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A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2 years, 3 years and 6 years may be equal at the rate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part of the sum will be.
- a)Rs.4,000
- b)Rs.8,000
- c)Rs.10,000
- d)Rs.12,000
Correct answer is option 'B'. Can you explain this answer?
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A sum of 44,000 is divided into 3 parts such that the corresponding in...
Given:
Total sum = Rs. 44,000
Interest rates = 6% p.a, 8% p.a, 6% p.a
Time periods = 2 years, 3 years, 6 years
To find:
Smallest part of the sum
Solution:
Let the three parts of the sum be x, y, and z.
According to the given information,
Simple interest earned on x at 6% p.a for 2 years = Simple interest earned on y at 8% p.a for 3 years = Simple interest earned on z at 6% p.a for 6 years
Using the formula for simple interest, we can write:
SI = (P × R × T) / 100
where,
SI = Simple interest
P = Principal amount
R = Rate of interest
T = Time period
Therefore, we can write the following equations:
(x × 6 × 2) / 100 = (y × 8 × 3) / 100 = (z × 6 × 6) / 100
Simplifying the above equations, we get:
3x = 4y = 18z
Also, we know that x + y + z = 44,000
Therefore, we can write:
y = (3/4) x
z = (1/6) x
Substituting these values in the equation x + y + z = 44,000, we get:
x + (3/4) x + (1/6) x = 44,000
Simplifying the above equation, we get:
x = Rs. 24,000
Therefore, the smallest part of the sum is (1/6) x = (1/6) × 24,000 = Rs. 4,000
Hence, the correct answer is option (B) Rs. 8,000.
Note: The other two parts of the sum can be calculated as follows:
y = (3/4) x = (3/4) × 24,000 = Rs. 18,000
z = (1/6) x = (1/6) × 24,000 = Rs. 4,000
Total sum = Rs. 44,000
Interest rates = 6% p.a, 8% p.a, 6% p.a
Time periods = 2 years, 3 years, 6 years
To find:
Smallest part of the sum
Solution:
Let the three parts of the sum be x, y, and z.
According to the given information,
Simple interest earned on x at 6% p.a for 2 years = Simple interest earned on y at 8% p.a for 3 years = Simple interest earned on z at 6% p.a for 6 years
Using the formula for simple interest, we can write:
SI = (P × R × T) / 100
where,
SI = Simple interest
P = Principal amount
R = Rate of interest
T = Time period
Therefore, we can write the following equations:
(x × 6 × 2) / 100 = (y × 8 × 3) / 100 = (z × 6 × 6) / 100
Simplifying the above equations, we get:
3x = 4y = 18z
Also, we know that x + y + z = 44,000
Therefore, we can write:
y = (3/4) x
z = (1/6) x
Substituting these values in the equation x + y + z = 44,000, we get:
x + (3/4) x + (1/6) x = 44,000
Simplifying the above equation, we get:
x = Rs. 24,000
Therefore, the smallest part of the sum is (1/6) x = (1/6) × 24,000 = Rs. 4,000
Hence, the correct answer is option (B) Rs. 8,000.
Note: The other two parts of the sum can be calculated as follows:
y = (3/4) x = (3/4) × 24,000 = Rs. 18,000
z = (1/6) x = (1/6) × 24,000 = Rs. 4,000
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A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer?
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A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer?.
A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer?.
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A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A sum of 44,000 is divided into 3 parts such that the corresponding interest earned after 2years, 3 years and 6 years may be equal at therate of simple interest are 6% p.a, 8% p.a. & 6% p.a., respectively. Then the smallest part ofthe sum will be.a)Rs.4,000b)Rs.8,000c)Rs.10,000d)Rs.12,000Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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