Select the correct answerA and B started a business with initial investments in the ratio 5: 7. If after one year their profit were in the ratio 1: 2 and the period for A’s investment was 7 months B invested the money forOptions2 ½ months6 months3 months10 months4 months
Question
Select the correct answerA and B started a business with initial investments in the ratio 5: 7. If after one year their profit were in the ratio 1: 2 and the period for A’s investment was 7 months B invested the money forOptions2 ½ months6 months3 months10 months4 months
Solution
The problem states that A and B started a business with initial investments in the ratio 5:7. Their profits after one year were in the ratio 1:2. The period for A’s investment was 7 months. We need to find out for how long B invested his money.
The formula for calculating the profit ratio is (Investment of A * Time of A) : (Investment of B * Time of B).
We know the investment ratio (5:7), the profit ratio (1:2), and the time A invested (7 months). We can set up the equation as follows:
(5 * 7) : (7 * Time of B) = 1 : 2
Solving for Time of B, we get:
35 : (7 * Time of B) = 1 : 2
Cross multiplying, we get:
2 * 35 = 1 * 7 * Time of B
70 = 7 * Time of B
Time of B = 70 / 7
Time of B = 10 months
So, B invested the money for 10 months.
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