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Through the publicity of road safety programmes, the street accidents in a state have decreased by in comparison to its previous year. In the present year, if the number of street accidents is , the number of street accidents that had been in the state years before is:

  1. A
    4000
  2. B
    2430
  3. C
    3000
  4. D
    1458

Solution & Step-by-step Explanation

Let the number of accidents years before be .
The rate of decrease is annually. The population of accidents after years is given by the formula for compound depreciation:



Given , , and :









Since :



Thus, there were accidents three years ago.

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Through the publicity of road safety programmes, the street accidents in a state have decreased by in comparison to its previous year. In the present year, if the number of street accidents is , the number of street accidents that had been in the state years before is:
A
4000
B
2430
C
3000
D
1458

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