Question

The difference of s.I and c.I on a sum at 5% per annum for 3 years is rs. 1525. Find the sum

Answer 1

THANKS FOR THE QUESTION !

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ANS :

...................... 2,00,000 RS ......................

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GIVEN :

=> FOR SIMPLE AND COMPOUND INTEREST :

TIME PERIOD :

=> 3 YRS

RATE OF INTEREST :

=> 5%

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LET,

=> PRINCIPAL :

=> 100X

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TO FIND :

=> SIMPLE INTEREST

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FORMULA FOR SIMPLE INTEREST :

=> P * N * R / 100

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SIMPLE INTEREST :

=> 100X * 3 * 5 / 100

=> 15X

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TO FIND :

=> COMPOUND INTEREST

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FORMULA FOR COMPOUND INTEREST :

=> P ( 1 + R / 100 ) ^ N

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AMOUNT OF COMPOUND INTEREST :

=> 100X ( 1 + 5 / 100 ) ^ 3

=> 100X ( 105 / 100 ) ^ 3

=> 100X ( 21 / 20 ) ^ 3

=> 100X * 21 / 20 * 21 / 20 * 21 / 20

=> 5X * 21 * 21 / 20 * 21 / 20

=> X * 21 * 21 * 21 / 80

=> X * 115.7625

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AMOUNT :

=> 115.7625 + X

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COMPOUND INTEREST :

=> AMOUNT - PRINCIPAL

=> 115.7625X - 100X

=> 15.7625 X

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NOW,

=> WE HAVE GIVEN :

=> THE DIFFERENCE BETWEEN SIMPLE INTEREST AND COMPOUND INTEREST ON THAT SUM :

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TO FIND :

=> DIFFERENCE BETWEEN COMPOUND INTEREST AND SIMPLE INTEREST

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COMPOUND INTEREST - SIMPLE INTEREST

=> 15.7625X - 15X

=> 0.7625X

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=> BUT THE DIFFERENCE IS RS 1,525

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SO,

=> 0.7625X = 1,525 RS

=> X = 1,525 / 0.7625


=> X = 2,000 RS

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TO FIND :

=> PRINCIPAL

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PRINCIPAL :

=> 100X

=> 100 * 2,000 RS

=> 2,00,000 RS

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HOPE IT WILL HELP U .......

THANKS AGAIN ........

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