Question : Rakesh runs a coaching institute having 50 faculty members. The average monthly salary of 35 faculty members is INR 37,500. What will be the average monthly salary (in INR) of the other 15 faculty members, if the average monthly salary of all the 50 faculty members is found to be INR 30,000?
Option 1: 13,000
Option 2: 13,500
Option 3: 12,500
Option 4: 12,000
Correct Answer: 12,500
Solution : Given, Total = 50 Average salary of 35 faculty members = INR 37,500 ⇒ Total salary of 35 faculty members = 37500 × 35 = INR 13,12,500 The average of all the 50 faculty members = INR 30,000 ⇒ Total salary of 50 faculty members = 30000 × 50 = INR 15,00,000 So, the total salary of 15 faculty members = Total salary of 50 faculty members - Total salary of 35 faculty members = INR 15,00,000 – INR 13,12,500 = INR 1,87,500 = Average = $\frac{187500}{15}$ = INR 12,500 Hence, the correct answer is 12,500.
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Question : Sudeep invested $\frac{1}{8}$th of a certain sum at 5% p.a. for two years and $\frac{3}{5}$th of the sum at 6% p.a. for two years and the remaining at 10% p.a. for two years. If the total interest received is INR 1,674, then the total sum invested is:
Option 1: INR 13,000
Option 2: INR 12,000
Option 3: INR 10,500
Option 4: INR 12,500
Question : What is the compound interest on a sum of INR 37,500 for $1 \frac{1}{3}$ years at a rate of 12% p.a. if the interest is compounded 8 - monthly?
Option 1: INR 6,420
Option 2: INR 6,448
Option 3: INR 6,240
Option 4: INR 6,440
Question : Study the given pie chart and answer the question that follows. The pie chart shows the expenditure of a family on different items and their savings throughout the year 2021.
If the total income of the family was INR 1,00,000, how much money (in INR) was spent on the education of the children?
Option 1: 12,500
Option 2: 12,000
Option 3: 13,500
Option 4: 13,000
Question : The monthly incomes of Ravi and Shiv are in the ratio 1 : 2 and their monthly expenditures are in the ratio 1 : 3. If each saves INR 4,000 per month, then find the monthly income of Shiv.
Option 1: INR 16,000
Option 2: INR 18,000
Option 3: INR 14,000
Option 4: INR 20,000
Question : Ramesh spends 40% of his monthly salary on food, 18% on house rent, 12% on entertainment, and 5% on conveyance. However, due to a family function, he has to borrow INR 16,000 from a money lender to meet the expenses of INR 20,000. His monthly salary is:
Option 1: INR 16,500
Option 2: INR 15,000
Option 3: INR 16,000
Option 4: INR 18,000
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