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Ratio & Proportion Test 245
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Ratio & Proportion Test 245

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  • Question 1/10
    1 / -0.25
    x and y are two numbers such that their mean proportion is 9 and third proportion is 243. What is the value of x and y?
    Solutions









    Hence the number are 3 and 27
  • Question 2/10
    1 / -0.25
    If 13A = 11B = 8C, find A : B : C
    Solutions
    Given: 13A = 11B = 8C


    So, A : B : C = 11/13 : 1 : 11/8
    = 11 × 8 : 13 × 8 : 11 × 13
    = 88 : 104 : 143
  • Question 3/10
    1 / -0.25
    The sum of three numbers is 162. If the ratio of the first number to the second number is 5 : 7 and that of the second number to the third number is 5 : 3, then what is the second number?
    Solutions
    Let the numbers are P, Q, and R.

    Given, P:Q = 5:7 i.e. P = 5/7 Q

    and Q:R = 5:3 i.e. R = 3/5 Q

    and P+Q+R = 162

    So, now





    Q = 70

    Hence, option B is the correct answer.
  • Question 4/10
    1 / -0.25
    A bag contains ₹ 90 in coins of denominations of 50 paise, 25 paise and 10 paise are in ratio 2 : 3 : 5, then the number of 25 paise coins in the bag is
    Solutions
    Let X, Y and Z be the number of 50 paise, 25 paise and 10 paise coins in ₹ 90.
    Therefore 0.50X+0.25Y+0.10Z = 90
    Given X : Y : Z = 2 : 3 : 5
    Let X = 2A, Y = 3A, Z = 5A
    Hence:
    0.50(2A)+0.25(3A)+0.10(5A)=90
    A+0.75A+0.50A= 90
    2.25A=90
    A=40
    Hence number of 25 paise coins in bag = 3×40 = 120
  • Question 5/10
    1 / -0.25
    A and B together have Rs 1210. If 4/15th of A's amount is equal to 2/5th of B's amount, then how much amount does B have?
    Solutions
    According to question,
    (4/15)A = (2/5)B
    A/B = 3/2
    A : B = 3 : 2
    Sum of ratios = 5

    Share of B= (2/5)×1210 = Rs. 484
  • Question 6/10
    1 / -0.25
    A sum of ₹ 7,000 is divided among A, B, C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The share of B is:
    Solutions
    A : B = 2 : 3
    B : C = 4 : 5
    A : B : C = 8 : 12 : 15
    B’s share =
    = ₹ 2,400
  • Question 7/10
    1 / -0.25
    The students in three classes are in the ratio 4:6:9. If 12 students are increased in each class, the ratio changes to 7:9:12. Then the total number of students in the three classes before the increase is.
    Solutions
    Ratio before increase in number = 4:6:9
    Ratio after increase in number = 7:9:12
    Increased ratio = 3; Increase in number of students = 3x
    ⇒ 3x = 12 ⇒ x = 4
    ∴ number of students in three classes before the increase = 4x+6x+9x
    = 4*4+4*6+4*9 = 16+24+36 = 76
  • Question 8/10
    1 / -0.25
    Tom is chasing Jerry. In the same interval of time Tom jumps 8 times while Jerry jumps 6 times. But the distance covered by Tom in 7 jumps in equal to the distance covered by Jerry in 5 jumps. The ratio of speed of Tom and Jerry is
    Solutions
  • Question 9/10
    1 / -0.25
    Rs 94000 is divided among A, B and C such that 20% of A's share = 25% of B's share = 15% of C's share. What is the share (in Rs) of C?
    Solutions
    20% of A= 25%of B =15% of C
    A:B:C=
    Then share of C=
  • Question 10/10
    1 / -0.25
    IF x is increased by 20%, it becomes equal to 60% of y. Find the ratio of x:y.
    Solutions
    120% of x = 60% of y
    ⇒ 2x = y
    ∴ x : y = 1 : 2
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