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Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then?
- a)Rs 2700
- b)Rs 2725
- c)Rs 2750
- d)Rs 2625
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Rs 5750 is divided among A, B, and C such that if their share be reduc...
B) Rs 2725 Explanation: When the shares reduce, the total amount will also reduce which is to be divided among them. So after reducing shares by Rs 10, Rs 15 and Rs 25 respectively, total amount is 5750 – (10+15+25) = 5700 So C’s share shall be [9/(4+6+9)] * 5700 = 2700 Actually C would have received = 2700 + 25
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Community Answer
Rs 5750 is divided among A, B, and C such that if their share be reduc...
's share?
Let the shares of A, B, and C be x, y, and z respectively.
According to the given information,
x + y + z = 5750 ...(1)
After reducing their shares by Rs 10, Rs 15, and Rs 25 respectively, the remaining amounts with them are:
A: x - 10
B: y - 15
C: z - 25
The ratio of the reminder amounts is given as 4 : 6 : 9. So, we can write:
(x - 10) : (y - 15) : (z - 25) = 4 : 6 : 9
Multiplying both sides by the common factor 5, we get:
2(x - 10) : 3(y - 15) : 5(z - 25) = 4 : 6 : 9
Simplifying further, we get:
2x - 20 : 3y - 45 : 5z - 125 = 4 : 6 : 9
Multiplying both sides by the common factor 5, we get:
10x - 100 : 15y - 225 : 25z - 625 = 20 : 30 : 45
Dividing both sides by 5, we get:
2x - 20 : 3y - 45 : 5z - 125 = 4 : 6 : 9
Comparing this equation with the earlier equation, we can write:
2x - 10 = 4k
3y - 15 = 6k
5z - 25 = 9k
where k is a constant.
Simplifying these equations, we get:
x = 2k + 5
y = 2k + 10
z = 2k + 15
Substituting these values in equation (1), we get:
(2k + 5) + (2k + 10) + (2k + 15) = 5750
Simplifying this equation, we get:
6k + 30 = 5750
Subtracting 30 from both sides, we get:
6k = 5720
Dividing both sides by 6, we get:
k = 953.33
Therefore,
C's share = z = 2k + 15 = (2 × 953.33) + 15 = 1921.66
Hence, C's share was Rs 1921.66.
Let the shares of A, B, and C be x, y, and z respectively.
According to the given information,
x + y + z = 5750 ...(1)
After reducing their shares by Rs 10, Rs 15, and Rs 25 respectively, the remaining amounts with them are:
A: x - 10
B: y - 15
C: z - 25
The ratio of the reminder amounts is given as 4 : 6 : 9. So, we can write:
(x - 10) : (y - 15) : (z - 25) = 4 : 6 : 9
Multiplying both sides by the common factor 5, we get:
2(x - 10) : 3(y - 15) : 5(z - 25) = 4 : 6 : 9
Simplifying further, we get:
2x - 20 : 3y - 45 : 5z - 125 = 4 : 6 : 9
Multiplying both sides by the common factor 5, we get:
10x - 100 : 15y - 225 : 25z - 625 = 20 : 30 : 45
Dividing both sides by 5, we get:
2x - 20 : 3y - 45 : 5z - 125 = 4 : 6 : 9
Comparing this equation with the earlier equation, we can write:
2x - 10 = 4k
3y - 15 = 6k
5z - 25 = 9k
where k is a constant.
Simplifying these equations, we get:
x = 2k + 5
y = 2k + 10
z = 2k + 15
Substituting these values in equation (1), we get:
(2k + 5) + (2k + 10) + (2k + 15) = 5750
Simplifying this equation, we get:
6k + 30 = 5750
Subtracting 30 from both sides, we get:
6k = 5720
Dividing both sides by 6, we get:
k = 953.33
Therefore,
C's share = z = 2k + 15 = (2 × 953.33) + 15 = 1921.66
Hence, C's share was Rs 1921.66.
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Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then?a)Rs 2700b)Rs 2725c)Rs 2750d)Rs 2625e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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