type 4 income & expenditure based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on ratio & proportion topic of quantitative aptitude

Questions : The ratio of weekly income of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves Rs.200 per week, then the sum of their weekly income is

(a) Rs.4,800

(b) Rs.5,600

(c) Rs.3,200

(d) Rs.3,600

The correct answers to the above question in:

Answer: (c)

Let A’s and B’s weekly income be Rs.9x and Rs.7x

and their expenditures be Rs.4y and Rs.3y respectively.

Then, 9x - 4y = 200 ...(i)

and 7x - 3y = 200 ...(ii)

9x - 4y = 7x - 3y

9x - 7x = 4y - 3y

2x = y ...(iii)

From equation (i),

9x - 4y = 200

9x - 8x = 200

x = 200

Sum of their weekly income

= 16x = 16 × 200 = Rs.3200

Practice ratio & proportion (type 4 income & expenditure based ratio & proportion problems) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more income and expenditure based ratio and proportion Based Quantitative Aptitude Questions and Answers

Question : 1

A and B have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. If they save Rs.1800 and Rs.1600 respectively, find the monthly income of B :

a) Rs.1720

b) Rs.7200

c) Rs.2700

d) Rs.3400

Answer: (b)

Given

$\text”Monthly income of A”/ \text”Monthly income of B” = 5/6$

Monthly income of A = 5x

and that of B = 6x (x is a constant)

According to the question

${5x - 1800}/{6x - 1600} =3/4$

20x - 7200 = 18x - 4800

2x = 2400 ⇒ x = 1200

Monthly income of B

= 1200 × 6 = Rs.7200

Question : 2

A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his saving is 26 : 3. If his monthly income is Rs.7250, what is the amount of his monthly savings ?

a) Rs.750

b) Rs.780

c) Rs.290

d) Rs.350

Answer: (a)

Let his expenditures be Rs.26x

and savings be Rs.3x.

26x + 3x = 7250

29x = 7250

$x = 7250/29$ =250

Savings = 3x = Rs.750

Question : 3

The monthly salaries of A, B and C are in the ratio 2 : 3 : 5. If C’s monthly salary is Rs.12,000 more than that of A, then B’s annual salary is

a) Rs.1,80,000

b) Rs.2,40,000

c) Rs.1,44,000

d) Rs.1,20,000

Answer: (c)

Let the monthly salary of A, B & C be 2x, 3x and 5x

now, 5x - 2x = 12,000

3x = 12000 or x = 4000

Monthly salary of B

= 3 × 4000 = 12,000

Annual salary of B

= 12000 × 12 = Rs.144000

Question : 4

The ratio of incomes of A and B is 5 : 6. If A gets Rs.1,100 less than B, their total income (in rupees) is

a) 14,400

b) 10,000

c) 12,100

d) 9,900

Answer: (c)

Let the income of A be Rs.5x

and that of B be Rs.6x.

According to the question,

6x - 5x =1100

x = 1100

Total income

= 5x + 6x = Rs.11x

= Rs.(11×1100) = Rs.12100

Question : 5

The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. Find the income of each person, if they save Rs.1,300 and Rs.900 respectively.

a) Rs.5,000, Rs.3,000

b) Rs.4,500 Rs.2,700

c) Rs.3,000, Rs.1,800

d) Rs.4,000, Rs.2,400

Answer: (d)

Let income of two persons be 5x and 3x.

and their expenses be 9y and 5y respectively.

Then, 5x - 9y = 1300 ...(i)

and 3x - 5y = 900 ...(ii)

By 9 × (ii) - 5 × (i), we get

27x-45y=8100
25x-45y=6500
-+-
2x=1600

x = 800

Now, income of first person

= 5x = 5 × 800 = Rs.4000

and that of second person

= 3x = 3 × 800 = Rs.2400

Question : 6

Ratio between the monthly incomes of A and B is 9 : 8 and the ratio between their expenditures is 8 : 7. If they save Rs.500 each, find A’s monthly income.

a) Rs.4,500

b) Rs.5,000

c) Rs.4,000

d) Rs.3,500

Answer: (a)

If the ratio of the income of A and B be a : b

and that of their expenses be c : d and each saves x, then,

A’s income = ${ax(d - c)}/{ad - bc}$

= ${9 × 500(7 - 8)}/{9 × 7 - 8 × 8}$

= 9 × 500 = 4500

Recently Added Subject & Categories For All Competitive Exams

Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024

Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam

17-May-2024 by Careericons

Continue Reading »

Syllogism Practice Questions Answers PDF - IBPS Clerk 2024

Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam

16-May-2024 by Careericons

Continue Reading »

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »