A sum of Rs. 4,360 was to be divided among A, B, C and D in the ratio of 3 : 4 : 5 : 8, but it was divided in the ratio of 13 : 14 : 5 : 8 by mistake, As a result:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. D receives Rs. 872 less
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Concept |
Understanding |
Application |
Fair calculation |
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Ratio |
Total sum = 4360 It was to be divided among A, B, C and D in the ratio of 3 : 4 : 5 : 8, but it was divided in the ratio of 13 : 14 : 5 : 8 |
When it is divided in 3 : 4 : 5 : 8: 3x + 4x + 5x + 8x = 4360 20x = 4360 x = 218 So, Share of A = 3 × 218 = 654 Share of B = 4 × 218 = 872 Share of C = 5 × 218 = 1090 Share of D = 8 × 218 = 1744
When it is divided in 13 : 14 : 5 : 8: 13x + 14x + 5x + 8x = 4360 40x = 4360 x = 109 So, Share of A = 13 × 109 = 1417 Share of B = 14 × 109 = 1526 Share of C = 5 × 109 = 545 Share of D = 8 × 109 = 872
Difference in shares: A: 1417 – 654 = 763 More B: 1526 – 872 = 654 More C: 1090 – 545 = 545 Less D: 1744 – 872 = 872 Less |
4360/20 = 218 4360/40 = 109 |