If Rs. 450/- amount to Rs. 504/- in three years at simple interest, what will Rs. 650/- amount in 2 years & 6 months the interest rate being the same in both cases?

Rs. 715/-

Rs. 750/-

Rs. 725/-

Rs. 700/-

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উত্তর: Rs. 715/-

Here, 2 year 6 months = 2.5 years Principal with simple interest, A = P( 1 + n r) Now, 504 = 450( 1 + 3 × r) or, 1 + 3r = 504/450 or, 3r = 504/450 - 1 or, 3r = (504 - 450) / 450 or, 3r = 54 / 450 or, r = 54 / (450 × 3) or, r = 1/25 Again, A = 650( 1 + 2.5 × 1/25) or, A = 650 × (25 + 2.5)/25 or, A = 650 × 27.5 / 25 So, A = 715 Rs.

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If Rs. 450/- amount to Rs. 504/- in three years at simple interest, what will Rs. 650/- amount in 2 years & 6 months the interest rate being the same in both cases?

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