : zn
  • (iv)
    z
    k
    :
    n
    t
  • (v)
    zn : kt
Question 3
3.
Fathima and Flavia started a business with capitals of ₹9000.00 and ₹16000.00 respectively and made a profit of ₹17500.00 at the end of the year. Find the share of each.
  • (i)
    Fathima's share = ₹7700.00, Flavia's share = ₹9800.00
  • (ii)
    Fathima's share = ₹7000.00, Flavia's share = ₹10500.00
  • (iii)
    Fathima's share = ₹6300.00, Flavia's share = ₹11200.00
  • (iv)
    Fathima's share = ₹4900.00, Flavia's share = ₹12600.00
  • (v)
    Fathima's share = ₹5384.62, Flavia's share = ₹12115.38
Question 4
4.
Bharathi started a business with a capital of ₹13000.00 and Mallika joined her sometime later with a capital of ₹8000.00. Out of the total annual profit of ₹4700.00, if Bharathi's share is ₹3900.00, when did Mallika join as partner?
  • (i)
    Mallika joined as partner after 10 months
  • (ii)
    Mallika joined as partner after 1 months
  • (iii)
    Mallika joined as partner after 7 months
  • (iv)
    Mallika joined as partner after 8 months
  • (v)
    Mallika joined as partner after 11 months
Question 5
5.
Arun and Aishwarya started a business with a total investment of ₹14000.00. If the total profit of ₹10500.00 is divided equally instead of dividing in the ratio of their investments, Arun gets ₹750.00 less . What is the share of each partner?
  • (i)
    ₹8300.00, ₹5700.00
  • (ii)
    ₹8000.00, ₹6000.00
  • (iii)
    ₹8400.00, ₹5600.00
  • (iv)
    ₹8200.00, ₹5800.00
  • (v)
    ₹8100.00, ₹5900.00
Question 6
6.
Martin and Akbar started a business with a total investment of ₹14000.00. Out of the total profit of ₹35000.00 at the end of the year, keeping ₹17500.00 for managing the business, the balance is divided in the ratio of their investments. If Akbar gets ₹2500.00 more than Martin, find their investments.
  • (i)
    ₹6300.00, ₹7700.00
  • (ii)
    ₹6400.00, ₹7600.00
  • (iii)
    ₹6100.00, ₹7900.00
  • (iv)
    ₹6000.00, ₹8000.00
  • (v)
    ₹6200.00, ₹7800.00
Question 7
7.
Kaushik and Fathima started a business with equal capital. But Fathima withdrew from the business at the end of 5 months. If at the end of the year, they made a profit of ₹18700.00, find the share of each.
  • (i)
    Kaushik's share = ₹13200.00, Fathima's share = ₹5500.00
  • (ii)
    Kaushik's share = ₹11220.00, Fathima's share = ₹7480.00
  • (iii)
    Kaushik's share = ₹11810.53, Fathima's share = ₹6889.47
  • (iv)
    Kaushik's share = ₹10685.71, Fathima's share = ₹8014.29
  • (v)
    Kaushik's share = ₹14025.00, Fathima's share = ₹4675.00
Question 8
8.
    • Ravi started a business. After some time Praveen joined him.
    • The ratio of their investments is
    • 1
      :
      12
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Praveen
    •  
    • joined the business.
  • (i)
    3 months later
  • (ii)
    2 months later
  • (iii)
    4 months later
  • (iv)
    11 months later
  • (v)
    10 months later
Question 9
9.
    • Deepti started a business. After some time Geetha joined her.
    • The ratio of their investments is
    • 7
      :
      20
    • . If their profits
    • at the end of the year are
    • ₹7000.00
    • and
    • ₹10000.00
    • respectively,
    • find when
    • Geetha
    •  
    • joined the business.
  • (i)
    9 months later
  • (ii)
    10 months later
  • (iii)
    6 months later
  • (iv)
    5 months later
  • (v)
    8 months later
Question 10
10.
The work done by (2x + 1) men in (8x) days and work done by (3x + 1) men in (12x) days is in the ratio of 10 : 21 . Find the value of x
  • (i)
    1
  • (ii)
    3
  • (iii)
    0
  • (iv)
    2
  • (v)
    4
Question 11
11.
    • 8
    • men can do a work in
    • 5
    • days working
    • 6
    • hours a day.
    • In how many days can
    • 6
    • men do the same work, working
    • 6
    • hours a day?
  • (i)
    6
    2

    5
    days
  • (ii)
    8
    days
  • (iii)
    6
    days
  • (iv)
    7
    1

    3
    days
  • (v)
    6
    2

    3
    days
    Assignment Key

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