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Standard VI

Mathematics

Word Problems

The ratio in ...

Question

The ratio in which Aman and Bimal have contributed to the capital of a company is $3 : 4$ . Bimal has invested his capital for only $3$ months and has received half as much profit as Aman, at the end of the year. Find out for how much time has Aman invested his capital in the company.

8

months

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14

months

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15

months

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1

year

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Solution

The correct option is A $8$ months
Aman and Bimal invested in ratio $= 3 : 4$
Bimal invested for $3$ month where as Aman for $T$ month effective investment Ratio $= 3 t : 4 \times 3$
$= 3 t : 12 = t : 14$
ATQ
$\frac{t}{4} = \frac{2}{1}$
$t = 8 m o n t h s$ .

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The ratio in which Aman and Bimal have contributed to the capital of a company is 3:4. Bimal has invested his capital for only 3 months and has received half as much profit as Aman, at the end of the year. Find out for how much time has Aman invested his capital in the company.

The correct option is A 8 monthsAman and Bimal invested in ratio =3:4Bimal invested for 3 month where as Aman for T month effective investment Ratio =3t:4×3=3t:12=t:14ATQt4=21t=8 months.

The ratio in which Aman and Bimal have contributed to the capital of a company is $3 : 4$ . Bimal has invested his capital for only $3$ months and has received half as much profit as Aman, at the end of the year. Find out for how much time has Aman invested his capital in the company.

The correct option is A $8$ months
Aman and Bimal invested in ratio $= 3 : 4$
Bimal invested for $3$ month where as Aman for $T$ month effective investment Ratio $= 3 t : 4 \times 3$
$= 3 t : 12 = t : 14$
ATQ
$\frac{t}{4} = \frac{2}{1}$
$t = 8 m o n t h s$ .