Question

on a certain sum of money the difference between the compound interest for a year payable half-yearly and the simple interest for rupees 180 find the sum lent out at the rate of interest in both the cases
is 10% annum​

Answer 1

Answer:

Step-by-step explanation:

→ P=?

→ R=10%

→ CI-SI=Rs 180

→ SI= PRT/100

=10×1P/100=P/10 -----(i)

⇒ CI= P(1+R/200)² -P (HALF YEARLY)

⇒ CI= P(210/200)²-P

⇒ CI=(441P/400) -P

⇒ CI=41P/400--------(ii)

⇒ Diff. = CI-SI= 41P/400 - P/10=P/400

⇒ But, given, diff.= 180

Therefore,

⇒ 180=P/400

⇒ P=Rs 72000