A person invests Rs. ___ in Scheme X and the amount invested in Scheme Y is 20% more than that in Scheme
X. Scheme X offers 10% simple interest while Scheme Y offers interest such that the interest from Y is Rs. ___ more than the interest from
X. The total interest earned from both schemes after one year is Rs. 4,600. Which of the following is true?
I. 20000, 600
II. 15000, 1900
III. 10000, 2600

From I: Investment in X = 20000.
Investment in Y = 20000 X 1.
2 = 24000.
Interest from X = 20000 X 0.
10 = 2000.
Interest from Y = 2000 + 600 = 2600.
Total interest = 2000 + 2600 = 4600.
Statement I is true.
From II: Investment in X = 15000.
Investment in Y = 15000 X 1.
2 = 18000.
Interest from X = 15000 X 0.
10 = 1500.
Interest from Y = 1500 + 1900 = 3400.
Total interest = 1500 + 3400 = 4900 ≠ 4600.
Statement II is false.
From III: Investment in X = 10000.
Investment in Y = 10000 X 1.
2 = 12000.
Interest from X = 10000 X 0.
10 = 1000.
Interest from Y = 1000 + 2600 = 3600.
Total interest = 1000 + 3600 = 4600.
Statement III is true.
Hence, the correct answer is C.