The compound interest on a sum of money for
2 years is Rs. 832 and the simple interest on
the same sum for the same period is Rs. 800.
The difference between the compound interest
and the simple interest for 3 years will be:
(a) Rs. 50 (b) Rs. 67
(c) Rs. 98.56 (d) Rs. 75.45
Answers
C.) Rs. 98.56
EXPLANATION:
Given that simple interest for 2 years is Rs.800
i.e., Simple interest for 1st year is Rs.400
and simple interest for 2nd year is also Rs.400
Compound interest for 1st year will be 400
and Compound interest for 2nd year will be 832 - 400 = 432
you can see that compound interest for 2nd year is more than simple interest for 2nd year by 432 - 400 = Rs.32
i.e, Rs. 32 is the interest obtained for Rs.400 for 1 year
Rate, R = 100×SIPT =100×32400×1 =8%
Difference between compound and simple interest for the 3rd year
= Simple Interest obtained for Rs.832
=PRT100 =832×8×1100 =Rs. 66.56
Total difference between the compound and simple interest for 3 years
= 32 + 66.56 = Rs.98.56
HOPE THAT HELPS
PLZZZZZZZZZ MARK AS BRAINLIEST
Answer:
si for 2 years is rupees 800
now si for one year is Rs. 400.
thus simple interest for the first year is rupees 400 and the second year is also rupees 400.
now,
ci for the first year is same as the SI for the 1st year.
so CI for the first year rupees 400
ci for the second year rupees 432
so we can see that the difference between the CI for the second year and the SI for the second year is rupees 32.
so we can say that rupees 32 is the interest for rupees 400 for 1 year.
now for me to find the difference between CI and si for 3 years I required the rate of interest and the principal of money.
rate of interest = (Si * 100) / (p * t)
= 32 * 100 / 400 * 1
= 8
So, rate of interest is 8% per annum
principal = (Si * 100) / (r * t)
= 400 * 100 / 8 * 1
= 5000
so principle is rupees 5000
now,
si = PRT / 100
= 1200
now,
ci = p { ( 1+r/100)^3 – 1}
= 1298.56
so the difference between CI and Si is rupees 98.56 (Ans)