Question

Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.

A) Rs.625

B) Rs.626

C) Rs.286

D) Rs.627

Answer 1

Answer:

suppose amount of A = x

so amount of B = 1301 -x   (because all amount is 1301)

As question $x(1+\frac{4}{100}) ^{7}= 1301-x(1+\frac{4}{100}) ^{9}$

=    $x(\frac{104}{100}) ^{7} = 1301-x(\frac{104}{100}) ^{9}$ (transtion)

= $\frac{x}{1301-x} =(\fra\left \{ {{\frac{104}{100}^{9}} \atop {\frac{104}{100}^{7}}} )$  (same base so power to rest)

=$\frac{x}{1301-x} =(\frac{104}{100}) ^{2}$

= $\frac{x}{1301-x} =\frac{26X26}{25X25}$  (on  the transition)

= $\frac{x}{1301-x} =\frac{676}{625}$

625x=(1301-x) X 676

625x = (1301X676) - 676x

= 676x + 625x  = 1301X676   ( on the transition)

1301x = 1301 X 676

x = 676

so 1301-x = 625

Step-by-step explanation:

Answer 2

Answer:

answer is 625

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