Ratio, Proportion & Variation - SSC

Person A started a business by investing ₹65,000. After a few months. B joined him by investing ₹50.000. Three months after the joining of B, C joined the two with an investment of ₹55.000. At the end of the year. A got 50% of profit as his share. For how many months did A alone finance the business?

• A.

  2

• B.

  3

• C.

  5

• D.

  4

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The ratio of the sum of and the difference between two numbers is 6 : 5. Find the ratio of these two numbers.

• A.

  3 : 2

• B.

  7 : 5

• C.

  2 : 3

• D.

  11 : 1

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A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:

• A.

  acute angled

• B.

  not possible

• C.

  obtuse angled

• D.

  right angled

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Numbers A and B are 0% and 50%, respectively, more than the number C. The ratio of A to that of B is:

• A.

  13 : 15

• B.

  4 : 5

• C.

  15 : 13

• D.

  5 : 4

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An amount of ₹1,003 is to be distributed among A, B and C in the ratio of 11 : 23 : 25. How many rupees would B get more than A?

• A.

  ₹238

• B.

  ₹29

• C.

  ₹187

• D.

  ₹204

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Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?

• A.

  60

• B.

  57

• C.

  69

• D.

  75

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The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8. then the third number is:

• A.

  30

• B.

  20

• C.

  49

• D.

  48

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A and B entered into a partnership with investments in the ratio 3 : 5. After a few months, A withdrew and collected back his money. At the end of the year, they received profit in the ratio 2 : 5. After how many months did A withdraw?

• A.

  6

• B.

  9

• C.

  7

• D.

  8

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A, B and C divide an amount of ₹10,500 amongst themselves in the ratio 5 : 7 : 9. respectively. If each one gets ₹500 more, then what will be the ratio of the amounts will A, B and C?

• A.

  5 : 7 : 9

• B.

  3 : 4 : 5

• C.

  7 : 9 : 11

• D.

  5 : 6 : 7

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The ratio of the profits of P and Q is 5: 8. What is their investment ratio, if their investment time period ratio is 3: 5?

• A.

  13 : 25

• B.

  12 : 25

• C.

  24 : 25

• D.

  25 : 24

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All alloy contains 40% of silver. 30% of copper and 30% of nickel. How much silver (in kg) should be added to 15 kg of the alloy so that lhe new alloy contains 50% of silver?

• A.

  5

• B.

  10

• C.

  12

• D.

  20

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Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹38,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8.000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.

• A.

  10,950

• B.

  10,200

• C.

  10,880

• D.

  9,800

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Three partners shared the profit in a business in the proportion of 9 : 8 : 11. They invested their capitals for 4 months, 6 months and 18 months, respectively. What was the ratio of their capitals?

• A.

  27 : 48 : 22

• B.

  81 : 48 : 22

• C.

  81 : 16 : 66

• D.

  27 : 16 : 66

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What would be the ratio of the areas of two circles, i.e. Circle-A and Circle-B, the radius of which are 4 cm and 8 cm, respectively?

• A.

  1 : 2

• B.

  1 : 16

• C.

  1 : 8

• D.

  1 : 4

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If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).

• A.

  140

• B.

  126

• C.

  90

• D.

  104

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If p is the third proportional to 3, 9, then what is the fourth proportional to 6, p, 4?

• A.

  $\frac{3}{2}$

• B.

  10

• C.

  18

• D.

  2$\sqrt{3}$

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Fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?

• A.

  6

• B.

  4$\sqrt{3}$

• C.

  6.5

• D.

  4

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The monthly income of three cricketers Ankit, Sanjay and Roshan, from different sources, are in the ratio of 12 : 9 : 7, and their expenditures are in the ratio 15 : 9 : 8. If Ankit saves 25% of his income for future investments, what is the ratio of the savings of Ankit, Sanjay and Roshan?

• A.

  15 : 18 : 11

• B.

  25 : 16 : 13

• C.

  5 : 8 : 7

• D.

  23 : 18 : 11

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The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference in A and B is:

• A.

  15

• B.

  20

• C.

  12

• D.

  10

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Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.

• A.

  4 : 3

• B.

  3 : 2

• C.

  11 : 5

• D.

  8 : 9

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Rajesh purchased 6 mangoes, 3 bananas and 10 guavas in ₹136. If the ratio of the cost (per piece) of mangoes, bananas and guavas is 3 : 2 : 1, what will be the total cost of 1 mango, 2 bananas and 3 guavas?

• A.

  ₹27

• B.

  ₹40

• C.

  ₹46

• D.

  ₹38

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If x is subtracted from each of 24, 40, 33 and 57, the numbers, so obtained are in proportion. The ratio of (5x + 12) to (4x + 15) is:

• A.

  7 : 4

• B.

  4 : 3

• C.

  14 : 13

• D.

  7 : 5

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The ratio of monthly incomes of A and B is 4 : 5 and that of their monthly expenditures is 3 : 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?

• A.

  3 : 8

• B.

  2 : 5

• C.

  8 : 3

• D.

  5 : 2

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A sum of ₹6342 is divided amongst A, B, C and in theratio 3 : 4: 8 : 6. What is the difference between the shares of B and D?

• A.

  ₹906

• B.

  ₹1510

• C.

  ₹302

• D.

  ₹604

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In a class the ratio of rural to urban students is 4 : 7. In an examination the average percentage marks of the rural and the urban studentsare respectively 65 and 63. Whatis the overall average percentage marks of the class (correct to two decimal places)?

• A.

  63.73%

• B.

  65.87%

• C.

  64.37%

• D.

  73.63%

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