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A sum of 5000 is invested in which the investor gets 800 as simple interest at the rate of 4 percent per annum. To get an interest of 2000 rupees on the same sum in the same number of years, what will be the rate of interest?
  • a)
    5%
  • b)
    10%
  • c)
    15%
  • d)
    20%
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A sum of 5000 is invested in which the investor gets 800 as simple int...
Answer – b) 10% Explanation : 800 = 5000*(4/100)*t, we got t = 4 years now, 2000 = 5000*(r/100)*4, we get r = 10%
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A sum of 5000 is invested in which the investor gets 800 as simple int...
To find the rate of interest that will yield an interest of 2000 rupees on an investment of 5000 rupees, we can use the formula for simple interest:

Simple Interest = (Principal * Rate * Time) / 100

Given that the principal (P) is 5000 rupees and the interest (I) is 2000 rupees, we need to find the rate (R) that will yield this interest. The time (T) is not given, but since we are comparing the same investment for the same number of years in both cases, we can assume the time is the same.

Let's calculate the rate of interest:

2000 = (5000 * R * T) / 100

We can simplify this equation by canceling out the zeros:

20 = 50 * R * T

Dividing both sides of the equation by 50:

0.4 = R * T

Now, since we know that the interest received on the same principal at a rate of 4% is 800 rupees, we can substitute these values into the equation:

800 = (5000 * 4 * T) / 100

Again, canceling out the zeros:

8 = 20 * T

Dividing both sides by 20:

0.4 = T

Now we have two equations:

0.4 = R * T
0.4 = T

Substituting the value of T from the second equation into the first equation:

0.4 = R * 0.4

Dividing both sides by 0.4:

1 = R

Therefore, the rate of interest that will yield an interest of 2000 rupees on an investment of 5000 rupees is 1 or 100%. However, since the options provided are in percentage form, the rate is 100%, which is equivalent to 10% in percentage form.

Therefore, the correct answer is option B) 10%.
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A sum of 5000 is invested in which the investor gets 800 as simple interest at the rate of 4 percent per annum. To get an interest of 2000 rupees on the same sum in the same number of years, what will be the rate of interest?a)5%b)10%c)15%d)20%e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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