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The difference between compound interest and simple interest on a certain sum at a certain rate of interest for 3yrs is Rs.1000 . If S.I at the same sum at the same rate of interest for 2yrs is 200. Then find the rate of interest?

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Two cars A and B start from two points P and Q respectively towards each other simultaneously. After travelling some distance, at a point R, car A develops engine trouble. it continues to travel at 2/3rd of its usual speed to meet the car B at a point S where PR = QS . If the engine trouble had occurred after car A had traveled double the distance it would have met car B at a point T where ST= SQ/9. Find the ratio of speeds of A and B.