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Byju's Answer

Standard VIII

Mathematics

Introduction to fractions and ratios

Swati and Raj...

Question

Swati and Rajni enter into a partnership with their capitals in the ratio $5 : 6.$ At the end of $7$ months, Swati withdraws her capital. If they receive the profit in the ratio of $5 : 9,$ then how long was Rajni's capital used?

12.5

months

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10

months

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10.5

months

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14

months

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Solution

The correct option is C $10.5$ months
Suppose, Swati invested $5 x$ rupees for $7$ months and Rajni invested $6 x$ rupees for $y$ months.
Then, $\frac{5 x \times 7}{6 x \times y} = \frac{5}{9}$
$\Rightarrow 2 y = 21$
$\Rightarrow y = 10.5$
Hence, Rajni's capital was used for $10.5$ months.

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Swati and Rajni enter into a partnership with their capitals in the ratio 5:6. At the end of 7 months, Swati withdraws her capital. If they receive the profit in the ratio of 5:9, then how long was Rajni's capital used?

The correct option is C 10.5 monthsSuppose, Swati invested 5x rupees for 7 months and Rajni invested 6x rupees for y months. Then, 5x×76x×y=59 ⇒2y=21 ⇒y=10.5 Hence, Rajni's capital was used for 10.5 months.

Swati and Rajni enter into a partnership with their capitals in the ratio $5 : 6.$ At the end of $7$ months, Swati withdraws her capital. If they receive the profit in the ratio of $5 : 9,$ then how long was Rajni's capital used?

The correct option is C $10.5$ months
Suppose, Swati invested $5 x$ rupees for $7$ months and Rajni invested $6 x$ rupees for $y$ months.
Then, $\frac{5 x \times 7}{6 x \times y} = \frac{5}{9}$
$\Rightarrow 2 y = 21$
$\Rightarrow y = 10.5$
Hence, Rajni's capital was used for $10.5$ months.