Simple interest on an amount at 4 per annum

Asked by admin @ 11/08/2021 in Math viewed by 301 People

Simple interest on an amount at 4% per annum for 13 months is more than the simple interest on the same sum for 8 months at 6% per annum by rs 40. what is the principle amount

a.3600
b.12000
c.4800
d.24000

Answered by admin @ 11/08/2021

Interest for 13 months at 4%

Interest per year = 4%

interest per month = 4 ÷ 12 = 1/3 %

Interest for 13 months = 1/3 x 13 = 13/3 %

Interest for 8 months at 6%:

interest per year = 6%

interest per month = 6 ÷ 12 = 0.5%

interest for 8 months = 0.5 x 8 = 4%

Define x:

Let the principal amount be x

Solve x:

13/3% of x - 4% of x = 40

1/3 % of x = 40

1% of x = 120

100% of x = 120 x 100 = Rs 12000

Answer: (b) Rs 12000

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