X invested Rs. 3600 at an annual simple interest rate of (a + 10)% and Rs. 2400 at an annual simple interest rate of a%. After 3 years, the total interest earned by X is Rs. 3780. Find the value of 'a'.
ATQ, 36 × (a + 10) × 3 + 24 × a × 3 = 3780 Or, 36a + 24a + 360 = 1260 Or, 60a = 900 Or, a = 15
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