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Rs.750 are divided among A, B and C in such a manner that A : B is 5 : 2 and B : C is 7 : 13. What is A’s share?
- a)Rs.140
- b)Rs. 350
- c)Rs. 250
- d)Rs. 260
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Rs.750 are divided among A, B and C in such a manner that A : B is 5 :...
Understanding the Ratios
To solve the problem, we need to interpret the ratios given for A, B, and C.
- A : B = 5 : 2
- B : C = 7 : 13
Finding a Common Ratio
1. Express B in terms of A:
- From A : B = 5 : 2, we can express B as:
- B = (2/5)A
2. Express C in terms of B:
- From B : C = 7 : 13, we can express C as:
- C = (13/7)B
3. Substituting B:
- Replace B in the equation for C:
- C = (13/7) * (2/5)A
- C = (26/35)A
Setting Up the Total
Now, we have:
- A = A
- B = (2/5)A
- C = (26/35)A
Summing the Shares
The total amount can be expressed as:
- Total = A + B + C
- Total = A + (2/5)A + (26/35)A
To combine these, we first need a common denominator, which is 35:
- A = (35/35)A
- B = (14/35)A
- C = (26/35)A
Now, summing these gives:
- Total = (35/35 + 14/35 + 26/35)A = (75/35)A = (15/7)A
Calculating A's Share
We know that the total amount is Rs. 750. Therefore:
- (15/7)A = 750
To find A:
A = 750 * (7/15) = 350
Conclusion
Thus, A’s share is:
- Rs. 350
Hence, the correct answer is option 'B'.
To solve the problem, we need to interpret the ratios given for A, B, and C.
- A : B = 5 : 2
- B : C = 7 : 13
Finding a Common Ratio
1. Express B in terms of A:
- From A : B = 5 : 2, we can express B as:
- B = (2/5)A
2. Express C in terms of B:
- From B : C = 7 : 13, we can express C as:
- C = (13/7)B
3. Substituting B:
- Replace B in the equation for C:
- C = (13/7) * (2/5)A
- C = (26/35)A
Setting Up the Total
Now, we have:
- A = A
- B = (2/5)A
- C = (26/35)A
Summing the Shares
The total amount can be expressed as:
- Total = A + B + C
- Total = A + (2/5)A + (26/35)A
To combine these, we first need a common denominator, which is 35:
- A = (35/35)A
- B = (14/35)A
- C = (26/35)A
Now, summing these gives:
- Total = (35/35 + 14/35 + 26/35)A = (75/35)A = (15/7)A
Calculating A's Share
We know that the total amount is Rs. 750. Therefore:
- (15/7)A = 750
To find A:
A = 750 * (7/15) = 350
Conclusion
Thus, A’s share is:
- Rs. 350
Hence, the correct answer is option 'B'.
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Community Answer
Rs.750 are divided among A, B and C in such a manner that A : B is 5 :...
Given:
Total rupees = Rs 750
Calculation:
A : B = 5 : 2
B : C = 7 : 13
A : B : C = 5 × 7 : 2 × 7 : 2 × 13 = 35 : 14 : 26
Total Sum = 750
⇒ 35 x + 14x + 26x = 750
⇒ x = 10
So, A's share = 35 × 10 = Rs 350
∴ The required answer is Rs 350
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Question Description
Rs.750 are divided among A, B and C in such a manner that A : B is 5 : 2 and B : C is 7 : 13. What is A’s share?a)Rs.140b)Rs. 350c)Rs. 250d)Rs. 260Correct answer is option 'B'. Can you explain this answer? for SAT 2026 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Rs.750 are divided among A, B and C in such a manner that A : B is 5 : 2 and B : C is 7 : 13. What is A’s share?a)Rs.140b)Rs. 350c)Rs. 250d)Rs. 260Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs.750 are divided among A, B and C in such a manner that A : B is 5 : 2 and B : C is 7 : 13. What is A’s share?a)Rs.140b)Rs. 350c)Rs. 250d)Rs. 260Correct answer is option 'B'. Can you explain this answer?.
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