Two friends Pinki and Rinki entered into a partnership by investing an amount of Rs 6000 and Rs 9000 respectively and the ratio of their period of investment is 2:3. Find the profit share of Pinki if the profit share of Rinki is Rs 45,000.

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**Solution:**

1. Let the period of investment of Pinki be $2x$ units and that of Rinki be $3x$ units.

2. Calculate the ratio of their profit shares based on investment and time:
   - Pinki's investment × time = $6000 	imes 2x = 12000x$
   - Rinki's investment × time = $9000 	imes 3x = 27000x$

3. Ratio of profit shares = $12000x : 27000x = 4 : 9$

4. Given Rinki's profit share = Rs 45,000, corresponding to 9 parts.

5. Calculate the value of one part:
   $$	ext{One part} = \frac{45000}{9} = 5000$$

6. Pinki's profit share (4 parts):
   $$4 	imes 5000 = 20000$$

**Answer:** Rs 20,000

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