Class 10 Mathematics • Set
Exercise 1.2 Solution
Exel in Mathematics(Vedanta Publication)
Page 1: Questions 4(a) to 6(b)
Compound Interest Solutions
4. a)
Mrs. Tharu deposited Rs 65,000 in Lumbini Bank at the rate of 10% p.a. for 1 year. How much amount will she get under the following cases?
P = Rs 65,000
R = 10% p.a.
T = 1 year
\[\text{(i) Yearly: } A = P\left(1+\frac{R}{100}\right)^T = \text{Rs } 71,500\]
\[\text{(ii) Half-Yearly: } A = P\left(1+\frac{R}{200}\right)^{2T} = \text{Rs } 71,662.50\]
\[\text{(iii) Quarterly: } A = P\left(1+\frac{R}{400}\right)^{4T} = \text{Rs } 71,747.84\]
4. b)
Minakshi invested Rs 85,000 for 1 year in Goodwill Finance at the rate of 8% per annum. Find the interest for different compounding periods.
P = Rs 85,000
R = 8% p.a.
T = 1 year
\[\text{(i) Yearly: } C.I. = \text{Rs } 6,800\]
\[\text{(ii) Half-Yearly: } C.I. = \text{Rs } 6,936\]
\[\text{(iii) Quarterly: } C.I. = \text{Rs } 7,006.73\]
5. a)
Samriddhi deposited Rs 40,000 at 10% p.a. for 1 year. Calculate various compound amounts.
\[\text{Yearly: } \text{Rs } 44,000\]
\[\text{Half-Yearly: } \text{Rs } 44,100\]
\[\text{Quarterly: } \text{Rs } 44,152.52\]
5. b)
Bishwant took a loan of Rs 50,000 at 6% p.a. for 1 year. Compare interest systems.
\[\text{Yearly: } \text{Rs } 53,000\]
\[\text{Semi-Annual: } \text{Rs } 53,045\]
\[\text{Quarterly: } \text{Rs } 53,068.18\]
6. a)
Compare Bank A (9% p.a. yearly) vs Bank B (8% p.a. half-yearly) for Rs 1,00,000 over 2 years.
\[\text{Bank A (Yearly): } \text{Rs } 18,810\]
\[\text{Bank B (Half-Yearly): } \text{Rs } 16,985.86\]