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Q.

Radhika borrowed ₹ 12000 from her friends. Out of which ₹ 4000 were borrowed at 18% and the remaining at 15% rate of interest per annum. What is the total interest after 3 years? 

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a

₹ 7760.

b

₹ 3470.

c

₹ 4460.

d

₹ 5760.

answer is D.

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Detailed Solution

Interest Calculation for Radhika's Loan

1. Interest Calculation for ₹4000 at 18%:

  • Radhika borrowed ₹4000 at an 18% annual interest rate.
  • Interest for one year is calculated as: Principal x Rate x Time.
  • Here, Principal = ₹4000, Rate = 18% (or 0.18), Time = 1 year.
  • Interest for one year: ₹4000 x 0.18 x 1 = ₹720.
  • For 3 years: ₹720 x 3 = ₹2160.

2. Interest Calculation for the Remaining Amount at 15%:

  • The remaining amount is ₹12000 - ₹4000 = ₹8000.
  • This is borrowed at a 15% annual interest rate.
  • Interest for one year on ₹8000: ₹8000 x 0.15 x 1 = ₹1200.
  • For 3 years: ₹1200 x 3 = ₹3600.

3. Total Interest:

  • Total interest is the sum of interest from both parts.
  • From ₹4000 at 18%: ₹2160.
  • From ₹8000 at 15%: ₹3600.
  • Total Interest: ₹2160 + ₹3600 = ₹5760.
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