Practice Finding monthly income - quantitative aptitude Online Quiz (set-1) For All Competitive Exams

Q-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)

(b)

(c)

(d)

Explanation:

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


Q-2)   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)

(b)

(c)

(d)

Explanation:

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


Q-3)   The average salary of all workers in a workshop is Rs.12000. The average salary of 7 technicians is Rs.15000 and the average salary of the rest is Rs. 9000. The total number of workers in the workshop is :

(a)

(b)

(c)

(d)

Explanation:

Total number of workers in the factory = x (let)

Number of technicians = 7

Remaining workers = x – 7

According to the question,

${7×15000+(x-7)×9000}/x$ = 12000

⇒ 7 × 15 + 9x – 63 = 12x

⇒ 105 – 63 = 12x – 9x

⇒ 3x = 42

⇒ x = $42/3$ = 14


Q-4)   The average salary, per head, of all the workers of an institution is Rs.60. The average salary of 12 officers is Rs.400; the average salary, per head, of the rest is Rs.56. The total number of workers in the institution is

(a)

(b)

(c)

(d)

Explanation:

Number of other workers except officers = x

∴ 12 × 400 + x × 56 = (x + 12) × 60

⇒ 4800 + 56x = 60x + 720

⇒ 60x – 56x = 4800 – 720

⇒ 4x = 4080

⇒ x = $4080/4$ = 1020

∴ Total number of workers = 1020 + 12 = 1032


Q-5)   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)

(b)

(c)

(d)

Explanation:

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


Q-6)   The average per day income of A, B and C is Rs.450. If the average per day income of A and B be Rs.400 and that of B and C be Rs.430, the per day income of B is

(a)

(b)

(c)

(d)

Explanation:

Total daily income of A, B and C = 3 × 450 =Rs.1350

Total daily income of A and B = 2 × 400 =Rs.800

Total daily income of B and C = 2 × 430 =Rs.860

∴ B’s daily income =Rs.(800 + 860 – 1350) =Rs.310


Q-7)   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)

(b)

(c)

(d)

Explanation:

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


Q-8)   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)

(b)

(c)

(d)

Explanation:

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


Q-9)   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)

(b)

(c)

(d)

Explanation:

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


Q-10)   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)

(b)

(c)

(d)

Explanation:

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