Practice Questions
Concept Explanation
Salary average problems combine basic average with weighted/combined average concepts.
Key Formulas
- Total salary = Average salary × Number of employees
- Combined average = (n₁×S₁ + n₂×S₂) / (n₁ + n₂)
- After increment: new average = old average + increment (if all get same raise)
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Q1 EasyAll 15 employees in a team get a uniform raise of Rs. 2,000. If the old average salary was Rs. 18,000, the new average is:ExplanationIf every value increases by k, the average also increases by k. New average = 18000 + 2000 = Rs. 20,000.
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Q2 EasyBranch P and Branch Q each have 10 employees with average salaries Rs. 28,000 and Rs. 32,000 respectively. The combined average is:ExplanationEqual group sizes → combined average = (28000 + 32000)/2 = Rs. 30,000.
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Q3 MediumThe average salary of 20 workers is Rs. 500. The average salary of 12 of them is Rs. 450. The average salary of the remaining workers is:ExplanationTotal salary of 20 workers = 20 × 500 = Rs. 10,000. Salary of 12 workers = 12 × 450 = Rs. 5,400. Remaining 8 workers earn 10000 − 5400 = Rs. 4,600. Average = 4600/8 = Rs. 575.
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Q4 MediumThe average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:ExplanationP + Q = 2 × 5050 = 10100. Q + R = 2 × 6250 = 12500. P + R = 2 × 5200 = 10400. Adding all three: 2(P + Q + R) = 33000 ⇒ P + Q + R = 16500. Then P = 16500 − (Q + R) = 16500 − 12500 = Rs. 4000.
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Q5 MediumThe average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:ExplanationLet total workers = n. Then 8000n = 7 × 12000 + 6000(n − 7) = 84000 + 6000n − 42000. So 8000n − 6000n = 42000 ⇒ 2000n = 42000 ⇒ n = 21. Alligation: technicians : rest = (8000 − 6000) : (12000 − 8000) = 1 : 2; if 1 part = 7, total = 21.
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Q6 MediumThe average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is also included, the average salary becomes Rs. 1600. What is the manager's monthly salary?ExplanationOld total = 20 × 1500 = Rs. 30,000. New total with manager = 21 × 1600 = Rs. 33,600. Manager's salary = 33600 − 30000 = Rs. 3,600.
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Q7 MediumDept A has 20 employees with average salary Rs. 30,000 and Dept B has 30 employees with average Rs. 40,000. The combined average salary is:ExplanationCombined average = (20 × 30000 + 30 × 40000)/50 = (600000 + 1200000)/50 = 1800000/50 = Rs. 36,000.
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Q8 MediumAverage salary of 8 workers is Rs. 15,000. A manager earning Rs. 35,000 joins. The new average salary is:ExplanationOld sum = 8 × 15000 = 120000. New sum = 120000 + 35000 = 155000 over 9 persons. New average = 155000/9 = Rs. 17,222.22…
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Q9 MediumAverage salary of 11 employees is Rs. 22,000. One employee earning Rs. 33,000 leaves. The new average is:ExplanationOld sum = 11 × 22000 = 242000. New sum = 242000 − 33000 = 209000 over 10 employees. New average = 209000/10 = Rs. 20,900.
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Q10 MediumTeam X (12 members) has average salary Rs. 25,000 and Team Y (18 members) has average Rs. 35,000. Combined average salary is:ExplanationCombined = (12 × 25000 + 18 × 35000)/30 = (300000 + 630000)/30 = 930000/30 = Rs. 31,000.
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Q11 MediumAverage salary rises from Rs. 15,000 to Rs. 16,500 for 20 employees. The total increase in the salary bill is:ExplanationIncrease per employee = 16500 − 15000 = Rs. 1,500. Total increase = 1500 × 20 = Rs. 30,000.
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Q12 HardThe average salary of all the workers in a workshop is Rs. 8000. The average salary of the male workers is Rs. 8600 and that of the female workers is Rs. 7500. The percentage of male workers in the workshop is:ExplanationBy alligation (or weighted average): male : female = (8000 − 7500) : (8600 − 8000) = 500 : 600 = 5 : 6. Percentage of males = 5/(5 + 6) × 100 = 500/11 ≈ 45.45%. Check: if 5 males and 6 females, total salary = 5 × 8600 + 6 × 7500 = 43000 + 45000 = 88000; average = 88000/11 = 8000.
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Q13 HardThe average salary of male employees in a firm is Rs. 5200 and that of females is Rs. 4200. The mean salary of all the employees is Rs. 5000. The percentage of male employees in the firm is:ExplanationLet males = m and females = f. Then 5200m + 4200f = 5000(m + f) ⇒ 200m = 800f ⇒ m/f = 4/1. Percentage of males = 4/(4 + 1) × 100 = 80%.
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Q14 HardAverage salary of 20 employees is Rs. 30,000. The highest salary Rs. 50,000 is replaced by Rs. 40,000. The new average is:ExplanationSum decreases by 10000. New average = 30000 − 10000/20 = 30000 − 500 = Rs. 29,500.
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DS1 Easy
What is the total salary paid to the group?
Statement IThe average salary of 10 employees is Rs. 25,000.
Statement IIThere are exactly 10 employees in the group.
ExplanationStatement I already includes the count 10, so total = 25000 × 10 = Rs. 2,50,000. Statement II alone gives no salary data. -
DS2 Medium
What is the combined average salary of two departments?
Statement IDept A has 20 employees with average salary Rs. 30,000.
Statement IIDept B has 30 employees with average salary Rs. 40,000.
ExplanationBoth departments' sizes and averages are needed. Combined = (600000 + 1200000)/50 = Rs. 36,000.
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DS3 Medium
During a screening round, what is the new average after a manager joins?
Statement IThe average salary of 8 workers is Rs. 15,000.
Statement IIThe manager's salary is Rs. 35,000.
ExplanationTogether: new average = (120000 + 35000)/9 = Rs. 17,222.22…. Neither statement alone is enough. -
DS4 Hard
In a quantitative interview, is the combined average salary above Rs. 30,000?
Statement ITeam X has 12 members with average salary Rs. 25,000.
Statement IITeam Y has 18 members with average salary Rs. 35,000.
ExplanationTogether: combined = 930000/30 = Rs. 31,000, which is above Rs. 30,000. Both statements are required.