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Ratio and Proportion

Ratio and Proportion - Important Points


11. The ratio of Income and expenditure of an employee is 5 : 4. If the income of employee is Rs. 18,000 then his savings is:

A. Rs. 3600

B. Rs. 3200

C. Rs. 3000

D. Rs. 2800

Discuss Work Space

Answer: option a

Explanation:

Income = Expenditure + Savings
Given, 5x = 4x + x
=> 5x = 18000 => x = 3600


12. The monthly income of Amit and Ben are in the ratio of 4 : 3. Their monthly expenses are in the ratio of 3 : 2. However, both saves Rs.600 per month. What is their total Monthly income?

A. Rs. 6000

B. Rs. 5600

C. Rs. 4200

D. Rs. 4800

Discuss Work Space

Answer: option c

Explanation:

The difference of 1 unit = 600
So, total income = 7 units = 4200


13. Monthly incomes of A and B are in the ratio 3 : 7 whereas their expenses are in the ratio 1 : 3. If each of them saves Rs.2000 at the end of a month, find the annual income of A.

A. Rs.6000

B. Rs.72000

C. Rs.60000

D. Rs.14400

Discuss Work Space

Answer: option b

Explanation:

Monthly income = 3x, 7x
Expenses = y, 3y
Given, 3x - y = 7x - 3y
=> 2x = y
=> 3x - y = 3x - 2x = 2000
=> x = 2000
A's annual income = 6000 x 12 = 72000


14. A bag contains coins of Re.1, Rs.2 and Rs.5 in the ratio of 10 : 9 : 8. The total worth of these coins is Rs. 544. Find the number of Rs. 5 coins.

A. 80

B. 72

C. 64

D. 128

Discuss Work Space

Answer: option c

Explanation:

Given, (10y x 1) + (9y x 2) + (8y x 5) = 272
=> 68y = 544 => y = 8
Number of Rs. 5 coins = 8 x 8 = 64


15. The ratio of the number of students in three classes A, B and C is 3 : 7 : 8. If 20 students shifted from C to B, the ratio of the number of students in B and C would be interchanged. Find the total number of students in all the three classes.

A. 480

B. 400

C. 320

D. 360

Discuss Work Space

Answer: option d

Explanation:

Given, (7x + 20)/(8x - 20) = 8/7
=> x = 20
So, Total students = 18 x 20 = 360



Ratio and Proportion Questions and Answers FAQ

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