Hari and Prashad started a business investing amount in the ratio of 2...
Problem Solving Approach:
Let's assume the investment of Hari and Prashad to be 2x and 3x respectively.
Given that the investment ratio of Hari and Prashad is 2:3.
Therefore, (Hari's investment)/(Prashad's investment) = 2/3.
Again, it is given that if Hari had invested Rs. 10000 more, the ratio of Haris investment to Prashad would have been 3:2.
Therefore, (Hari's investment + Rs. 10000)/(Prashad's investment) = 3/2.
By solving the above two equations, we get Hari's investment = Rs. 40000 and Prashad's investment = Rs. 60000.
Therefore, the amount invested by Hari = 2x = Rs. 40000 – Rs. 10000 = Rs. 30000.
Hence, the correct answer is option A (Rs. 8000).
HTML Code:
Solution:
Let's assume the investment of Hari and Prashad to be 2x and 3x respectively.
Step 1:
Given that the investment ratio of Hari and Prashad is 2:3.
Therefore, (Hari's investment)/(Prashad's investment) = 2/3.
Step 2:
Again, it is given that if Hari had invested Rs. 10000 more, the ratio of Haris investment to Prashad would have been 3:2.
Therefore, (Hari's investment + Rs. 10000)/(Prashad's investment) = 3/2.
Step 3:
By solving the above two equations, we get Hari's investment = Rs. 40000 and Prashad's investment = Rs. 60000.
Step 4:
Therefore, the amount invested by Hari = 2x = Rs. 40000 – Rs. 10000 = Rs. 30000.
Step 5:
Hence, the correct answer is option A (Rs. 8000).
Hari and Prashad started a business investing amount in the ratio of 2...
Initial Ratio of investments by A and B = 2 : 3
Let their respective investments are 2x and 3x
According to question.
If A added Rs. 10,000 to his investment
Then New Ratio = 3 : 2
(2x+10000)/3x=3/2
4x + 20000 = 9x
5x = 20000
x = Rs. 4000
=> original investment by A = 2×4000
= Rs.8000
HENCE OPTION A IS THE ANSWER