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
    • 7
      :
      12
    • and
    • 16
      :
      14
  • (i)
    112
    :
    170
  • (ii)
    111
    :
    168
  • (iii)
    113
    :
    168
  • (iv)
    112
    :
    168
  • (v)
    112
    :
    165
Question 2
2.
    • Find the compounded ratio of
    •  
    • i
    • :
    • q
    • and
    • v
    • :
    • k
  • (i)
    i
    v
    :
    q
    k
  • (ii)
    iq : vk
  • (iii)
    v : iq
  • (iv)
    kv : iq
  • (v)
    q : vk
Question 3
3.
Anil and Mumtaz started a business with capitals of ₹9000.00 and ₹11000.00 respectively and made a profit of ₹10000.00 at the end of the year. Find the share of each.
  • (i)
    Anil's share = ₹5000.00, Mumtaz's share = ₹5000.00
  • (ii)
    Anil's share = ₹3500.00, Mumtaz's share = ₹6500.00
  • (iii)
    Anil's share = ₹5500.00, Mumtaz's share = ₹4500.00
  • (iv)
    Anil's share = ₹3809.52, Mumtaz's share = ₹6190.48
  • (v)
    Anil's share = ₹4500.00, Mumtaz's share = ₹5500.00
Question 4
4.
Rita started a business with a capital of ₹5000.00 and Jasmine joined her sometime later with a capital of ₹11000.00. Out of the total annual profit of ₹27400.00, if Rita's share is ₹12000.00, when did Jasmine join as partner?
  • (i)
    Jasmine joined as partner after 8 months
  • (ii)
    Jasmine joined as partner after 5 months
  • (iii)
    Jasmine joined as partner after 9 months
  • (iv)
    Jasmine joined as partner after 4 months
  • (v)
    Jasmine joined as partner after 7 months
Question 5
5.
Parvathi and Srinivas started a business with a total investment of ₹37000.00. If the total profit of ₹37000.00 is divided equally instead of dividing in the ratio of their investments, Parvathi gets ₹500.00 more . What is the share of each partner?
  • (i)
    ₹18200.00, ₹18800.00
  • (ii)
    ₹18400.00, ₹18600.00
  • (iii)
    ₹18000.00, ₹19000.00
  • (iv)
    ₹18300.00, ₹18700.00
  • (v)
    ₹18100.00, ₹18900.00
Question 6
6.
Ankitha and Praveen started a business with a total investment of ₹21000.00. Out of the total profit of ₹91000.00 at the end of the year, keeping ₹27300.00 for managing the business, the balance is divided in the ratio of their investments. If Praveen gets ₹9100.00 more than Ankitha, find their investments.
  • (i)
    ₹9400.00, ₹11600.00
  • (ii)
    ₹9100.00, ₹11900.00
  • (iii)
    ₹9200.00, ₹11800.00
  • (iv)
    ₹9000.00, ₹12000.00
  • (v)
    ₹9300.00, ₹11700.00
Question 7
7.
Mumtaz and Karishma started a business with equal capital. But Karishma withdrew from the business at the end of 7 months. If at the end of the year, they made a profit of ₹38000.00, find the share of each.
  • (i)
    Mumtaz's share = ₹24000.00, Karishma's share = ₹14000.00
  • (ii)
    Mumtaz's share = ₹19826.09, Karishma's share = ₹18173.91
  • (iii)
    Mumtaz's share = ₹25333.33, Karishma's share = ₹12666.67
  • (iv)
    Mumtaz's share = ₹21714.29, Karishma's share = ₹16285.71
  • (v)
    Mumtaz's share = ₹20727.27, Karishma's share = ₹17272.73
Question 8
8.
    • Mahender started a business. After some time Laxman joined him.
    • The ratio of their investments is
    • 2
      :
      3
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Laxman
    •  
    • joined the business.
  • (i)
    6 months later
  • (ii)
    4 months later
  • (iii)
    3 months later
  • (iv)
    7 months later
  • (v)
    8 months later
Question 9
9.
    • Sarojini started a business. After some time Kareena joined her.
    • The ratio of their investments is
    • 5
      :
      13
    • . If their profits
    • at the end of the year are
    • ₹14000.00
    • and
    • ₹18200.00
    • respectively,
    • find when
    • Kareena
    •  
    • 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 (x + 1) men in (15x) days and work done by (10x + 1) men in (2x + 1) days is in the ratio of 6 : 7 . Find the value of x
  • (i)
    3
  • (ii)
    5
  • (iii)
    0
  • (iv)
    2
  • (v)
    1
Question 11
11.
    • 13
    • men can do a work in
    • 9
    • days working
    • 5
    • hours a day.
    • In how many days can
    • 7
    • men do the same work, working
    • 9
    • hours a day?
  • (i)
    9
    days
  • (ii)
    9
    2

    7
    days
  • (iii)
    9
    2

    9
    days
  • (iv)
    9
    4

    7
    days
  • (v)
    9
    2

    5
    days
    Assignment Key

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