Multiple choice

J, K and L entered into a partnership such that the initial investments of J and K are in the ratio 5 : 3 and the initial investments of K and L are in the ratio 2 : 3. After 4 months, J withdraws Rs. 10,000, while K and L invested additional amount of Rs. 12,000 and Rs. 18,000, respectively. After 4 more months, they invested more money in the ratio 7 : 11 : 7. If the amount invested by J and K together is equal to the amount invested by K and L together at the end of the year, find the total investment made by them initially.

  1. Rs. 10,00,000

  2. Rs. 7,00,000

  3. Rs. 5,00,000

  4. Rs. 1,00,000

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial investments be J=10k, K=6k, L=9k. After 4 months, J=10k-10000, K=6k+12000, L=9k+18000. After 4 more months, they add more in ratio 7:11:7. The condition J+K = K+L at year end implies J=L at year end. Solving the investment equations leads to 700,000.

AI explanation

Using combined proportions, the initial investment ratio of J, K and L is 10 : 6 : 9. The first friend correctly withdrew Rs. 10,000, leaving an investment of (10x - 10000) for the latter part of the year, which balances the total investments. The resulting algebraic equation evaluates to x = 200000, making the combined initial investment of (10 + 6 + 9)x equal to Rs. 7,00,000.

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