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A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?
- a)9 ∶ 13 ∶ 17
- b)18 ∶ 26 ∶ 35
- c)36 ∶ 52 ∶ 67
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if ...
Let the share of Sunil, Anil and jamil be x, y and z respectively.
Hence, x + y + z = 15525
22, 35 and 48 are diminished from the shares of x, y and z respectively
∴ Their share now is (x – 22),(y – 35) and (z – 48)
Total share = x + y + z – 22 – 35 – 48 = 15525 – 105 = 15420
It is given that from this total diminished share ratio of shares of Sunil, anil and Jamil is 7 ∶ 10 ∶ 13.
∴ Share of Sunil = 7/(7 + 10 + 13) × 15420 = 3598
∴ Share of Anil = 5140
And share of Jamil = 6682
∴ The original share for
Sunil is∶ x = 3598 + 22 = 3620
Anil is∶ y = 5140 + 35 = 5175
Jamil is∶ z = 6682 + 48 = 6730
Now 16, 77 and 37 is added respectively to x, y and z
Hence the new ratio = (3620 + 16) ∶ (5175 + 77) ∶ (6730 + 37) = 3636 ∶ 5252 ∶ 6767
∴ New ratio = 3636/101 ∶ 5252/101 ∶ 6767/101 = 36 ∶ 52 ∶ 67
Most Upvoted Answer
A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if ...
Given:
Total sum = Rs 15525
Let the original shares of Sunil, Anil, and Jamil be S, A, and J respectively.
According to the given condition, if Rs 22, Rs 35, and Rs 48 are diminished from their shares respectively, their remaining sums shall be in the ratio 7:10:13.
Therefore, we can write the following equations:
(S - 22) : (A - 35) : (J - 48) = 7x : 10x : 13x ----(1)
where x is a common ratio.
Let's solve equation (1) to find the value of x.
(S - 22) : (A - 35) : (J - 48) = 7x : 10x : 13x
=> (S - 22)/(A - 35) = 7x/10x
=> (S - 22)/(A - 35) = 7/10
=> 10(S - 22) = 7(A - 35)
=> 10S - 220 = 7A - 245
=> 10S - 7A = -25 ----(2)
Similarly, we can write another equation using the third term of the ratio:
(A - 35)/(J - 48) = 10x/13x
=> (A - 35)/(J - 48) = 10/13
=> 13(A - 35) = 10(J - 48)
=> 13A - 455 = 10J - 480
=> 13A - 10J = -25 ----(3)
Now, let's solve equations (2) and (3) simultaneously to find the values of S, A, and J.
Multiplying equation (2) by 13 and equation (3) by 10, we get:
130S - 91A = -325 ----(4)
130A - 100J = -250 ----(5)
Adding equations (4) and (5), we get:
130S - 91A + 130A - 100J = -325 - 250
130S + 39A - 100J = -575 ----(6)
Now, let's consider the total sum of Rs 15525.
S + A + J = 15525
S = 15525 - A - J ----(7)
Substituting equation (7) in equation (6), we get:
130(15525 - A - J) + 39A - 100J = -575
2017500 - 130A - 130J + 39A - 100J = -575
-91A - 230J = -2018075
91A + 230J = 2018075 ----(8)
Now, let's solve equations (2) and (8) simultaneously to find the values of A and J.
Multiplying equation (2) by 91 and equation (8) by 10, we get:
910S - 637A = -2275 ----(9)
910A + 2300J = 20180750 ----(10)
Adding equations (9) and (10), we get:
910S - 637
Total sum = Rs 15525
Let the original shares of Sunil, Anil, and Jamil be S, A, and J respectively.
According to the given condition, if Rs 22, Rs 35, and Rs 48 are diminished from their shares respectively, their remaining sums shall be in the ratio 7:10:13.
Therefore, we can write the following equations:
(S - 22) : (A - 35) : (J - 48) = 7x : 10x : 13x ----(1)
where x is a common ratio.
Let's solve equation (1) to find the value of x.
(S - 22) : (A - 35) : (J - 48) = 7x : 10x : 13x
=> (S - 22)/(A - 35) = 7x/10x
=> (S - 22)/(A - 35) = 7/10
=> 10(S - 22) = 7(A - 35)
=> 10S - 220 = 7A - 245
=> 10S - 7A = -25 ----(2)
Similarly, we can write another equation using the third term of the ratio:
(A - 35)/(J - 48) = 10x/13x
=> (A - 35)/(J - 48) = 10/13
=> 13(A - 35) = 10(J - 48)
=> 13A - 455 = 10J - 480
=> 13A - 10J = -25 ----(3)
Now, let's solve equations (2) and (3) simultaneously to find the values of S, A, and J.
Multiplying equation (2) by 13 and equation (3) by 10, we get:
130S - 91A = -325 ----(4)
130A - 100J = -250 ----(5)
Adding equations (4) and (5), we get:
130S - 91A + 130A - 100J = -325 - 250
130S + 39A - 100J = -575 ----(6)
Now, let's consider the total sum of Rs 15525.
S + A + J = 15525
S = 15525 - A - J ----(7)
Substituting equation (7) in equation (6), we get:
130(15525 - A - J) + 39A - 100J = -575
2017500 - 130A - 130J + 39A - 100J = -575
-91A - 230J = -2018075
91A + 230J = 2018075 ----(8)
Now, let's solve equations (2) and (8) simultaneously to find the values of A and J.
Multiplying equation (2) by 91 and equation (8) by 10, we get:
910S - 637A = -2275 ----(9)
910A + 2300J = 20180750 ----(10)
Adding equations (9) and (10), we get:
910S - 637
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A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?a)9 ∶ 13 ∶ 17b)18 ∶ 26 ∶ 35c)36 ∶ 52 ∶ 67d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?a)9 ∶ 13 ∶ 17b)18 ∶ 26 ∶ 35c)36 ∶ 52 ∶ 67d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?a)9 ∶ 13 ∶ 17b)18 ∶ 26 ∶ 35c)36 ∶ 52 ∶ 67d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?a)9 ∶ 13 ∶ 17b)18 ∶ 26 ∶ 35c)36 ∶ 52 ∶ 67d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?a)9 ∶ 13 ∶ 17b)18 ∶ 26 ∶ 35c)36 ∶ 52 ∶ 67d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?a)9 ∶ 13 ∶ 17b)18 ∶ 26 ∶ 35c)36 ∶ 52 ∶ 67d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 ∶ 10 ∶ 13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?a)9 ∶ 13 ∶ 17b)18 ∶ 26 ∶ 35c)36 ∶ 52 ∶ 67d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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