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The difference between the compound interest and simple interest on Rs x at 8.5% per annum for 2 years is Rs 28.90. The value
of x is:
3800
3500
4000
4500
Given that, Rate of interest= 8.5 % per annum time = 2 years difference between the compound interest and simple interest=28.90 Rs. Principle amount= x, Now, we know that simple interest (SI) = Substituting the values,
R Now, for compound interest Final amount (A) =P(1+100)T Now substituting the values, sxz
⇒ A = x(1.085) 2
⇒ A = 1.1772x
Hence compound interest CI = A − P = 1.177x − x = 0.1772x − − − − − − − −(ii) From equation(i) and (ii)
CI − SI = 28.90
⇒ 0.170x − 0.177x = 28.90
⇒ 0.007x = 28.90
⇒ x = 0.007 =4128 Rs Option will be the correct answer because it's the nearest value.
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