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Ratio & Proportion

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Q 1. There is a ratio of {tex} 5: 4 {/tex} between two numbers. If forty percent of the first number is {tex} 12 {/tex} then what would be the {tex} 50 {/tex} percent of the second number?

12

24

18

Data inadequate

None of the above

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Q 2. What is the ratio whose terms differ by {tex} 40 {/tex} and the measure of which is {tex} \frac { 2 } { 7 } ? {/tex}

16:56

14:56

15:56

16:72

None of these

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Q 3. Ratio of present age of {tex} \mathrm { P } {/tex} and {tex} \mathrm { Q } {/tex} is {tex} 7: 3 . {/tex} After four years their ages are in the ratio of {tex} 2: 1 . {/tex} What is the present age of {tex} \mathrm { P } {/tex} ?

24 years

28 years

32 years

Data inadequate

None of these

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Q 4. If {tex} 25 \% {/tex} of a number is subtracted from a second number the second number reduces to its five-sixths. What is the ratio between the first number and the second number?

2:3

3:2

1:3

Data inadequate

None of these

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Q 5. A and B entered into a partnership with capitals in the ratio of {tex} 4: 5 . {/tex} After 3 months, A withdrew {tex} \frac { 1 } { 4 } {/tex} of his capital and {tex} \mathrm { B } {/tex} withdrew {tex} \frac { 1 } { 5 } {/tex} of his capital. The gain at the end of 10 months was {tex} \mathrm {Rs.760}. {/tex} Find the profit of {tex} \mathrm { B } {/tex}.

{tex} \mathrm {Rs.450} {/tex}

{tex} \mathrm {Rs.430} {/tex}

{tex} \mathrm {Rs.410} {/tex}

{tex} \mathrm {Rs.340} {/tex}

{tex} \mathrm {None\, of \,these} {/tex}

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Q 6. How many kg of salt at {tex} \mathrm {42} {/tex} paise per kg must a man mix with {tex} 25 \mathrm { kg } {/tex} of salt at {tex} \mathrm {42} {/tex} paise per {tex} \mathrm { kg } {/tex} so that he may, on selling the mixture at {tex} \mathrm 40 {/tex} paise per {tex} \mathrm { kg } {/tex} gain {tex} 25 \% {/tex} on the outlay?

{tex} 15 \mathrm { kg } {/tex}

{tex} 18 \mathrm { kg } {/tex}

{tex} 20 \mathrm { kg } {/tex}

{tex} 24 \mathrm { kg } {/tex}

None of these

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Q 7. A started a business with {tex} \mathrm {Rs.4500} {/tex} and another person B joined after some period with {tex} \mathrm Rs. 3000 {/tex}. Determine this period after {tex} B {/tex} joined the business if the profit at the end of the year is divided in the ratio {tex} 2: 1 {/tex}

After 3 months

After 4 months

After 6 months

After {tex} 2 \frac { 1 } { 2 } {/tex} months

None of these

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Q 8. The ratio of {tex} \mathrm { A } ^ { \prime } \mathrm { s } {/tex} and {tex} \mathrm { B } ^ { \prime } {/tex}s salary is {tex} 9: 4 . {/tex} If {tex} \mathrm { A } ^ { \prime } {/tex}s salary is increased by {tex} 15 \% , {/tex} then his total salary becomes {tex} \mathrm {Rs.5175}. {/tex} What is the salary of {tex} \mathrm { B } ? {/tex}

{tex} \mathrm {Rs.2,000} {/tex}

{tex} \mathrm {Rs.4,000} {/tex}

{tex} \mathrm{Rs.4,500} {/tex}

{tex} \mathrm {Rs.2,500} {/tex}

None of these

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Q 9. Mr. Gangadhar, Mr. Ramesh and Mr. Shridhar together earned {tex} { Rs.\, } 19800 {/tex}. The ratio of earnings between Mr. Gangadhar and Mr. Ramesh is {tex} 2: 1 {/tex} while that between Mr. Ramesh and Mr. Shridhar is {tex}3: 2 .{/tex} How much did Mr. Ramesh earn?

{tex} \mathrm {Rs.3600} {/tex}

{tex} \mathrm {Rs.5400} {/tex}

{tex} \mathrm {Rs.1800} {/tex}

{tex} \mathrm {Rs.6300} {/tex}

None of these

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Q 10. A and B rent a pasture for {tex} 10 {/tex} months; A puts in {tex} 80 {/tex} cows for {tex} 7 {/tex} months. How many can {tex} B {/tex} put in for the remaining {tex} 3 {/tex} months, if he pays half as much again as {tex} A {/tex} ?

120

180

200

280

None of these

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Q 11. When {tex} 30 {/tex} per cent of a number is added to another number the second number increases to its {tex} 140 {/tex} per cent. What is the ratio between the first and the second number?

3:4

4:3

3:2

Data inadequate

None of these

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Q 12. Mr Sharad started a business investing {tex} \mathrm {Rs.50000}. {/tex} Four months later Mr Praveen joined the business by investing {tex}\mathrm {Rs.90000}.{/tex} If the profit in the business at the end of the year was {tex} \mathrm {Rs.22000} {/tex}. How much amount would Mr Praveen have received as the profit?

