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

Question : 11 [SSC CGL Tier-II 2016]

The average daily income of 7 men, 11 women and 2 boys is Rs. 257.50. If the average daily income of the men is Rs.10 more than that of women and the average daily income of the women is Rs.10 more than that of boys, the average daily income of a man is

a) Rs. 257

b) Rs. 265

c) Rs. 250

d) Rs. 277.5

Answer: (b)

Average daily salary :

Men ⇒ Rs. x (let).

Women ⇒ Rs. (x – 10)

Boys ⇒ Rs. (x – 20)

According to the question,

7x + 11 (x – 10) + 2 (x – 20) = 20 × 257.5

⇒ 7x + 11x – 110 + 2x – 40 = 5150

⇒ 20x – 150 = 5150

⇒ 20x = 5150 + 150 = 5300

⇒ x = $5300/20$ = Rs. 265

Question : 12 [SSC CGL Prelim 2002]

The average monthly income of A and B is Rs.14000, that of B and C is Rs.15600 and A and C is Rs.14400. The monthly income of C is

a) Rs.15500

b) Rs.14000

c) Rs.15000

d) Rs.16000

Answer: (d)

A + B =Rs.28,000 ...(i)

B + C = Rs.31,200 ...(ii)

C + A = Rs. 28,800 ...(iii)

Adding,

2(A + B + C) = 88000

⇒ A + B + C = 44000

From equation (i),

28000 + C = 44000

⇒ C = 44000 – 28000 = Rs.16000

Question : 13 [SSC CGL Tier-I 2014]

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) 1032

b) 1020

c) 1035

d) 1030

Answer: (a)

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

Question : 14 [SSC Data Entry Operator 2008]

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) Rs.425

b) Rs.415

c) Rs.310

d) Rs.300

Answer: (c)

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

Question : 15 [SSC CGL Tier-I 2016]

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) 15

b) 14

c) 13

d) 12

Answer: (b)

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

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