The difference between si and ci on a sum of money for 2 years is Rs. 15. The si on the same sum for 4 years is Rs. 1200. Find the sum and rate of interest
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Given :-
- The difference between SI and CI on a sum of money for 2 years is Rs. 15.
- The SI on the same sum for 4 years is Rs. 1200.
To Find :-
- Find the sum and rate of interest ?
Solution :-
we know that,
- First year SI = First year CI .
- SI is same in each year.
so,
→ 4 years SI = Rs.1200
→ 1 year SI = 1200/4 = Rs.300
then,
→ 1st year SI = 1st year CI = Rs.300
and,
→ 2nd year CI - 2nd year SI = Rs.15 (given)
→ 2nd year CI = 15 + 2nd year SI
→ 2nd year CI = 15 + 300
→ 2nd year CI = Rs.315 .
therefore,
→ Rate = (15 * 100) / 300 = 5% per annum (Ans.)
hence,
→ Principal = (SI * 100) / (R * T)
→ P = (300 * 100) / (5 * 1)
→ P = Rs.6000 (Ans.)
Learn more :-
CI in 2yr is Rs. 1600 and in 3 yrs it will be Rs. 1700. Find the rate of interest.
https://brainly.in/question/32463301
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