Ratio and Proportion

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Question
SSCCGLENQA12042050

80 is divided into three parts, such that the first part is 24 and the ratio of the second to the third is 4 : 3. The second part is

  • 40

  • 36

  • 32

  • 24

Solution

C.

32

Total  = 80
First part = 24
∴  Sum of second and third part = 80 - 24 = 56
Ratio of second to the third part = 4 : 3
therefore space space space Second space Part space equals space 4 over 7 space cross times space 56 space equals space 32

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Question
SSCCGLENQA12042846

A and B earn in the ratio 2 : 1. They spend in the ratio 5 :3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are ₹ 5,000 the monthly income of B is

  • ₹ 7,000

  • ₹ 14,000

  • ₹ 5,000

  • ₹ 10,000

Solution

A.

₹ 7,000

A : B (Savings ratio) = 4 : 1
Total savings = ₹ 5000
∴ A's savings  = ₹ 4000
   B's savings = ₹ 1000
Now according to question
rightwards double arrow space 2 over 1 space equals space fraction numerator 5 straight x space plus space 4000 over denominator 3 straight x plus space 1000 end fraction
rightwards double arrow 6 straight x space plus space 2000 space equals space space 5 straight x space plus space 4000
rightwards double arrow space space space space space space space space space straight x space equals space 2000
∴   B's income = 1000 + 3 x 2000 = ₹ 7000

Question
SSCCGLENQA12043192

A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs 10,000 monthly respectively, then the difference in their monthly incomes is

  • Rs 52,000

  • Rs. 42,000

  • Rs. 44,000

  • Rs. 46,000

Solution

B.

Rs. 42,000

Let A's monthly income be Rs. 8x
     A's monthly expenditure be Rs. 5y
Let B's monthly income be Rs. 5x
     B's monthly expenditure be Rs. 3y
According to the question,
8x - 5y = 12000          ...(i)
5x - 3y = 10000          ...(ii)
Solving (i) and (ii), we get
⟹   x = 14000
Difference between monthly incomes of A and B
 = 8x - 5x = Rs. 3x = Rs. (3 x 14000)
 = Rs. 42000


Question
SSCCGLENQA12042097

A bag contains Rs. 145 in the form of one-rupee, 50-paise and 25-paise coins in the ratio 3 : 5 : 7. The number of one-rupee coins is 

  • 60

  • 50

  • 48

  • 45

Solution

A.

60

Ratio of the values of coins
 equals space 3 over 1 space colon space 5 over 2 space colon space 7 over 4 space equals space 12 space colon space 10 space colon space 7
∴   Value of the one rupees coins
  equals space Rs. space open parentheses 12 over 29 space cross times space 145 close parentheses space equals space Rs. space 60
Rs.60 = Number of one rupee coins

Question
SSCCGLENQA12042340

A certain amount of money is divided between A and B in the ratio of 5:6. If B gets ₹360/-, the amount is

  • ₹660/-

  • ₹560/-

  • ₹680/-

  • ₹580/-

Solution

A.

₹660/-

Let the amount  = ₹ x
According to the question,
                 Share of B = straight x space cross times space 6 over 11
                       360 = 360 space equals space fraction numerator straight x cross times 6 over denominator 11 end fraction space space space rightwards double arrow space space space straight x space equals space ₹ space 660 space divided by negative