Simple & Compound Interest - SSC
Anil lent a sum of ₹5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per annum for the next 2 years and 10 per annum beyond 4 years. How much interest (in ₹) will he earn at the end of 10 years?
- A.
5,000
- B.
4,400
- C.
4,200
- D.
3,500
View AnswerA sum of money is invested at a rate of compounded interest that is paid out yearly. In the first two years, the interest was ₹400 and ₹420 respectively.The sum is:
- A.
₹7,500
- B.
₹9,530
- C.
₹8,000
- D.
₹8,765
If the compound interest on a principal for one year is ₹350 and the compound interest for the second year is ₹420, find the rate of interest.
- A.
30%
- B.
20%
- C.
25%
- D.
15%
Find the compound interest on ₹35,000 in 2 years at 6% per annum, the interest being compounded half-yearly (nearest to a ₹):
- A.
₹4,000
- B.
₹4,193
- C.
₹4,393
- D.
₹4,388
Ramesh bought a house for ₹2,00,000. At the end of the first year, he sold it at a loss of 10% on his investment. He invested the money thus obtained at a rate of 20% p.a. interest compounded aunually for 2 years. The value of this investment would amount to ___________.
- A.
₹2,59,200
- B.
₹2,52,300
- C.
₹2,56,900
- D.
₹2,54,600
On a certain sum, the difference between the compound interest, compounded annually, and the simple interest at 10% per annum for 3 years is ₹93. The sum is:
- A.
₹3,500
- B.
₹3,000
- C.
₹4,000
- D.
₹2,500
A sum of money amounts to ₹4,624 in 2 years and to ₹4,913 in 3 years at a certain rate of interest, when interest is compounded per annum. The sum is _______.
- A.
₹4,412
- B.
₹4,335
- C.
₹4,260
- D.
₹4,096
The value of a residential flat constructed at a cost of ₹10,00,000 is depreciating at a rate of 10% per annum. What will be its value 3 years after the construction
- A.
₹6,29,000
- B.
₹7,29,000
- C.
₹7,92,000
- D.
₹2,78,000
What will be the present value of ₹90,774 due 2 years hence, when the interest is compounded at 23% per annum?
- A.
₹60,000
- B.
₹65,000
- C.
₹60,850
- D.
₹62,950
A certain sum is invested at 26% p.a, interest compounded annually. In how many years (approx) will it double?
- A.
4
- B.
3
- C.
2
- D.
5
A loan of ₹8,925 is to be paid back in two equal half-yearly installments. How much is each installment if the interest is compounded half-yearly at 8% per annum?
- A.
₹4,372
- B.
₹4,732
- C.
₹4,654
- D.
₹4,564
The population of a city increases 5% annually in compounded manner (yearly compounding). The present population of this city is 93051. The population of this city 2 years ago was:
- A.
84400
- B.
84000
- C.
88000
- D.
88400
Find the compound interest on ₹40,000 after 2 years 6 months at 20% per annum, if the interest is compounded half-yearly.
- A.
₹24,820.40
- B.
₹25,520
- C.
₹24,420.40
- D.
₹24,920.40
The value of a machine depreciates every year by 10%. If its present value is ₹35,000, then the value of the machine after 2 years will be:
- A.
₹28,350
- B.
₹27,225
- C.
₹28,000
- D.
₹27,750
A loan is to be repaid in two equal yearly installments. If the rate of interest is 10% per annum, compounded annually, and each installment is ₹6,897, then find the total interest charged.
- A.
₹1,644
- B.
₹1,824
- C.
₹1,914
- D.
₹1,734
The difference between the compound interest and the simple interest on a given principal is ₹1,725 in 2 years and the rate of interest in both cases is 25% per annum, and in the case when interest is compunded, it is compounded annually. Find the principal.
- A.
₹25,600
- B.
₹26,500
- C.
₹26,400
- D.
₹27,600
The population of a town is 80,000. It decreases by 8% in the first year and increases by 5% in the second year. What will be the population of the town at the end of 2 years?
- A.
76150
- B.
86140
- C.
77280
- D.
82540
The difference between the simple interest and compound interest on ₹1,000 for 1 year at 20% per annum, compounded half yearly, is:
- A.
₹ 8
- B.
₹ 5
- C.
₹ 10
- D.
₹ 12
Vinita and Amita are the sisters of Gaurav. Ashish is the father of Vinita. Ansh is the son of Amita. How is Ashish related to Ansh?
- A.
Maternal grandfather
- B.
Paternal uncle
- C.
Paternal grandfather
- D.
Maternal uncle
The difference between compound interest compounded annually and simple interest on a certain sum at a rate of 15% per annum for 2 years is ₹1,944. Find the compound interest compounded annually (in ₹) on the same sum for the same period at a rate of 10% per annum.
- A.
27,216
- B.
18,060
- C.
20,500
- D.
18,144
A sum of ₹18,000 becomes ₹21,780 after 2 years on compound interest compounded annually. What will be the compound interest (in ₹) on the same sum for the same period if the rate of interest increases by 5%?
- A.
5,500
- B.
1,845
- C.
5,805
- D.
4,670
What is the amount (in ₹) of a sum of ₹32,000 at 20% per annum for 9 months, compounded quarterly?
- A.
37,044
- B.
35,087
- C.
32,000
- D.
30,876
On simple interest, a certain sum becomes ₹59,200 in 6 years and ₹72,000 in 10 years. If the rate of interest had been 2% more, then in how many years would the sum have become ₹76,000?
- A.
10
- B.
9
- C.
8
- D.
7
A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between ihe interest at the end of 2 years and that at the end of 4 years is ₹5,082. Find the sum (in ₹).
- A.
20,000
- B.
50,820
- C.
10,164
- D.
25,500
What is the compound interest (in ₹) on a sum of ₹62,500 for 2 years at 12% p.a., if the inerest is compounded 8- monthly?
- A.
13,428
- B.
18,342
- C.
16,232
- D.
16,548