The difference between the interest on  Rs X  invested at rate of 15% p.a. on simple interest for two years and same amount is invested at rate of 20% p.a. for one year compounded half yearly is Rs 432. Find the value of X?

Correct option is E

Information given:
Rs X invested at rate of 10% p.a. on simple interest
Rs X invested at rate of 20% p.a. on compound half yearly
Formulas Used:
Simple interest = (principle ×rate of interest × time)/100
one year compounded half yearly = rate of interest p.a./2
Equivalent compound interest for two year/tow half = (r+r+(r×r)/100)
Explanation:
Rate of interest for one half = 20/2 = 10%
Equivalent compound interest for two half = {10+10+(10×10)/100} = 21%
ATQ

9X = 43200
X=Rs 4800