Question

two friends a and b took loans from bank at 5% and 7.5% per annum simple interest respectively. the amount payable for a after 5 years is 2/5 times to that b in 8 years. if the sum of loans taken by a and b is rs.56700 then find the loan taken by a​

Answer 1

Answer:

19200

Step-by-step explanation:

let a and b took loan P and Q

after 5 year interest of amount of a

= P×5×5/100= P/4

total amount paid by a= P+P/4= 5P/4

after 8 years interest paid by b

= Q×7.5×8/100= 3Q/5

total amount paid by b= Q+3Q/5= 8Q/5

given

5P/4 = 2/5 of 8Q/5= 16Q/25

125P= 64Q

Q= 125P/64.......................(1)

also. P+Q= 56700...................(2)

=> P+ 125P/64= 56700

=> 189P= 56700×64

=> P= 56700×64/189

= 19200