Rs 75,500 is divided between A and B in the ratio 1 : 3 . what is the difference between thrice the share of A and twice the share of B?

46625

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56625

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66625

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76625

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Solution

The correct option is B
56625

$S h a r e o f A = \frac{75, 500 \times 1}{1 + 3} = 75, 500 \times \frac{1}{4} = 18875 .$

$S h a r e o f B = \frac{75, 500 \times 3}{1 + 3} = 75, 500 \times \frac{3}{4} = 56625 .$

$D i f f e r e n c e b e t w e e n t h r i c e t h e s h a r e o f A a n d t w i c e t h e s h a r e o f B i s = 2 B - 3 A = (2 \times 56625) - (3 \times 18875) = 113250 - 56625 = 56625.$

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