Question

Only for MATHEMATICIANS

Sanjay Borrowed 12800 ate the tate of 25/4 per annum at simple interest. on same day he lent it to the guest at the same rate compounded annually what does Sanjay gain at the end of 2 years

Answer 1

Here, Rate = 25/4% = 0.0625

         Time = 2years

         Principal = 12800

When Sanjay borrowed

Interest = P*R*T

             = 12800*0.0625*2

             = 1600

Amount he has to pay = Principal + Interest

                                     = 12800 + 1600

                                     = 14400

When Sanjay lended to his guest

Amount = P(1+r/n)^t

             = 12800(1+0.0625/1)^2

             = 12800 (1.0625)²

             = 14450

Profit he earned = 14450 - 14400.

                           = 50

Thanks!!!

Answer 2

$<b>Heya mate. (^_-). Solution below.$
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• Given Principal (P) = 12800 Rs.

• Given Rate (R) = 25/4 %

• Given Time (T) = 2 years.



• Then, Simple interest (S.I) -

= P × R × T /100

= (12800 × 2 × 25/4)/100

= 12800 × 2 × 25/4 × 100

= 128 × 2 × 25/4

= 32 × 2 × 25

= 1600



• Then, amount to be paid by Sanjay

= S.I. + P

= 12800 + 1600

= 14400




• Now, Amount to be paid by the guest to Sanjay -

= P (1 + (R/100))^t

= 12800 × [1 + (25/4)/100]²

= 12800 × [(1 + 25)/400]²

= 12800 × [(400 + 25)/400]²

= 12800 × (425/400)²

= 12800 × (425)² ÷ (400)²

= 2312000000 ÷ 160000

= 14450.



• Clearly, amount paid by Sanjay < Amount gained by Sanjay
Hence, gain


• Gain

= amount paid to him - amount paid by him

= 14450 - 14400

= 50

So, he gains 50 Rs.


$<marquee>Hence, Sanjay's gain is Rs.59.</marquee>$
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Thank you.. ;-)