5. Vasudevan invested 60,000 at an interest rate of 12% per annum compounded
half yearly. What amount would he get
(1) after 6 months?
(ii) after 1 year?
Answers
Answer:
Here, Principal (P) = Rs. 60000
Time (n) = 6 months = 1 year(compounded half yearly)
Rate of interest (R) = 12% = 6% (compounded half yearly)
Amount (A) = P\left(1+\frac{R}{100}\right)^nP(1+
100
R
)
n
= 60000\left(1+\frac{6}{100}\right)^160000(1+
100
6
)
1
= 60000\left(1+\frac{3}{50}\right)^160000(1+
50
3
)
1
= 60000\left(\frac{53}{50}\right)^160000(
50
53
)
1
= 60000\times\frac{53}{50}60000×
50
53
= Rs. 63,600
After 6 months Vasudevan would get amount Rs. 63,600.
(ii) Here, Principal (P) = Rs. 60,000,
Time (n) = 1 year = 2 year(compounded half yearly)
Rate of interest (R) = 12% = 6% (compounded half yearly)
Amount (A) = P\left(1+\frac{R}{100}\right)^nP(1+
100
R
)
n
= 60000\left(1+\frac{6}{100}\right)^260000(1+
100
6
)
2
= 60000\left(1+\frac{3}{50}\right)^260000(1+
50
3
)
2
= 60000\left(\frac{53}{50}\right)^260000(
50
53
)
2
= 60000\times\frac{53}{50}\times\frac{53}{50}60000×
50
53
×
50
53
= Rs. 67,416
After 1 year Vasudevan would get amount Rs. 67,416.
Step-by-step explanation:
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After 6 months Vasudevan would get amount Rs. 63,600. After 1 year Vasudevan would get amount Rs. 67,416.
Step-by-step explanation:
Time (n) = 6 months = 1 year(compounded half yearly)Rate of interest (R) = 12% = 6% (compounded half yearly
Amount (A) = P(1+R/100 ) ^n
=60000(1+6/100 ) ^1
= 60000(1+53/50 ) ^1
=60000( 53/50 ) ^1
= 60000× 53/50
= Rs. 63,600
Rs. 63,600After 6 months Vasudevan would get amount Rs. 63,600.
(ii) Here, Principal (P) = Rs. 60,000,Time (n) = 1 year = 2 year(compounded half yearly)Rate of interest (R) = 12% = 6% (compounded half yearly)Amount (A) = P(1+R/100 )^n
=60000(1+6/100 )^2
=60000(1+3/50)^2
= 60000( 53/50 ) ^2
=60000× 53/50 ×53/50
= Rs. 67,416
= Rs. 67,416After 1 year Vasudevan would get amount Rs. 67,416.