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A part of 70000 is lent out at 10% annum. The rest of the amount is lent out at 5% per annum after one year. The ratio of interest after 3 years from the time when first amount was lent out is 1:2. Find the second part that was lent out at 5%.
  • a)
    40000
  • b)
    50000
  • c)
    60000
  • d)
    48000
  • e)
    55000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A part of 70000 is lent out at 10% annum. The rest of the amount is le...
10*3*x/5*2*y = 1/2
x/y = 1/6
6/7*70000 = 60000
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Most Upvoted Answer
A part of 70000 is lent out at 10% annum. The rest of the amount is le...
Given:

- Total amount = 70000
- Part 1 = x (lent out at 10% per annum)
- Part 2 = 70000 - x (lent out at 5% per annum after one year)
- Ratio of interest after 3 years = 1:2

To Find: Second part of the amount that was lent out at 5% per annum

Solution:

Let's calculate the interest earned on both parts separately.

Interest earned on Part 1 after 3 years:

I1 = x * 10/100 * 3 = 0.3x

Interest earned on Part 2 after 2 years (since it was lent out at 5% per annum after one year):

I2 = (70000 - x) * 5/100 * 2 = 0.1(70000 - x)

Total interest earned after 3 years:

I1 + I2 = 0.3x + 0.1(70000 - x) = 21000 - 0.2x

Given that the ratio of interest earned after 3 years is 1:2, we can write:

I1 : I2 = 1 : 2

Substituting the values of I1 and I2, we get:

0.3x : 0.1(70000 - x) = 1 : 2

Simplifying the above equation, we get:

3x : 7000 - x = 1 : 2

Multiplying both sides by 2, we get:

6x = 7000 - x

7x = 7000

x = 1000

Therefore, Part 1 = x = 1000

And Part 2 = 70000 - x = 69000

Hence, the second part that was lent out at 5% per annum = 69000

Therefore, the correct answer is option C (60000).
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Community Answer
A part of 70000 is lent out at 10% annum. The rest of the amount is le...
10*3*x/5*2*y = 1/2
x/y = 1/6
6/7*70000 = 60000
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A part of 70000 is lent out at 10% annum. The rest of the amount is lent out at 5% per annum after one year. The ratio of interest after 3 years from the time when first amount was lent out is 1:2. Find the second part that was lent out at 5%.a)40000b)50000c)60000d)48000e)55000Correct answer is option 'C'. Can you explain this answer?
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