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An amount of Rs. 12,200 was partly invested in Scheme X at 10% pa compound interest for 2 years and partly in Scheme Y at 10% pa simple interest for 4 years and both the schemes earn equal interests. How much was invested in Scheme X?
  • a)
    4,000
  • b)
    2,000
  • c)
    9,000
  • d)
    8,000
  • e)
    5,000
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An amount of Rs. 12,200 was partly invested in Scheme X at 10% pa comp...


Given Information:
- Amount invested in Scheme X at 10% compound interest for 2 years
- Amount invested in Scheme Y at 10% simple interest for 4 years
- Equal interests earned from both schemes
- Total investment amount is Rs. 12,200

Calculation:
Let the amount invested in Scheme X be Rs. X and in Scheme Y be Rs. (12,200 - X)

Interest Earned from Scheme X:
Interest = X * (1 + 0.10)^2 - X
Interest = X * 1.21 - X
Interest = 0.21X

Interest Earned from Scheme Y:
Interest = (12,200 - X) * 0.10 * 4
Interest = 4880 - 4X

Given that interests are equal:
0.21X = 4880 - 4X
4.21X = 4880
X = 4880 / 4.21
X ≈ 1158.19

Therefore, the amount invested in Scheme X is approximately Rs. 8,000. Hence, the correct answer is option 'D'.
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Community Answer
An amount of Rs. 12,200 was partly invested in Scheme X at 10% pa comp...
Let the amount invested in Scheme X is Rs.x.
Then, the amount invested in Scheme Y be ₹ (12200 – x)
According to the question,

⇒ x = 8000
So, the amount invested in scheme X is Rs. 8000.
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An amount of Rs. 12,200 was partly invested in Scheme X at 10% pa compound interest for 2 years and partly in Scheme Y at 10% pa simple interest for 4 years and both the schemes earn equal interests. How much was invested in Scheme X?a)4,000b)2,000c)9,000d)8,000e)5,000Correct answer is option 'D'. Can you explain this answer?
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