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    Question

    The average salary of 36 employees ( Teachers+principals) in a School is Rs.10,375. A Principal in the School receives a salary that is 125% higher than that of a Teacher. Given that the number of Principals in the School is 40% more than the number of Teachers calculate the total salary of all the Teachers in the School.

    A Rs.90,500 Correct Answer Incorrect Answer
    B Rs.90,050 Correct Answer Incorrect Answer
    C Rs.90,000 Correct Answer Incorrect Answer
    D Rs.85,000 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    We can say that Let the number of Teachers in the School be ‘t’. So, the number of Principal in the School = 1.4t = 36 – t 2.4t = 36 t = 15 So, there are 15 Teachers and 21 Principal in the School  Let the salary of a Teachers in the School be Rs. ‘s’. So, the salary of an Principal in the Scchool = Rs.2.25s According to question:  15s + 2.25s × 21 = 36 × 10375 15s + 47.25s = 373500 62.25s = 373500 s = 6000 So the salary of all the Teachers in the School together  = 15 × 6000  = Rs.90,000

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