Divide rs 15600 into two parts such that the interest on one at 5 percent for 5 years may be equal to that on the other at 9/2 percent for 6 years
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199
Let one part = x
T = 5 years
R = 5%
Other part = 15600-x
T = 6 years
R = 9/2 %
SI = x×5×5/100 = (15600-x)×6×9/(2×100)
⇒ 25x = 27(15600-x)
⇒ 25x = 27×15600 - 27x
⇒ 52x = 27×15600
⇒ x = 27×15600/52
⇒ x = 8100
Other part = 15600 - 8100 = 7500
Two parts are Rs. 8100 and Rs. 7500
T = 5 years
R = 5%
Other part = 15600-x
T = 6 years
R = 9/2 %
SI = x×5×5/100 = (15600-x)×6×9/(2×100)
⇒ 25x = 27(15600-x)
⇒ 25x = 27×15600 - 27x
⇒ 52x = 27×15600
⇒ x = 27×15600/52
⇒ x = 8100
Other part = 15600 - 8100 = 7500
Two parts are Rs. 8100 and Rs. 7500
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