69
Q:

# A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent

 A) 3400 B) 4400 C) 5400 D) 6400

Explanation:

Interest for 1 year is the same whether it's simple interest or the compound interest.

Now interest of third year = 8575 - 7350 = 1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest = 1225

if 100 is the principal interest =(1225/7350) * 100 = 50/3 %

When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100

Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %

Therefore amount after 2 years = 100 + 325/9 = 1225/9

If 1225/9 is the amount principal =100

if 7350 is the amount principal =(900/1225)*7350 =5400

So sum = 5400; Rate = 50/3 %

Q:

Amit borrowed a sum of Rs. 25,000 on simple interest. Bhola borrowed the same amount on compound interest(interest compounded yearly). At the end of 2 years, Bhola had to pay Rs. 160 more interest than Amit. The rate of interest charged per annum is:

 A) 1625∘∘ B) 825∘∘ C) 8∘∘ D) 318∘∘

Explanation:

4 1079
Q:

A sum of Rs 15000 is lent at compound interest (compounded annually) at an interest rate of 20% per annum. If the interest is compounded half yearly, then how much more interest (in Rs) will be obtained in one year?

 A) 225 B) 150 C) 75 D) 300

Explanation:

4 948
Q:

A sum of money when invested for a year at the rate of 10% interest per annum compounded half-yearly becomes ₹ 44,100 at maturity. The sum invested was ............

 A) ₹ 40000 B) ₹ 40500 C) ₹ 39800 D) ₹ 40250

Explanation:

3 976
Q:

A certain sum amounts to Rs.280900 in 2 years at 6% per annum, interest compounded annually. The sum is:

 A) Rs.250000 B) Rs.200000 C) Rs.350000 D) Rs.550000

Explanation:

0 954
Q:

₹ 10000, invested at 30% rate of interest per annum. but compounded every four months, will give an amount of ₹ ...... in one year.

 A) 13270 B) 13000 C) 13300 D) 13310

Explanation:

1 4632
Q:

The compound interest on a certain sum at the end of two years is Rs.408. The simple interest on the same sum for the same time is Rs.400. The rate of interest per annum is:

 A) 2% B) 80% C) 40% D) 8%

Explanation:

2 1031
Q:

Rs 10000 is kept at compound interest at an interest rate of 18% per annum (compounding annually). If the compounding of interest is done half yearly, then how much more interest (in Rs) will be obtained?

 A) 243 B) 324 C) 81 D) 162

Explanation:

4 859
Q:

A sum of Rs 6000 is borrowed at compound interest at the rate of 8% per annum. What will be the amount (in Rs) after 2 years?

 A)  6998.4 B) 6960 C) 6784.4 D) 6869.4