Two equal amounts of money are deposited in two banks,

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Two equal amounts of money are deposited in two banks, each at 15% per annum for 3¹/₂ years and 5 years. If the difference between their interests is Rs. 144, each sum is ?

Let each sum be Rs. P.
Then, [(P x 15 x 5) / 100] - [(P x 15 x 7) / 100] x 2 = 144
⇒ 3P/4 -21P/40 = 144
⇒ 9P/40 = 144
∴ P = (144 x 40) / 9 =Rs. 640