Question : The average salary of all staff of a school is Rs. 10,000. The average salary of 20 teaching staff is Rs 12,000 and that of non-teaching staff is Rs. 5,000, the number of non-teaching staff will be
Option 1: 7
Option 2: 8
Option 3: 10
Option 4: 12
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Correct Answer: 8
Solution : Average salary of all staff = Rs. 10,000 Average salary of 20 teaching staff = Rs. 12,000 Average salary of non-teaching staff = Rs. 5,000 Let the number of non-teaching staff be $x$. Total salary of non-teaching staff = Rs. $,5000x$ Total salary of teaching staff = Rs. $12000 \times 20$ = Rs. 2,40,000 Total salary of all staff = Rs. $10000 \times (x + 20)$ = Rs. $(10000x + 200000)$ $⇒ 5000x + 240000 = 10000x + 200000$ $⇒ 40000 = 5000x$ $⇒ x = 8$ ∴ The total non-teaching staff is 8. Hence, the correct answer is 8.
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