# A sum of money is lent at a certain rate of interest at compound interest. If, instead the same amount was lent at simple interest the interest for the first two years reduces by Rs.160 and that for the first three years reduces by Rs.488. Find the sum Option 1) Rs.22000 Option 2) Rs.46000Option 3) Rs.52000 Option 4) Rs.64000 Option 5) Rs.46000

B is the difference B/w 2 years of interest So B = 160

Difference B/w 3 years of C.I and S.I

$= 3B+C = 488$

$160 \times 3 + C = 8$

C is calculated on 8

$=rate=\frac{8}{160}\times 100= 5\: ^{0}/_{0}$

$A = \frac{160}{5} \times 100 = 3200$

$P= \frac{3200}{5} \times 100$

$P = 64000 Rs.$

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