Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?
A sum of money of Rs. 1000 is lent out in two parts in such a way that the interest on one part at 10% per annum for 5 years is equal to another at 5% for 10 years. Calculate the sum lent out at 5%.