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
    • 13
      :
      6
    • and
    • 1
      :
      9
  • (i)
    13
    :
    54
  • (ii)
    14
    :
    54
  • (iii)
    12
    :
    54
  • (iv)
    13
    :
    57
  • (v)
    13
    :
    52
Question 2
2.
    • Find the compounded ratio of
    •  
    • o
    • :
    • l
    • and
    • e
    • :
    • z
  • (i)
    e : ol
  • (ii)
    l : ez
  • (iii)
    o
    e
    :
    l
    z
  • (iv)
    ze : ol
  • (v)
    ol : ez
Question 3
3.
Mallika and Arun started a business with capitals of ₹18000.00 and ₹5000.00 respectively and made a profit of ₹34500.00 at the end of the year. Find the share of each.
  • (i)
    Mallika's share = ₹24437.50, Arun's share = ₹10062.50
  • (ii)
    Mallika's share = ₹24000.00, Arun's share = ₹10500.00
  • (iii)
    Mallika's share = ₹27000.00, Arun's share = ₹7500.00
  • (iv)
    Mallika's share = ₹28500.00, Arun's share = ₹6000.00
  • (v)
    Mallika's share = ₹30000.00, Arun's share = ₹4500.00
Question 4
4.
Aruna started a business with a capital of ₹20000.00 and Simran joined her sometime later with a capital of ₹16000.00. Out of the total annual profit of ₹12800.00, if Aruna's share is ₹12000.00, when did Simran join as partner?
  • (i)
    Simran joined as partner after 2 months
  • (ii)
    Simran joined as partner after 4 months
  • (iii)
    Simran joined as partner after 3 months
  • (iv)
    Simran joined as partner after 10 months
  • (v)
    Simran joined as partner after 11 months
Question 5
5.
Arun and Parvathi started a business with a total investment of ₹33000.00. If the total profit of ₹19800.00 is divided equally instead of dividing in the ratio of their investments, Arun gets ₹2100.00 more . What is the share of each partner?
  • (i)
    ₹13400.00, ₹19600.00
  • (ii)
    ₹13200.00, ₹19800.00
  • (iii)
    ₹13300.00, ₹19700.00
  • (iv)
    ₹13000.00, ₹20000.00
  • (v)
    ₹13100.00, ₹19900.00
Question 6
6.
Kumar and Vikram started a business with a total investment of ₹39000.00. Out of the total profit of ₹234000.00 at the end of the year, keeping ₹140400.00 for managing the business, the balance is divided in the ratio of their investments. If Vikram gets ₹2400.00 less than Kumar, find their investments.
  • (i)
    ₹20300.00, ₹18700.00
  • (ii)
    ₹20400.00, ₹18600.00
  • (iii)
    ₹20000.00, ₹19000.00
  • (iv)
    ₹20200.00, ₹18800.00
  • (v)
    ₹20100.00, ₹18900.00
Question 7
7.
Rizvana and Karthik started a business with equal capital. But Karthik withdrew from the business at the end of 9 months. If at the end of the year, they made a profit of ₹11900.00, find the share of each.
  • (i)
    Rizvana's share = ₹10200.00, Karthik's share = ₹1700.00
  • (ii)
    Rizvana's share = ₹7140.00, Karthik's share = ₹4760.00
  • (iii)
    Rizvana's share = ₹10984.62, Karthik's share = ₹915.38
  • (iv)
    Rizvana's share = ₹6208.70, Karthik's share = ₹5691.30
  • (v)
    Rizvana's share = ₹6800.00, Karthik's share = ₹5100.00
Question 8
8.
    • Vinay started a business. After some time Kavish joined him.
    • The ratio of their investments is
    • 1
      :
      6
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Kavish
    •  
    • joined the business.
  • (i)
    1 months later
  • (ii)
    9 months later
  • (iii)
    3 months later
  • (iv)
    10 months later
  • (v)
    2 months later
Question 9
9.
    • Jasmine started a business. After some time Aishwarya joined her.
    • The ratio of their investments is
    • 11
      :
      18
    • . If their profits
    • at the end of the year are
    • ₹22000.00
    • and
    • ₹27000.00
    • respectively,
    • find when
    • Aishwarya
    •  
    • joined the business.
  • (i)
    3 months later
  • (ii)
    5 months later
  • (iii)
    2 months later
  • (iv)
    6 months later
  • (v)
    7 months later
Question 10
10.
The work done by (10x + 5) men in (2) days and work done by (x + 1) men in (4x) days is in the ratio of 75 : 112 . Find the value of x
  • (i)
    7
  • (ii)
    8
  • (iii)
    9
  • (iv)
    6
  • (v)
    5
Question 11
11.
    • 7
    • men can do a work in
    • 7
    • days working
    • 9
    • hours a day.
    • In how many days can
    • 13
    • men do the same work, working
    • 4
    • hours a day?
  • (i)
    8
    25

    54
    days
  • (ii)
    8
    1

    2
    days
  • (iii)
    8
    27

    52
    days
  • (iv)
    8
    25

    52
    days
  • (v)
    8
    23

    52
    days
    Assignment Key

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