# P and Q are partners in a business. Q invested Rs. 9000 for 12 months. P invested an amount for 6 months and decreased his amount by 2000 for next 6 m

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P and Q are partners in a business. Q invested Rs. 9000 for 12 months. P invested an amount for 6 months and decreased his amount by 2000 for next 6 months. Q will receive double the profit than that received by P. Find the amount invested by P in the last 6 months?

1. 5600
2. 3500
3. 2600
4. 4300

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Correct Answer - Option 2 : 3500

Given:

P and Q are partners in a business. Q invested Rs. 9000 for 12 months. P invested an amount for 6 months and decreased his amount by 2000 for next 6 months. Q will receive double the profit than that received by P.

Formula:

Ratio of Profit = ratios of product of Amount invested and time

Calculation:

Let P invested Rs x initially

P                                           :                     Q

x × 6 + (x – 2000) × 6           :                     9000 × 12

12x – 12000                         :                      9000 × 12

Q/P = 2/1 = 9000 × 12/12x – 12000

x = 5500

So, Amount invested by P in the last 6 months = 5500 – 2000 = 3500