The simple Interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 year, the total interest at the end of 10 years will be.a)900b)600c)1800d)1200Correct answer is option 'D'. Can you explain this answer?

Question

Answer

The Problem
The problem states that the simple interest on a certain sum of money is Rs. 600 after 10 years. It also mentions that the principal is tripled after 5 years. We need to determine the total interest at the end of 10 years.

Solution
To solve this problem, we need to break it down into smaller steps.

Step 1: Finding the Principal
Let's assume the principal amount is 'P'. We know that the simple interest is given by the formula: Interest = (Principal * Rate * Time) / 100.

Given that the simple interest is Rs. 600 and the time is 10 years, we can rewrite the formula as: 600 = (P * Rate * 10) / 100.

Simplifying the equation, we get: 6000 = P * Rate.

Step 2: Finding the Rate
Since we only have one equation and two variables (P and Rate), we need another equation to solve for both variables. This is where the fact that the principal is tripled after 5 years becomes useful.

After 5 years, the principal becomes 3P. The simple interest after the first 5 years can be calculated using the formula mentioned earlier: 600 = (3P * Rate * 5) / 100.

Simplifying the equation, we get: 6000 = 15P * Rate.

Step 3: Solving the Equations
Now we have two equations:
1) 6000 = P * Rate
2) 6000 = 15P * Rate

Dividing equation 2 by equation 1, we get: (6000 / P) = (15P * Rate) / (P * Rate).

Simplifying the equation, we get: 1 = 15.

This equation is not possible, which means there is an error in the problem statement or the calculations. It is not possible for the rate to be 15.

Therefore, there is no valid solution to this problem.

Similar Teaching Doubts

The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years. What will be the total interest at the end of tenth year?

A person lent Rs. 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum, at simple interest for purchased a wristwatch. The total interest after 2 years is Rs. 440. The sum of money lent at each of the above rates is to be divided in the ratio

A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs 500 less than the sum lent. What was the sum lent?

Anubhav lends Rs. 2500 to Bose and a certain sum to Chandra at the same time at 7% annual simple interest. If after 4 years Anubhav received interest of Rs. 1120 from Bose and Chandra, the sum lent to Chandra is

The SI and CI that can be earned by a man in two years at the same rate is Rs 8000 and Rs 8360 respectively. If he gives a loan of Rs 15000 to his friend at the same rate (percent per annum) of interest at simple interest, how much will he earn from his friend in 3 years?

Top Courses for Teaching

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams