Ganesh invested an amount of Rs x in a fixed deposit scheme offering 5% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs 9660 after two years. What is the value of x (in Rs)

Question

নিচের অপশন গুলা দেখুন

• 9000
• 8000
• 8500
• 8200

Answer 1

সঠিক উত্তর হচ্ছে: 8000

ব্যাখ্যা: Given: Amount after 2 years = Rs. 9660
Let the Principal be P
We know that: A = P + (P × R × T)/100
Let R1 and T1 be the rate and time for 1st year and R2 and T2 be the rate and time for 2nd year
⇒ 9660 = [P + (P × R1 × T1)/100] + {[P + (P × R1 × T1)/100] × (R2 × T2)/100}
⇒ 9660 = [P + (5P)/100] + [P + (5P)/100] × (15)/100}
⇒ 9660 = [P + P/20] × [1 + 0.15]
⇒ 9660 = 1.15P + 0.0575P
⇒ 9660 = 1.2075P
⇒ P = 8000
Given: P = x
So, x = Rs. 8000