Deepak invested some amount on SI out of Rs 47000 and rest amount on CI for two years. If SI is offering 12% p.a. and CI is offering 15% p.a. compounded annuallyand CI is RS 532.5 more than SI, then find amount invested by deepak on CI?
Answers
Answer:
The amount invested by Deepak in CI from a sum of 47000 at an interest of 15% for 2 years is 21000.
Step-by-step explanation:
The amount deposited on SI and CI can be given by the following steps:
Step 1: Let x be the amount invested in SI.
Given the total amount invested, the amount invested in CI will be :
= 47000 - x
Step 2: write down the formulas for getting SI and CI.
SI = Principle × rate/100 × Time
CI = Principle [(1 + i)ⁿ - 1]
Step 3: Substitute the values in the formulas above.
SI = x × 12/100 × 2 = 0.24x
CI = (47000 - x) [(1.15)² - 1]
= 47000 - x [1.3225 - 1]
= 47000 - x (0.3225) = 15157.5 - 0.3225x
Step 4: Relate the two interests according to the information in the question. We have that:
SI - CI = 532.5
Step 5 : Apply this relation and solve for x.
15157.5 - 0.3225x - 0.24x = 532.5
-0.5625x = 532.5 - 15157.5
-0.5625x = - 14625
The negatives cancel out.
0.5625x = 14625
x = 14625/0.5625
x = 26000
Step 6: Get the amount invested in CI.
The amount invested in CI is given by :
= 47000 - 26000 = 21000
Answer:
Ans is 21000₹
Step-by-step explanation:
SI for 2 Year=24%
while CI for 2 year =32.25%
Now,
32.25% Of X - 24% of (47000-X)=532.5
or, 56.25% Of X= 532.5 + 11280
or, X = 11812.5/56.25=210
so, 100% of X=21000₹