A and B started a business. B’s investment was 1.5 times that of A. T...
Let's solve the problem step by step:
1. Let's assume that A's investment is x. Therefore, B's investment will be 1.5x, as given in the question.
2. The ratio of the time period for which A invested to that for which B invested is 2:1. Let's assume that A invested for 2t time period and B invested for t time period.
3. Now, let's calculate the total investment made by A and B together. According to the question, the total investment is Rs 25000.
So, we can write the equation as:
x + 1.5x = 25000
2.5x = 25000
x = 25000/2.5
x = 10000
Therefore, A's investment is Rs 10000 and B's investment is 1.5 times of A's investment, which is Rs 15000.
4. The annual profit earned is Rs 3000 less than A’s investment. So, A's annual profit will be Rs 10000 - Rs 3000 = Rs 7000.
5. Now, let's calculate the annual profit earned by B. Since A invested for 2t time period and B invested for t time period, B's profit will be (1.5x) * t = 1.5 * 10000 * t = 15000t.
6. The difference between A's share and B's share in the annual profit can be calculated as:
A's share - B's share = Rs 7000 - 15000t
7. We need to find the value of t in order to calculate the difference between A's and B's shares in the annual profit.
According to the question, the ratio of the time period for which A invested to that for which B invested is 2:1.
So, we can write the equation as:
(2t)/(t) = 2/1
2t = 2
t = 1
8. Now, let's substitute the value of t in the equation to find the difference between A's and B's shares in the annual profit:
A's share - B's share = Rs 7000 - 15000 * 1
= Rs 7000 - 15000
= Rs -8000
Therefore, the difference between A's share and B's share in the annual profit is Rs -8000, which means that A's share is Rs 8000 more than B's share.
Since the options provided do not include a negative value, the correct answer is option A) Rs. 1000.
A and B started a business. B’s investment was 1.5 times that of A. T...
Ratio of profit = Investment ratio * Period ratio = 4 : 3
Also profit = 10000 – 3000 = 7000
Required Difference = 7000/(4+3 ) x (4-3)
= 7000/7 x 1 = 1000