A began business with Rs 4,500 and was joined afterwards by B with Rs 5,400. If the profit at the end of the year was divided in the ratio of 2 : 1, then the time of joining B was after

5 months

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7 months

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8 months

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9 months

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Solution

The correct option is C 7 months
Let B join after 'x' months
A joins for 12 months with Rs 4,500
B joins for $(12 - x)$ months with Rs 5,400
$⟹ \frac{4500 \times 12}{5400 \times (12 - x)} = \frac{2}{1} ⟹ x = 7$ .

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A began business with Rs 4,500 and was joined afterwards by B with Rs 5,400. If the profit at the end of the year was divided in the ratio of 2 : 1, then the time of joining B was after

The correct option is C 7 monthsLet B join after 'x' monthsA joins for 12 months with Rs 4,500B joins for (12−x) months with Rs 5,400⟹4500×125400×(12−x)=21⟹x=7.

The correct option is C 7 months
Let B join after 'x' months
A joins for 12 months with Rs 4,500
B joins for $(12 - x)$ months with Rs 5,400
$⟹ \frac{4500 \times 12}{5400 \times (12 - x)} = \frac{2}{1} ⟹ x = 7$ .