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Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?
- a)Rs 10,000
- b)Rs 9,000
- c)Rs 11,500
- d)Rs 10,500
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Rs 15,000 is to be invested in 2 schemes, one part is invested in sche...
A) Rs 10,000 Explanation: Rate for 3 yrs on total 15,000: 15000*r*3/100 = 3600 r = 8% By method of allegation: 9.5 5
. 8
3 1.5
2 : 1
So in scheme A, 2/(2+1) * 15000 is invested
. 8
3 1.5
2 : 1
So in scheme A, 2/(2+1) * 15000 is invested
Most Upvoted Answer
Rs 15,000 is to be invested in 2 schemes, one part is invested in sche...
To solve this problem, we can set up a system of equations based on the given information. Let's assume that the amount invested in scheme A is x and the amount invested in scheme B is y.
Given:
Total investment = Rs 15,000
Amount invested in scheme A = x
Amount invested in scheme B = y
Rate of interest in scheme A = 9.5%
Rate of interest in scheme B = 5%
Total interest received after 3 years = Rs 3600
Using the formula for simple interest, we can calculate the interest earned from each scheme:
Interest from scheme A = (x * 9.5% * 3)
Interest from scheme B = (y * 5% * 3)
We know that the total interest received is Rs 3600, so we can set up the following equation:
(x * 9.5% * 3) + (y * 5% * 3) = Rs 3600
Simplifying the equation, we get:
0.285x + 0.15y = 1200
We also know that the total investment is Rs 15,000, so we can set up another equation:
x + y = Rs 15,000
Now we have a system of equations:
0.285x + 0.15y = 1200
x + y = 15000
We can solve this system of equations using any method, such as substitution or elimination. Let's use the elimination method:
Multiply the second equation by 0.285 to make the coefficients of x in both equations the same:
0.285x + 0.285y = 4275
Now subtract this equation from the first equation:
(0.285x + 0.15y) - (0.285x + 0.285y) = 1200 - 4275
Simplifying, we get:
-0.135y = -3075
Dividing both sides by -0.135, we get:
y = 22777.78
Now, substitute this value of y into the second equation to find x:
x + 22777.78 = 15000
x = 15000 - 22777.78
x = -7777.78
Since the amount invested cannot be negative, this solution is not valid.
Therefore, there must be an error in the given question or options, as there is no valid solution.
Given:
Total investment = Rs 15,000
Amount invested in scheme A = x
Amount invested in scheme B = y
Rate of interest in scheme A = 9.5%
Rate of interest in scheme B = 5%
Total interest received after 3 years = Rs 3600
Using the formula for simple interest, we can calculate the interest earned from each scheme:
Interest from scheme A = (x * 9.5% * 3)
Interest from scheme B = (y * 5% * 3)
We know that the total interest received is Rs 3600, so we can set up the following equation:
(x * 9.5% * 3) + (y * 5% * 3) = Rs 3600
Simplifying the equation, we get:
0.285x + 0.15y = 1200
We also know that the total investment is Rs 15,000, so we can set up another equation:
x + y = Rs 15,000
Now we have a system of equations:
0.285x + 0.15y = 1200
x + y = 15000
We can solve this system of equations using any method, such as substitution or elimination. Let's use the elimination method:
Multiply the second equation by 0.285 to make the coefficients of x in both equations the same:
0.285x + 0.285y = 4275
Now subtract this equation from the first equation:
(0.285x + 0.15y) - (0.285x + 0.285y) = 1200 - 4275
Simplifying, we get:
-0.135y = -3075
Dividing both sides by -0.135, we get:
y = 22777.78
Now, substitute this value of y into the second equation to find x:
x + 22777.78 = 15000
x = 15000 - 22777.78
x = -7777.78
Since the amount invested cannot be negative, this solution is not valid.
Therefore, there must be an error in the given question or options, as there is no valid solution.
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Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?a)Rs 10,000b)Rs 9,000c)Rs 11,500d)Rs 10,500e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?a)Rs 10,000b)Rs 9,000c)Rs 11,500d)Rs 10,500e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?a)Rs 10,000b)Rs 9,000c)Rs 11,500d)Rs 10,500e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?a)Rs 10,000b)Rs 9,000c)Rs 11,500d)Rs 10,500e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?a)Rs 10,000b)Rs 9,000c)Rs 11,500d)Rs 10,500e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?a)Rs 10,000b)Rs 9,000c)Rs 11,500d)Rs 10,500e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs 15,000 is to be invested in 2 schemes, one part is invested in scheme A which offers 9.5% rate of interest and remaining part is invested in scheme B which offers 5% rate on interest. After 3 years, a total of Rs 3600 is received as simple interest. What is the part invested in scheme A?a)Rs 10,000b)Rs 9,000c)Rs 11,500d)Rs 10,500e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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