16. 9 वषा म₹765 किस चक्रवाद्ध ब्याज का दर स₹ 1,690 हा जात ह जब' ब्याण गणपा पाए। पग जाए,
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At what rate percent compound interest ₹ 765 will be amounted to ₹ 1,690 in 9 years. When the interest in
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Answer:
Explanation:
Let the principal, P = Rs.x, r = 10%, t = 1 year
Using S.I. = Prt/100,
S.I. = Rs.(x × 10 × 1)/100 =Rs.x/10
No of conversion period, n = 2 × 1 = 2,
r = 10%/2 = 5% per conversion period, P = x,
Using C.I. = P [(1 + r/100)n 1],
C.I. = Rs.x [(1 + 5/100)2 1]
= Rs.x(21/20 ×21/20 1)
= Rs.x(441/400 1)
= Rs.(41/400)x
As per problem, C.I. S.I. = Rs.180
Or, Rs.(41/400)x Rs.x/10 = 180
Or, Rs.(41/400 1/10)x = 180
Or, Rs.x/400 = 180
Or, x = Rs.180 × 400 = Rs.7200
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