1.

s. Suhani depositeda sum of 9000 in a bank. After 2 years, she withdrew 4000of 5 years, she received 8300. Find the rate of interest on thesum she received.

Answer»

Suhani deposited a sum of 9000 in a bank.so, principal , P = 9000 Rs.Simple interest after 2 years where interest rate r % per annum is given by S.I = 9000 × r × 2/100 = 180r

so, total amount after 2 years , A = 9000 + 180r

now, Suhani withdraw 4000 from her account.rest amount = 9000 + 180r - 4000 = 5000 + 180r

for second case, rest total amount , A = 5000 + 180r but we know, simple interest is applied only on initial principal amount not whole amount. otherwise it will be compound interest. so, principal , P = 5000 time taken, t = 5 years simple interest after (5-2)= 3 years , SI = 5000 × r × 3/100 = 150r

she received in last 8300 so, 180r + 150r + 5000 = 8300330r = 8300 - 5000 = 3300r = 3300/330 = 10%

hence, interest rate is 10%


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