Multiple choice

Menu lends a part of Rs.20000 at 8% simple interest and remaining at (\frac{4}{3})% simple interest. Her total income after a year was Rs.800. Find the sum lent at 8%.

  1. Rs.8000

  2. Rs.10000

  3. Rs.12000

  4. Rs.14000

  5. Rs.6000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let x be the amount lent at 8%, so (20000-x) is lent at 4/3%. Using SI = PRT for 1 year: 0.08x + (4/300)(20000-x) = 800. Simplify: 0.08x + 266.67 - 0.01333x = 800, so 0.06667x = 533.33, giving x = 8000. Option A is correct.

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