{tex}\mathrm {Rs.16000} {/tex}

{tex} \mathrm {Rs. 14000} {/tex}

{tex}\mathrm {Rs.12000} {/tex}

{tex} \mathrm {Rs.11000} {/tex}

{tex} \mathrm {None\, of\, these} {/tex}

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Q 13. Abhishek started a business investing {tex} \mathrm Rs. 50,000 {/tex}. After one year he invested another {tex} \mathrm Rs. 30,000 {/tex} and Sudin also joined him with a capital of {tex} \mathrm Rs. 70,000 {/tex}. If the profit earned in three years from the starting of business was {tex} \mathrm Rs. 87,500 , {/tex} then find the share of Sudin in the profit.

{tex} \mathrm {Rs.37,500} {/tex}

{tex} \mathrm {Rs.32,500} {/tex}

{tex} \mathrm {Rs.38,281} {/tex}

{tex} \mathrm {Rs.52,500} {/tex}

{tex} \mathrm {None\, of \,these} {/tex}

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Q 14. Seats for Maths, Physics and Biology are in the ratio of 5: 7: 8 respectively. There is a proposal to increase these seats by {tex} 40 \% , 50 \% {/tex} and {tex} 75 \% {/tex} respectively. What will be the respective ratio of increased seats?

2:3:4

6:7:8

6:8:9

Cannot be determined

None of these

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Q 15. The salaries of {tex} \mathrm { A } , \mathrm { B } , \mathrm { C } {/tex} are in the ratio {tex} 2: 3: 5 . {/tex} If the increments of {tex} 15 \% , 10 \% {/tex} and {tex} 20 \% {/tex} are allowed respectively in their salaries, then what will be the new ratio of their salaries?

3:3:10

10:11:20

23:33:60

Cannot be determined

None of these

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Q 16. A and B enter into partnership with capitals in the ratio {tex}3: 4.{/tex} At the end of {tex} 10 {/tex} months A withdraws, and the profits now are divided in the ratio of {tex} 5: 6. {/tex} Find how long {tex} B {/tex} remained in the business?

9 months

8 months

6 months

7 months

None of these

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Q 17. A merchant lent out {tex} \mathrm {Rs.1,000} {/tex} in two parts, one at {tex} 8 \% {/tex} and the other at {tex} 10 \% {/tex} interest. The yearly average comes out to be {tex} 9.2 \% {/tex}. Find the amount lent in two parts.

{tex} \mathrm Rs.400 {/tex} , {tex} \mathrm {Rs.600}{/tex}

{tex} \mathrm {Rs.500} {/tex}, {tex}\mathrm {Rs.500} {/tex}

{tex} \mathrm {Rs.300} {/tex}, {tex}\mathrm {Rs.700} {/tex}

{tex} \mathrm {cannot \,be\, determined} {/tex}

{tex} \mathrm {None \,of\, these}{/tex}

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Q 18. If {tex} \mathrm { A }: \mathrm { B }: \mathrm { C } = 2: 3: 4 , {/tex} then {tex} \frac { \mathrm { A } } { \mathrm { B } }: \frac { \mathrm { B } } { \mathrm { C } }: \frac { \mathrm { C } } { \mathrm { A } } {/tex} is equal to:

4:9:16

8:9:12

8:9:16

8:9:24

None of these

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Q 19. A sum of money is to be divided among {tex} \mathrm { Z } , \mathrm { X } , \mathrm { Y } {/tex} in the respective proportion of 4: 5: 6 and another sum to be divided between {tex} \mathrm { A } {/tex} and {tex} \mathrm { B } {/tex} equally. If {tex} \mathrm { Z } {/tex} got {tex} \mathrm{Rs.}2000 {/tex} less than {tex} \mathrm { A } , {/tex} how much did {tex} \mathrm { X } {/tex} get?

{tex} \mathrm{Rs.}10,000 {/tex}

{tex} \mathrm{Rs.}5,000 {/tex}

{tex} \mathrm{Rs.}4,000 {/tex}

Cannot be determined

None of these

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Q 20. The difference between the present ages of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5: 7 respectively. What is Deepak's present age?

49 years

42 years

63 years

35 years

None of these

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Q 21. At present Meena is eight times her daughter's age. Eight years from now, the ratio of the ages of Meena and her daughter will be {tex} 10: 3 . {/tex} What is Meena's present age?

32 years

40 years

36 years

Cannot be determined

None of these

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Q 22. {tex} 28 \% {/tex} members of a certain group are married. What is the respective ratio between the number of married members to the number of unmarried members?

7:17

5:18

7:18

Cannot be determined

None of these

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Q 23. The average age of a man and his son is 48 years. The ratio of their ages is 5: 3 rspectively. What is the son's age?

36 years

48 years

60 years

24 years

None of these

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Q 24. The ages of Nishi and Vinnee are in the ratio of 6: 5 respectively. After 9 years the ratio of their ages will be 9:8. What is the difference in their ages?

9 years

7 years

5 years

3 years

None of these

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Q 25. A company blends two varieties of tea from two different tea gardens, one variety costing {tex} \mathrm Rs.20 {/tex} per {tex} \mathrm { kg } {/tex} and other {tex} \mathrm Rs.25 {/tex} per {tex} \mathrm { kg } {/tex}, in the ratio {tex} 5: 4 . {/tex} He sells the blended tea at {tex} \mathrm Rs.23 {/tex} per kg. Find his profit percent:

{tex} 5 \% {/tex} profit

{tex} 3.5 \% {/tex} loss

{tex} 3.5 \% {/tex} profit

No profit, no loss

None of these

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