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An equal amount of sum is invested in two schemes for four years each, both offering simple interest. When invested in scheme A at 8% per annum the sum amounts to Rs.5280. In scheme B, invested at 12% per annum it amounts to Rs.5920. What is the total sum invested?
  • a)
    5000
  • b)
    9000
  • c)
    7000
  • d)
    8000
  • e)
    None of the Above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An equal amount of sum is invested in two schemes for four years each,...
D. 8000
Explanation: Sum = x x + [(x*4*8)/100] = 5280 33x = (5280*25) = 4000 Total sum = 2 * 4000 = 8000
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An equal amount of sum is invested in two schemes for four years each,...
Given:
- Sum invested in scheme A for 4 years at 8% per annum amounts to Rs. 5280.
- Sum invested in scheme B for 4 years at 12% per annum amounts to Rs. 5920.

To find:
- Total sum invested.

Solution:
Let's assume that the equal amount invested in both schemes is 'x'.

Step 1: Calculate the amount in scheme A:
Using the formula for simple interest, we can calculate the amount in scheme A after 4 years:
Amount = Principal + Interest
Amount in scheme A = x + (x * 8% * 4)
Amount in scheme A = x + (32x / 100)
Amount in scheme A = (100x + 32x) / 100
Amount in scheme A = 132x / 100

Given that the amount in scheme A is Rs. 5280, we can write the equation as:
132x / 100 = 5280
132x = 5280 * 100
132x = 528000
x = 528000 / 132
x = 4000

Step 2: Calculate the amount in scheme B:
Using the same formula, we can calculate the amount in scheme B after 4 years:
Amount = Principal + Interest
Amount in scheme B = x + (x * 12% * 4)
Amount in scheme B = x + (48x / 100)
Amount in scheme B = (100x + 48x) / 100
Amount in scheme B = 148x / 100

Given that the amount in scheme B is Rs. 5920, we can write the equation as:
148x / 100 = 5920
148x = 5920 * 100
148x = 592000
x = 592000 / 148
x = 4000

Step 3: Calculate the total sum invested:
Since the equal amount invested in both schemes is 'x', the total sum invested is twice the amount invested in one scheme:
Total sum invested = 2x
Total sum invested = 2 * 4000
Total sum invested = 8000

Therefore, the total sum invested is Rs. 8000.
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An equal amount of sum is invested in two schemes for four years each, both offering simple interest. When invested in scheme A at 8% per annum the sum amounts to Rs.5280. In scheme B, invested at 12% per annum it amounts to Rs.5920. What is the total sum invested?a)5000b)9000c)7000d)8000e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
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