Question
A man invested a sum of Rs 25,000. He invested some part
at 5 % p.a. and remaining at 5.5% p.a. How much money did he invest at 5 % p.a.? Statement I: The total interest amount paid after 1 year was Rs 1300 Statement II: The interest on one sum was twice that on the other. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –Solution
Let the first part is Rs x, then remaining part is Rs (25000 - x) From statement I, [(5 ×1 ×x)/100] + [((25,000 -x) ×1 × 5.5)/100] = 1300 -(0.5 x)/100 = - 1375 + 1300 So -0.5x/100 = -75 x = 15,000 From statement II, [(5 ×1 ×x)/100] = 2 [((25,000 -x) ×1 × 5.5)/100] (5 x)/100 = (275000 - 11x)/100 16 x = 275000 x = 17187.50 So answer can be determined by either of statement I or II.
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