model 8 find monthly income Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC CHSL 2014]

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

Question : 2 [SSC CGL Tier-I 2016]

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

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

Question : 3 [SSC CPO 2016]

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 : 4 [SSC SAS 2010]

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 : 5 [SSC CHSL 2014]

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

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