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
      :
      20
    • and
    • 9
      :
      17
  • (i)
    108
    :
    337
  • (ii)
    108
    :
    340
  • (iii)
    107
    :
    340
  • (iv)
    109
    :
    340
  • (v)
    108
    :
    342
Question 2
2.
    • Find the compounded ratio of
    •  
    • j
    • :
    • m
    • and
    • b
    • :
    • y
  • (i)
    m : by
  • (ii)
    yb : jm
  • (iii)
    j
    b
    :
    m
    y
  • (iv)
    jm : by
  • (v)
    b : jm
Question 3
3.
Rizvana and Aruna started a business with capitals of ₹14000.00 and ₹8000.00 respectively and made a profit of ₹6600.00 at the end of the year. Find the share of each.
  • (i)
    Rizvana's share = ₹4200.00, Aruna's share = ₹2400.00
  • (ii)
    Rizvana's share = ₹3600.00, Aruna's share = ₹3000.00
  • (iii)
    Rizvana's share = ₹4800.00, Aruna's share = ₹1800.00
  • (iv)
    Rizvana's share = ₹4500.00, Aruna's share = ₹2100.00
  • (v)
    Rizvana's share = ₹3730.43, Aruna's share = ₹2869.57
Question 4
4.
Saraswathi started a business with a capital of ₹7000.00 and Akshaya joined her sometime later with a capital of ₹15000.00. Out of the total annual profit of ₹43500.00, if Saraswathi's share is ₹21000.00, when did Akshaya join as partner?
  • (i)
    Akshaya joined as partner after 6 months
  • (ii)
    Akshaya joined as partner after 5 months
  • (iii)
    Akshaya joined as partner after 8 months
  • (iv)
    Akshaya joined as partner after 9 months
  • (v)
    Akshaya joined as partner after 10 months
Question 5
5.
Parvathi and Kareena started a business with a total investment of ₹25000.00. If the total profit of ₹5000.00 is divided equally instead of dividing in the ratio of their investments, Parvathi gets ₹100.00 more . What is the share of each partner?
  • (i)
    ₹12000.00, ₹13000.00
  • (ii)
    ₹12300.00, ₹12700.00
  • (iii)
    ₹12200.00, ₹12800.00
  • (iv)
    ₹12400.00, ₹12600.00
  • (v)
    ₹12100.00, ₹12900.00
Question 6
6.
Kareena and Praveen started a business with a total investment of ₹34000.00. Out of the total profit of ₹255000.00 at the end of the year, keeping ₹204000.00 for managing the business, the balance is divided in the ratio of their investments. If Praveen gets ₹3000.00 more than Kareena, find their investments.
  • (i)
    ₹16400.00, ₹17600.00
  • (ii)
    ₹16300.00, ₹17700.00
  • (iii)
    ₹16100.00, ₹17900.00
  • (iv)
    ₹16000.00, ₹18000.00
  • (v)
    ₹16200.00, ₹17800.00
Question 7
7.
Santosh 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 ₹8400.00, find the share of each.
  • (i)
    Santosh's share = ₹5040.00, Karthik's share = ₹3360.00
  • (ii)
    Santosh's share = ₹4800.00, Karthik's share = ₹3600.00
  • (iii)
    Santosh's share = ₹4382.61, Karthik's share = ₹4017.39
  • (iv)
    Santosh's share = ₹7200.00, Karthik's share = ₹1200.00
  • (v)
    Santosh's share = ₹7753.85, Karthik's share = ₹646.15
Question 8
8.
    • Krishna started a business. After some time Anil joined him.
    • The ratio of their investments is
    • 1
      :
      3
    • .
    • If their profits at the end of the year are equal,
    • find when
    • Anil
    •  
    • joined the business.
  • (i)
    7 months later
  • (ii)
    1 months later
  • (iii)
    11 months later
  • (iv)
    8 months later
  • (v)
    10 months later
Question 9
9.
    • Swetha started a business. After some time Rita joined her.
    • The ratio of their investments is
    • 11
      :
      18
    • . If their profits
    • at the end of the year are
    • ₹26400.00
    • and
    • ₹32400.00
    • respectively,
    • find when
    • Rita
    •  
    • joined the business.
  • (i)
    2 months later
  • (ii)
    7 months later
  • (iii)
    6 months later
  • (iv)
    3 months later
  • (v)
    5 months later
Question 10
10.
The work done by (2x + 1) men in (2x + 2) days and work done by (8x + 3) men in (x + 1) days is in the ratio of 18 : 35 . Find the value of x
  • (i)
    5
  • (ii)
    1
  • (iii)
    3
  • (iv)
    7
  • (v)
    4
Question 11
11.
    • 14
    • men can do a work in
    • 13
    • days working
    • 5
    • hours a day.
    • In how many days can
    • 14
    • men do the same work, working
    • 8
    • hours a day?
  • (i)
    7
    7

    8
    days
  • (ii)
    8
    1

    8
    days
  • (iii)
    8
    1

    6
    days
  • (iv)
    8
    3

    8
    days
  • (v)
    8
    1

    10
    days
    Assignment Key

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