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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?

A and B started a small business. B invested rs. 600 more than A. At the end of nine months from the start of the business, B doubles his investment. If at the end of the year the total profit earned was rs. 13800 and share of A in profit was 4800 rs. then find investment made by A

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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.

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