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Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?
- a)Rs 1,458
- b)Rs 1,556
- c)Rs 2,358
- d)Rs 1,237
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Arun divides Rs 4702 among A, B, and C, so that if the amounts being i...
B) Rs 1,556 Explanation: 4702 will be divided in ratio – 1/[100+rt1] : 1/[100+rt2] : 1/[100+rt3] 1/[100+4*2] : 1/[100+4*3] : 1/[100+4*4] 1/108 : 1/112 : 1/116
= 812 : 783 : 756
So B gets 783/(812+783+756) * 4702 = 1566
= 812 : 783 : 756
So B gets 783/(812+783+756) * 4702 = 1566
Most Upvoted Answer
Arun divides Rs 4702 among A, B, and C, so that if the amounts being i...
Given information:
- The total amount divided by Arun among A, B, and C is Rs 4702.
- The amounts invested by A, B, and C are given for 2, 3, and 4 years, respectively.
- The amounts received by A, B, and C after 2, 3, and 4 years, respectively, are equal.
Let's assume the amount invested by A, B, and C as x, y, and z, respectively.
Amount received by A after 2 years = x + (2 * x * 0.04) = x + (0.08x) = 1.08x
Amount received by B after 3 years = y + (3 * y * 0.04) = y + (0.12y) = 1.12y
Amount received by C after 4 years = z + (4 * z * 0.04) = z + (0.16z) = 1.16z
As per the given information, the amounts received by A, B, and C after 2, 3, and 4 years, respectively, are equal. Therefore, we can write the following equation:
1.08x = 1.12y = 1.16z
We know that x + y + z = Rs 4702.
To find the share of B, we need to calculate the value of y.
Calculation:
Let's solve the equation using the given information.
1.08x = 1.12y = 1.16z
From the equation, we can write:
1.08x = 1.12y
x/y = 1.12/1.08
x/y = 28/27
1.12y = 1.16z
y/z = 1.16/1.12
y/z = 29/28
We have the equation:
x/y = 28/27
y/z = 29/28
Let's solve these equations:
x/y = 28/27
Cross multiply:
27x = 28y
x = (28/27)y ----(1)
y/z = 29/28
Cross multiply:
28y = 29z
y = (29/28)z ----(2)
Substitute the value of y from equation (2) into equation (1):
x = (28/27)(29/28)z
x = (29/27)z
Now, substitute the values of x and y in the equation x + y + z = Rs 4702:
(29/27)z + (29/28)z + z = 4702
Multiplying through by 27 * 28:
(29 * 28 * z) + (29 * 27 * z) + (27 * 28 * z) = 4702 * 27 * 28
Simplifying:
(29(28z + 27z) + 27 * 28 * z) = 4702 * 27 * 28
(28z + 27z + 27z) = 4702
82z = 4702
z = 4702/82
z = 57.244
Therefore, the share of B (y) = (
- The total amount divided by Arun among A, B, and C is Rs 4702.
- The amounts invested by A, B, and C are given for 2, 3, and 4 years, respectively.
- The amounts received by A, B, and C after 2, 3, and 4 years, respectively, are equal.
Let's assume the amount invested by A, B, and C as x, y, and z, respectively.
Amount received by A after 2 years = x + (2 * x * 0.04) = x + (0.08x) = 1.08x
Amount received by B after 3 years = y + (3 * y * 0.04) = y + (0.12y) = 1.12y
Amount received by C after 4 years = z + (4 * z * 0.04) = z + (0.16z) = 1.16z
As per the given information, the amounts received by A, B, and C after 2, 3, and 4 years, respectively, are equal. Therefore, we can write the following equation:
1.08x = 1.12y = 1.16z
We know that x + y + z = Rs 4702.
To find the share of B, we need to calculate the value of y.
Calculation:
Let's solve the equation using the given information.
1.08x = 1.12y = 1.16z
From the equation, we can write:
1.08x = 1.12y
x/y = 1.12/1.08
x/y = 28/27
1.12y = 1.16z
y/z = 1.16/1.12
y/z = 29/28
We have the equation:
x/y = 28/27
y/z = 29/28
Let's solve these equations:
x/y = 28/27
Cross multiply:
27x = 28y
x = (28/27)y ----(1)
y/z = 29/28
Cross multiply:
28y = 29z
y = (29/28)z ----(2)
Substitute the value of y from equation (2) into equation (1):
x = (28/27)(29/28)z
x = (29/27)z
Now, substitute the values of x and y in the equation x + y + z = Rs 4702:
(29/27)z + (29/28)z + z = 4702
Multiplying through by 27 * 28:
(29 * 28 * z) + (29 * 27 * z) + (27 * 28 * z) = 4702 * 27 * 28
Simplifying:
(29(28z + 27z) + 27 * 28 * z) = 4702 * 27 * 28
(28z + 27z + 27z) = 4702
82z = 4702
z = 4702/82
z = 57.244
Therefore, the share of B (y) = (
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Community Answer
Arun divides Rs 4702 among A, B, and C, so that if the amounts being i...
B) Rs 1,556 Explanation: 4702 will be divided in ratio – 1/[100+rt1] : 1/[100+rt2] : 1/[100+rt3] 1/[100+4*2] : 1/[100+4*3] : 1/[100+4*4] 1/108 : 1/112 : 1/116
= 812 : 783 : 756
So B gets 783/(812+783+756) * 4702 = 1566
= 812 : 783 : 756
So B gets 783/(812+783+756) * 4702 = 1566
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Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. 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 Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. 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 Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Arun divides Rs 4702 among A, B, and C, so that if the amounts being invested at 4% simple interest, the amounts received after 2, 3 and 4 yrs by A, B, and C respectively is equal. Find the share of B?a)Rs 1,458b)Rs 1,556c)Rs 2,358d)Rs 1,237e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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