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1. An amount of Rs 30,00,000 was lent to three persons A B and C respectively @ 12% 14% and 16% for 7,8and 5 years if all repay equal amount on maturity find the amount lent to B?
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1. An amount of Rs 30,00,000 was lent to three persons A B and C respe...
Calculation of amount lent to B


Given information


  • Total amount lent = Rs 30,00,000

  • Rate of interest for person A = 12%

  • Rate of interest for person B = 14%

  • Rate of interest for person C = 16%

  • Time period for person A = 7 years

  • Time period for person B = 8 years

  • Time period for person C = 5 years

  • All three persons repay equal amount on maturity



Calculation of equal amount on maturity

Let x be the equal amount that all three persons will repay on maturity.

  • Amount to be repaid by person A = x

  • Amount to be repaid by person B = x

  • Amount to be repaid by person C = x



Total amount repaid = x + x + x = 3x

Calculation of interest for person A

Amount lent to person A = (12/100) * 30,00,000 * 7 = Rs 25,20,000

Interest to be paid by person A = (12/100) * 25,20,000 = Rs 3,02,400

Calculation of interest for person B

Amount lent to person B = (14/100) * 30,00,000 * 8 = Rs 33,60,000

Interest to be paid by person B = (14/100) * 33,60,000 = Rs 4,70,400

Calculation of interest for person C

Amount lent to person C = (16/100) * 30,00,000 * 5 = Rs 24,00,000

Interest to be paid by person C = (16/100) * 24,00,000 = Rs 3,84,000

Calculation of total interest

Total interest to be paid = 3,02,400 + 4,70,400 + 3,84,000 = Rs 11,56,800

Calculation of amount lent to B

Amount lent to B = Total amount lent - Amount lent to A - Amount lent to C

Amount lent to B = 30,00,000 - 25,20,000 - 24,00,000 = Rs 80,000

Therefore, the amount lent to person B is Rs 80,000.
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1. An amount of Rs 30,00,000 was lent to three persons A B and C respectively @ 12% 14% and 16% for 7,8and 5 years if all repay equal amount on maturity find the amount lent to B?
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