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On 1st April 2001 Insurance Co. purchase 10% securities of Rs. 10,000 at 98% Cum Interest. Interest will get on 1st January and 1st July every year. Find out Investment purchase price and Interest.?
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On 1st April 2001 Insurance Co. purchase 10% securities of Rs. 10,000 ...
Investment Purchase Price:

  • 10% securities of Rs. 10,000 at 98% Cum Interest.

  • 98% Cum Interest means that the interest is included in the purchase price.

  • Therefore, the investment purchase price can be calculated as:

  • Rs. 10,000 / (1 + 0.98) = Rs. 5,050.50



Interest Calculation:

  • Interest will get on 1st January and 1st July every year.

  • The investment was purchased on 1st April 2001.

  • Therefore, the first interest payment will be received on 1st July 2001.

  • Interest will be calculated for the period from 1st April 2001 to 30th June 2001.

  • Interest rate is not given, but it can be calculated as follows:

  • Face value of securities = Rs. 10,000

  • Cum Interest price of securities = Rs. 5,050.50

  • Therefore, the interest component is Rs. (10,000 - 5,050.50) = Rs. 4,949.50

  • Interest rate = (Interest component / Cum Interest price) x (365 / number of days)

  • Interest rate = (4,949.50 / 5,050.50) x (365 / 91)

  • Interest rate = 0.0975 or 9.75%

  • Interest for the period from 1st April 2001 to 30th June 2001 can be calculated as:

  • Interest = (Investment purchase price x Interest rate x number of days) / 365

  • Interest = (5,050.50 x 0.0975 x 91) / 365

  • Interest = Rs. 124.50



Therefore, the investment purchase price is Rs. 5,050.50 and the interest for the period from 1st April 2001 to 30th June 2001 is Rs. 124.50.
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On 1st April 2001 Insurance Co. purchase 10% securities of Rs. 10,000 at 98% Cum Interest. Interest will get on 1st January and 1st July every year. Find out Investment purchase price and Interest.?
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