model 8 find monthly income Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on average topic of quantitative aptitude

Questions : The average expenditure of a man for the first five months is Rs.1200 and for the next seven months is Rs.1300. If he saves Rs.2900 in that year, his monthly average income is :

(a) Rs.1400

(b) Rs.1700

(c) Rs.1600

(d) Rs.1500

The correct answers to the above question in:

Answer: (d)

Total annual expenditure of man

= Rs.(5 × 1200 + 7 × 1300)

= Rs. (6000 + 9100)

= Rs. 15100

His total annual income

= Rs. (15100 + 2900)

= Rs. 18000

∴ Average monthly income = $18000/12$ = Rs. 1500

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Read more finding monthly income Based Quantitative Aptitude Questions and Answers

Question : 1

A man spends Rs.1800 monthly on an average for the first four months and Rs.2000 monthly for the next eight months and saves Rs.5600 a year. His average monthly income is

a) Rs.2600

b) Rs.2400

c) Rs.2200

d) Rs.2000

Answer: (b)

Total expenditure of man in a year

=Rs.(4 × 1800 + 8 × 2000)

=Rs.(7200 + 16000)

=Rs.23200

Total annual income

= (23200 + 5600)

=Rs.28800

∴ Average monthly income = $28800/12$ =Rs.2400

Question : 2

Average income of ‘A’ and ‘B’ is Rs.200 and average income of ‘C’ and ‘D’ is Rs.250. The average income of A, B, C and D is

a) Rs.225

b) Rs.200

c) Rs.125

d) Rs.106.25

Answer: (a)

Total income of A and B

= Rs. (2 × 200) = Rs. 400

Total income of C and D

= Rs. (2 × 250) = Rs. 500

∴ Required average

= ${400+500}/4$ = $900/4$ = Rs. 225

Question : 3

The average monthly expenditure of a family for the first four months is Rs.2570, for the next three months Rs.2490 and for the last five months Rs.3030. If the family saves Rs.5320 during the whole year, the average monthly income of the family during the year is

a) Rs.3580

b) Rs.3200

c) Rs.3185

d) Rs.3000

Answer: (c)

Total annual expenditure of the family

=Rs.(4 × 2570 + 3 × 2490 + 5 × 3030)

=Rs.(10280 + 7470 + 15150)

=Rs.32900

Total income

=Rs.(32900 + 5320)

=Rs.38220

∴ Required average monthly income = $38220/12$ =Rs.3185

Question : 4

The average monthly salary of 19 members of a group is Rs. 16000. If one more member whose monthly salary is Rs. 20000 joins the group, then the average salary of the group is

a) Rs. 16250

b) Rs. 18000

c) Rs. 16200

d) Rs. 18250

Answer: (c)

Required average

=Rs. $({16000 ×19+20000}/20)$

=Rs.$({304000+20000}/20)$

=Rs. $(324000/20)$

=Rs.16200

OR

Difference = Rs. (20000 – 16000) = Rs. 4000

∴ Increase in average = $4000/20$ = Rs. 200

∴ Required average

= Rs. (16000 + 200)

= Rs. 16200

Question : 5

The average salary of all the workers in a workshop is Rs.8,000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6,000. The total number of workers in the workshop is

a) 23

b) 22

c) 21

d) 20

Answer: (c)

Total workers = x (let)

∴ 7 × 12000 + (x – 7) × 6000 = 8000 x

⇒ 84000 + 6000 x – 42000 = 8000 x

⇒ 8000 x – 6000 x = 42000

⇒ 2000 x = 42000

⇒ x = $42000/2000$ = 21

Question : 6

The average monthly income of X and Y is Rs.5050. The average monthly income of Y and Z is Rs.6250 and the average monthly income of X and Z is Rs.5200. The monthly income of X is :

a) Rs.5000

b) Rs.4000

c) Rs.3500

d) Rs.4050

Answer: (b)

X + Y =Rs.(2 × 5050) =Rs.10100

Y + Z =Rs.(2 × 6250) =Rs.12500

z + x =Rs.(2 × 5200) =Rs.10400

Adding all three,

2 (X + Y + Z) =Rs.(10100 + 12500 + 10400)

=Rs.33000

⇒ X + Y + Z = Rs.16500

∴ X = (X + Y + Z) – (Y + Z)

=Rs.(16500 – 12500) =Rs.4000

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GET average PRACTICE TEST EXERCISES

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