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
    • 2
      :
      7
    • and
    • 18
      :
      4
  • (i)
    36
    :
    30
  • (ii)
    35
    :
    28
  • (iii)
    36
    :
    26
  • (iv)
    37
    :
    28
  • (v)
    36
    :
    28
Question 2
2.
    • Find the compounded ratio of
    •  
    • z
    • :
    • o
    • and
    • y
    • :
    • s
  • (i)
    y : zo
  • (ii)
    sy : zo
  • (iii)
    zo : ys
  • (iv)
    o : ys
  • (v)
    z
    y
    :
    o
    s
Question 3
3.
Kumar and Rizvana started a business with capitals of ₹9000.00 and ₹19000.00 respectively and made a profit of ₹2800.00 at the end of the year. Find the share of each.
  • (i)
    Kumar's share = ₹772.41, Rizvana's share = ₹2027.59
  • (ii)
    Kumar's share = ₹1000.00, Rizvana's share = ₹1800.00
  • (iii)
    Kumar's share = ₹900.00, Rizvana's share = ₹1900.00
  • (iv)
    Kumar's share = ₹1100.00, Rizvana's share = ₹1700.00
  • (v)
    Kumar's share = ₹700.00, Rizvana's share = ₹2100.00
Question 4
4.
Keerthi started a business with a capital of ₹14000.00 and Santoshi joined her sometime later with a capital of ₹8000.00. Out of the total annual profit of ₹7200.00, if Keerthi's share is ₹6300.00, when did Santoshi join as partner?
  • (i)
    Santoshi joined as partner after 11 months
  • (ii)
    Santoshi joined as partner after 2 months
  • (iii)
    Santoshi joined as partner after 9 months
  • (iv)
    Santoshi joined as partner after 8 months
  • (v)
    Santoshi joined as partner after 1 months
Question 5
5.
Mumtaz and Karishma started a business with a total investment of ₹26000.00. If the total profit of ₹11700.00 is divided equally instead of dividing in the ratio of their investments, Mumtaz gets ₹450.00 more . What is the share of each partner?
  • (i)
    ₹12200.00, ₹13800.00
  • (ii)
    ₹12400.00, ₹13600.00
  • (iii)
    ₹12100.00, ₹13900.00
  • (iv)
    ₹12300.00, ₹13700.00
  • (v)
    ₹12000.00, ₹14000.00
Question 6
6.
Kaushik and Karthik started a business with a total investment of ₹27000.00. Out of the total profit of ₹144000.00 at the end of the year, keeping ₹28800.00 for managing the business, the balance is divided in the ratio of their investments. If Karthik gets ₹12800.00 less than Kaushik, find their investments.
  • (i)
    ₹15100.00, ₹11900.00
  • (ii)
    ₹15200.00, ₹11800.00
  • (iii)
    ₹15300.00, ₹11700.00
  • (iv)
    ₹15400.00, ₹11600.00
  • (v)
    ₹15000.00, ₹12000.00
Question 7
7.
Parvathi and Arun started a business with equal capital. But Arun withdrew from the business at the end of 6 months. If at the end of the year, they made a profit of ₹3900.00, find the share of each.
  • (i)
    Parvathi's share = ₹2340.00, Arun's share = ₹1560.00
  • (ii)
    Parvathi's share = ₹2600.00, Arun's share = ₹1300.00
  • (iii)
    Parvathi's share = ₹2752.94, Arun's share = ₹1147.06
  • (iv)
    Parvathi's share = ₹2228.57, Arun's share = ₹1671.43
  • (v)
    Parvathi's share = ₹2127.27, Arun's share = ₹1772.73
Question 8
8.
    • Srikanth started a business. After some time Daniel joined him.
    • The ratio of their investments is
    • 1
      :
      3
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Daniel
    •  
    • joined the business.
  • (i)
    8 months later
  • (ii)
    7 months later
  • (iii)
    1 months later
  • (iv)
    10 months later
  • (v)
    11 months later
Question 9
9.
    • Swetha started a business. After some time Hamida joined her.
    • The ratio of their investments is
    • 1
      :
      4
    • . If their profits
    • at the end of the year are
    • ₹1700.00
    • and
    • ₹3400.00
    • respectively,
    • find when
    • Hamida
    •  
    • joined the business.
  • (i)
    9 months later
  • (ii)
    6 months later
  • (iii)
    5 months later
  • (iv)
    8 months later
  • (v)
    10 months later
Question 10
10.
The work done by (12x + 1) men in (2x) days and work done by (56x) men in (x) days is in the ratio of 25 : 56 . Find the value of x
  • (i)
    2
  • (ii)
    0
  • (iii)
    5
  • (iv)
    3
  • (v)
    1
Question 11
11.
    • 20
    • men can do a work in
    • 14
    • days working
    • 5
    • hours a day.
    • In how many days can
    • 5
    • men do the same work, working
    • 5
    • hours a day?
  • (i)
    58
    days
  • (ii)
    57
    days
  • (iii)
    53
    days
  • (iv)
    55
    days
  • (v)
    56
    days
    Assignment Key

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