A man has some amount of money and he invested the money in two schemes X and Y in the ratio of 2 : 5 for 2 years, scheme X offers 30% pa compound interest and scheme Y offers 15% pa Simple interest. The difference between the interest earned from both the schemes is Rs. 21600. Find the amount invested in scheme Y.

Correct option is A

Let the amount invested in X & Y be 200a & 500a respectively.
Equivalent rate of CI for 2 years at 30% p.a. =$$(30 + 30 + \frac{30 \times 30}{100})\% = 69\%$$​
Interest received from scheme X =$$\frac{69}{100}$$​×200a=138a

Interest received from scheme Y =$$\frac{500a \times 15 \times 2}{100}$$​=150a
ATQ,
150a – 138a = 21600
12a=21600
a = 1800
Amount invested in scheme Y = 500a = 500×1800=9,00,000 Rs