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 : A man spends in 8 months as much as he earns in 6 months. He saves Rs. 6000 in a year. His average monthly income is :

(a) Rs. 1800

(b) Rs. 2150

(c) Rs. 2000

(d) Rs. 2400

The correct answers to the above question in:

Answer: (c)

Let the average monthly income of man be Rs. x.

∴ Man’s annual income = Rs. 12x

∴ Man’s annual expenses

=Rs.$({6x×12}/8)$

=Rs.9x

∴ Savings = 12x – 9x = Rs. 3x

∴ 3x = 6000

⇒ x = $6000/3$ = Rs. 2000

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Read more finding monthly income Based Quantitative Aptitude Questions and Answers

Question : 1

The average salary of all the associates in a team is Rs. 16000. The average salary of 7 senior associates is Rs. 24000 and the average salary of the rest is Rs. 12000. How many associates work in that team?

a) 24

b) 23

c) 22

d) 21

Answer: (d)

Total members in the group = x

Non–senior members = x – 7

According to the question,

16000x = 24000 × 7 + (x – 7) × 12000

⇒ 16x = 24 × 7 + (x – 7) × 12

⇒ 16x = 168 + 12x – 84

⇒ 16x – 12x = 168 – 84

⇒ 4x = 84

⇒ x = $84/4$ = 21

Question : 2

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

Question : 3

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 : 4

The average monthly income of P and Q is Rs.5, 050. The average monthly income of Q and R is Rs.6, 250 and the average monthly income of P and R is Rs.5,200. The monthly income of P is

a) Rs.5,000

b) Rs.4,050

c) Rs.4,000

d) Rs.3,500

Answer: (c)

Total monthly income of P and Q = 2 × 5050 =Rs.10100

Total monthly income of Q and R = 2 × 6250 =Rs.12500

Total monthly income of P and R = 2 × 5200 =Rs.10400

On adding all three,

Total monthly income of 2(P + Q + R)

=Rs.(10100 + 12500 + 10400)

=Rs.33000

∴ Total monthly income of (P + Q + R) = $33000/2$

=Rs.16500

∴ P’s monthly income

=Rs.(16500 – 12500)

=Rs.4000

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