The compound interest earned in two years at 12% per annum is&nbs

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51.

There is 100% increase to an amount in 8 yr, at simple interest. Find the compound interest of ₹ 8000 after 2 yr at the same rate of interest.

  • ₹ 2500

  • ₹ 2000

  • ₹ 2250

  • ₹ 2125

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52.

The compound interest earned in two years at 12% per annum is ₹ 10,176/-. What is the sum (in ₹) invested?

  • ₹ 50,000/-

  • ₹ 60,000/-

  • ₹ 40,000/-

  • ₹ 80,000/-


C.

₹ 40,000/-

Let the sum invested be ₹ P.
straight P open square brackets open parentheses 1 plus 12 over 100 close parentheses squared minus 1 close square brackets space equals space 10176
rightwards double arrow space space straight P open square brackets open parentheses 28 over 25 close parentheses squared minus 1 close square brackets space equals space 10176
rightwards double arrow space space straight P open square brackets fraction numerator 784 minus 625 over denominator 625 end fraction close square brackets space equals space 10176
rightwards double arrow space space space straight P left square bracket 159 right square bracket space equals space 10176 space cross times space 625
rightwards double arrow space space space space straight P space equals space space 64 space cross times space 625
rightwards double arrow space space space straight P space equals space ₹ space 40 comma 000 divided by negative


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53.

The simple and compound interest that can be earned in two years at the same rate is ₹ 4,000/- and ₹ 4,180/- respectively. What is the rate(% per annum) of interest?

  • 18% per annum

  • 4.5% per annum

  • 9% per annum

  • 12% per annum


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