ATQ, Let the sum invested in project 'P', 'Q', and 'R' be Rs. '7z', Rs. '6z', and Rs. '5z', respectively. According to the given conditions, 
Thus, the rate of interest for projects 'P', 'Q', and 'R' are 15% p.a., 12% p.a., and 18% p.a., respectively. Using the given total simple interest, 
Total investment by Mr. Karan = 7z + 6z + 5z = 18z = 18 × 1000 = Rs.18,000
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