please solve question no 9th plz brorhers and sisters
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♦ Given rate of interest (R) = 7 whole ½% p.a. = 15/2% p.a.
♦ Given time (n) = 3 years.
♦ Let the sum (P) be 'x'.
♦ Then, amount (A),
= P (1 + R/100)^n
= x (1 + 15/2/100)^3
= x (1 + 15/200)^3
= x (200 + 15/200)^3
= x (215/200)^3
= x × (43/40)^3
= x × 79507/64000
= 79507x/64000
♦ Then, Compound interest (C.I),
= A - P
= 79507x/64000 - x
= (79507x - 64000x)/64000
= 15507x/64000
♦ But, C.I (given) = 3101.40
→→→ 15507x/64000 = 3101.40
=> x = 3101.40 × 64000/15507
=> x = 198489600/15507
=> x = 12800
•°• The sum is 12800 Rs.
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Thank you..
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