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A person deposited Rs. 48000 at 10% p.a. simple interest for 2 years and Rs. X at 10% p.a. simple interest for 4 years. If his overall interest is 25% of the overall amount, what is the value of X?
- a)12,000
- b)16,000
- c)20,000
- d)24,000
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A person deposited Rs. 48000 at 10% p.a. simple interest for 2 years a...
Interest of 2 years at 10% p.a. = 10% × 2 = 20%
Interest of 4 years at 10% p.a. = 10% × 4 = 40%
15% : 5% = 3 : 1
Hence, Option B is correct.
Interest of 4 years at 10% p.a. = 10% × 4 = 40%
15% : 5% = 3 : 1
Hence, Option B is correct.
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Community Answer
A person deposited Rs. 48000 at 10% p.a. simple interest for 2 years a...
Given data:
- Principal amount for 2 years: Rs. 48,000
- Rate of interest: 10%
- Overall interest: 25%
- Time for 2 years and 4 years
Calculating interest earned:
- For the principal amount of Rs. 48,000 at 10% p.a. for 2 years, the interest earned = Rs. 48,000 * 10% * 2 = Rs. 9,600
- Let the principal amount for X at 10% p.a. for 4 years be Rs. Y.
- The interest earned for X = Y * 10% * 4 = 0.4Y
Calculating overall interest:
- Total overall amount = Rs. 48,000 + Rs. X
- Total overall interest = Rs. 9,600 + 0.4Y
- As per the given condition, total overall interest = 25% of the total overall amount
- 25% of (Rs. 48,000 + Rs. X) = Rs. 9,600 + 0.4Y
- 0.25(48,000 + X) = 9,600 + 0.4Y
- 12,000 + 0.25X = 9,600 + 0.4Y
- 0.4Y - 0.25X = 2,400
- 40Y - 25X = 24,000
Solving for X:
- From the above equation, we know 40Y - 25X = 24,000
- As we know Y = X, substitute this in the equation
- 40X - 25X = 24,000
- 15X = 24,000
- X = 24,000 / 15
- X = 16,000
Therefore, the value of X is Rs. 16,000. Hence, option B is the correct answer.
- Principal amount for 2 years: Rs. 48,000
- Rate of interest: 10%
- Overall interest: 25%
- Time for 2 years and 4 years
Calculating interest earned:
- For the principal amount of Rs. 48,000 at 10% p.a. for 2 years, the interest earned = Rs. 48,000 * 10% * 2 = Rs. 9,600
- Let the principal amount for X at 10% p.a. for 4 years be Rs. Y.
- The interest earned for X = Y * 10% * 4 = 0.4Y
Calculating overall interest:
- Total overall amount = Rs. 48,000 + Rs. X
- Total overall interest = Rs. 9,600 + 0.4Y
- As per the given condition, total overall interest = 25% of the total overall amount
- 25% of (Rs. 48,000 + Rs. X) = Rs. 9,600 + 0.4Y
- 0.25(48,000 + X) = 9,600 + 0.4Y
- 12,000 + 0.25X = 9,600 + 0.4Y
- 0.4Y - 0.25X = 2,400
- 40Y - 25X = 24,000
Solving for X:
- From the above equation, we know 40Y - 25X = 24,000
- As we know Y = X, substitute this in the equation
- 40X - 25X = 24,000
- 15X = 24,000
- X = 24,000 / 15
- X = 16,000
Therefore, the value of X is Rs. 16,000. Hence, option B is the correct answer.
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A person deposited Rs. 48000 at 10% p.a. simple interest for 2 years and Rs. X at 10% p.a. simple interest for 4 years. If his overall interest is 25% of the overall amount, what is the value of X?a)12,000b)16,000c)20,000d)24,000Correct answer is option 'B'. Can you explain this answer?
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