Questions & Answers

Question

Answers

A.$7:6:10$

B.$12:15:16$

C.$42:45:56$

D.Cannot be determined

Answer

Verified

92.1k+ views

Amount invested by Aman in business $ = $ Rs.$70,000$

Time period for which he invested the amount $ = 3$ years

$1$ year $ = 12$ months

$3$ years $ = 12 \times 3 = 36$ months

Time period for which Aman invested amount $ = 36$ months

Amount invested by Rakhi in business $ = $ Rs.$1,05,000$

Time period for which Rakhi invested amount $ = 36 - 6$ months

$ = 30$ months

Amount invested by Sagar in business $ = $ Rs.$1,40,000$

Time period for which Sagar invested amount $ = 30 - 6 = 24$ months

The ratio of the amount invested by Aman, Rakhi and Sagar

$ = 70,000:1,05,000:1,40,000$

$ = 70:105:140$

Ratio of the amount after time period

$70 \times 36:105 \times 30:140 \times 24$

$ = 2520:3150:3360$

Dividing by $10$

$252:315:336$

Dividing by $3$

$84:105:112$

Dividing by $7$

$12:15:16$

The amount divided in ratio after time period is $12:15:16$.

So, the profit is also divided in ratio $12:15:16$