Twelve percent of bananas bought by a fruit vendor got lost during transportation. On selling the remaining bananas, the vendor's overall profit turned out to be 4%. If the vendor had not lost any bananas and had sold them at the price of the remaining bananas, what would have been his profit percentage?
Consider the following statements:
1. If n is a natural number, then the number \( \frac{n(n^{2} + 2)}{3} \) is also a natural number.
2. If m is an odd integer, then the number \( \frac{m^{4} + 4m^{2} + 11}{16} \) is an integer.
Which of the statements given above is/are correct?
In a business dealing, A owes B ₹ 20,000 payable after 5 years, whereas B owes A ₹ 12,000 payable after 4 years. They want to settle it now at the rate of 5% simple interest. Who gives how much money in this settlement?
Average marks in Mathematics of Section A comprising 30 students is 65 and that of Section B comprising 35 students is 70. What are the average marks (approximately) of both the sections if it was detected later that an entry of 47 marks was wrongly made as 74?
