Question

a man borrows money at 3% per annum interest payable yearly and lends it immediately at 5% per annum interest payable half-yearly and gains there rupees 165 of year what sum of money does he borrows rupees 6000 rupees 8000 rupees 9000 rupees 7500​

Answer 1

Answer:

a man borrows money at 3% per annum interest payable yearly

CI = P(1-(1+R)/100)^t

$ci = p(1 - {(1 + \frac{3}{100})} )$

lends it immediately at 5% per annum interest payable half-yearly

$ci = p{(1 - {(1 + \frac{5}{200}) }^{2}) }$

Substrate equation 2 to 1 -

We get,

$165 = p ({ (\frac{21}{20} )}^{2} - \frac{103}{100} )$

$165 = p( \frac{441}{400} - \frac{412}{400} )$

P = 165*400/29

P = 2275