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Test: Ratio and Proportion- 5 - Question 1

A school has 4 sections of class 12, such that half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal. If total number of students in class 12 is 420, find the number of students in sections 1st and 2nd.

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Test: Ratio and Proportion- 5 - Question 2

The income of A, B, and C are in the ratio 3 : 4 : 7. If their incomes be changed such that the new income of A is 50% increased, 25% increased for B and 25% decrease for C. Find the ratio of their new incomes.

Detailed Solution for Test: Ratio and Proportion- 5 - Question 2

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Test: Ratio and Proportion- 5 - Question 3

A, B and C divide Rs 4200 among themselves in the ratio 7 : 8 : 6. If Rs 200 is added to each of their shares, what is the new ratio in which they will receive the money?

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Test: Ratio and Proportion- 5 - Question 4

The ratio of the monthly salaries of A and B is in the ratio 15 : 16 and that of B and C is in the ratio 17 : 18. Find the monthly income of C if the total of their monthly salary is Rs 1,87,450.

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Test: Ratio and Proportion- 5 - Question 5

The ratio of the incomes of A and B last year was 9 : 13. Ratio of their incomes of last year to this year is 9 : 10 and 13 : 15 respectively. The sum of their present incomes is Rs 50,000. What is the present income of B?

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Test: Ratio and Proportion- 5 - Question 6

A sum of Rs 315 consists of 25 paise, 50 paise and 1 Re coins in the ratio 3 : 4 :6. What is the number of each kind of coin respectively?.

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Test: Ratio and Proportion- 5 - Question 7

Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?

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Test: Ratio and Proportion- 5 - Question 8

The ratio of the number of boys to the number of girls in a school is 6 : 5. If 20% of boys and 45% of girls come by bus to school, what percentage of students opt transport other than bus to come to school?

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Test: Ratio and Proportion- 5 - Question 9

The incomes of A and B are in the ratio 1 : 2 and their expenditures are in the ratio 2 : 5. If A saves Rs 20,000 and B saves Rs 35,000, what is the total income of A and B?

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Test: Ratio and Proportion- 5 - Question 10

Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then?

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Test: Ratio and Proportion- 5 - Question 11

The students in 3 classes are in the ratio 3:4:5.If 20 students added in each class, the ratio becomes 5:6:7.Find the total no of students in all the 3 classes now ?

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Test: Ratio and Proportion- 5 - Question 12

Two equal containers are filled with water and acid. The concentration of acid in each container is 20% and 30%. What is the ratio of water in both the containers respectively ?

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Test: Ratio and Proportion- 5 - Question 13

A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?

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Test: Ratio and Proportion- 5 - Question 14

The ratio of age of Krish and her mother is 5:12 and difference of their ages is 21. What will be the ratio of their ages after 3 years ?

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Test: Ratio and Proportion- 5 - Question 15

A started a business with Rs.32,000 after 4 months B joins with the business by investing Rs.48,000.At the end of the year, in what ratio should share their profit ?

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Test: Ratio and Proportion- 5 - Question 16

A working partner gets 25% as his commissions after his commissions paid that is equal to Rs.7500, then what is the total profit ?

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Test: Ratio and Proportion- 5 - Question 17

Equal quantities of 3 mixtures of milk and water are mixed in the ratio 1:3, 2:3 and 3:4.The ratio of water and milk in the new mixture is

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Test: Ratio and Proportion- 5 - Question 18

The speed of P, Q and R are in the ratio of 2:3:6, what is the ratio of time taken by each one of them for the same distance ?

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Test: Ratio and Proportion- 5 - Question 19

The ratio of income of X and Y is 4:3. The sum of their expenditure is Rs.12,000 and the amount of savings is X is equal to the amount of expenditure of Y.What is the salary of Y?

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Test: Ratio and Proportion- 5 - Question 20

When 7 is added to the numerator and denominator of the fraction, then the new ratio of numerator and denominator becomes 13:19, what is the original ratio ?

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