Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A, B and C borrow Rs. 29,200 in all at 4% si...
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A, B and C borrow Rs. 29,200 in all at 4% simple interest and pay back equal amounts in full settlement of their respective debts after 5, 10 and 15 years, respectively. Find the sum borrowed by C.
- a)Rs. 11,200
- b)Rs. 9,600
- c)Rs. 8,400
- d)Rs. 7,600
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A, B and C borrow Rs. 29,200 in all at 4% simple interest and pay bac...
To find the sum borrowed by C, we can use the concept of simple interest and the given information about the repayment periods and interest rate.
Let's assume that each person borrowed x amount of money.
Given:
Total amount borrowed by A, B, and C = Rs. 29,200
Interest rate = 4%
Repayment periods:
A repays after 5 years
B repays after 10 years
C repays after 15 years
Now, we can calculate the amount each person repays using the simple interest formula:
Simple Interest (SI) = (Principal * Interest Rate * Time) / 100
1. Amount repaid by A:
SI(A) = (x * 4 * 5) / 100 = 20x / 100 = 0.2x
2. Amount repaid by B:
SI(B) = (x * 4 * 10) / 100 = 40x / 100 = 0.4x
3. Amount repaid by C:
SI(C) = (x * 4 * 15) / 100 = 60x / 100 = 0.6x
Since the total amount borrowed by A, B, and C is Rs. 29,200, we can write the equation:
x + x + x = 29,200
3x = 29,200
x = 29,200 / 3
x = 9,733.33
Therefore, the sum borrowed by C is approximately Rs. 9,733.33, which is closest to Rs. 8,400 (option C).
Let's assume that each person borrowed x amount of money.
Given:
Total amount borrowed by A, B, and C = Rs. 29,200
Interest rate = 4%
Repayment periods:
A repays after 5 years
B repays after 10 years
C repays after 15 years
Now, we can calculate the amount each person repays using the simple interest formula:
Simple Interest (SI) = (Principal * Interest Rate * Time) / 100
1. Amount repaid by A:
SI(A) = (x * 4 * 5) / 100 = 20x / 100 = 0.2x
2. Amount repaid by B:
SI(B) = (x * 4 * 10) / 100 = 40x / 100 = 0.4x
3. Amount repaid by C:
SI(C) = (x * 4 * 15) / 100 = 60x / 100 = 0.6x
Since the total amount borrowed by A, B, and C is Rs. 29,200, we can write the equation:
x + x + x = 29,200
3x = 29,200
x = 29,200 / 3
x = 9,733.33
Therefore, the sum borrowed by C is approximately Rs. 9,733.33, which is closest to Rs. 8,400 (option C).
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Community Answer
A, B and C borrow Rs. 29,200 in all at 4% simple interest and pay bac...
Suppose A, B and C borrow Rs. x, Rs. y and Rs. z, respectively.
x + y + z = 29,200 .........(i)
Amount paid back by A = Rs. x + x(4)(5/100) = Rs. 6x/5
Amount paid back by B = Rs. y + y(4)(10/100) = Rs. 7y/5
Amount paid back by C = Rs. z + z(4)(15/100) = Rs. 8z/5
6x/5 = 7y/5 = 8z/5
i.e. 6x = 7y = 8z .........(ii)
Solving (i) and (ii) simultaneously, we get
x = 11,200, y = 9,600, z = 8,400
Hence, A, B and C borrow Rs. 11,200, Rs. 9,600 and Rs. 8,400, respectively.
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A, B and C borrow Rs. 29,200 in all at 4% simple interest and pay back equal amounts in full settlement of their respective debts after 5, 10 and 15 years, respectively. Find the sum borrowed by C.a)Rs. 11,200b)Rs. 9,600c)Rs. 8,400d)Rs. 7,600Correct answer is option 'C'. Can you explain this answer?
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