Question
Mr. Karan invested his funds in 3 different projects
'P', 'Q', and 'R' in the ratio 7:6:5, respectively. The rates of interest offered by projects 'P', 'Q', and 'R' are 'y%' per annum, (y - 3) % per annum, and (y + 3) % per annum, respectively. If the total simple interest received by Karan at the end of the year is Rs. 2,250 and the ratio of the rate of interest offered by project 'Q' to project 'R' is 4:6, find the total amount invested by Mr. Karan.Solution
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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