0
Q:

# Kramer borrowed $4000 from George at an interest rate of 7% compounded semiannually. The loan is to be repaid by three payments. The first payment,$1000, is due two years after the date of the loan. The second and third payments are due three and five years, respectively, after the initial loan. Calculate the amounts of the second and third payments if the second payment is to be twice the size of the third payment.

 A) 1389 B) 1359 C) 1379 D) 1339.33

Explanation:

Given:j=7% compounded semiannually making m=2 and i = j/m= 7%/2 = 3.5%
Let x represent the third payment. Then the second payment must be 2x.
PV1,PV2, andPV3 represent the present values of the first, second, and third payments.

Since the sum of the present values of all payments equals the original loan, then
PV1 + PV2  +PV3  =$4000 -------(1) PV1  =FV/(1 + i)^n  =$1000/(1.035)^4=  $871.44 At first, we may be stumped as to how to proceed for PV2 and PV3. Let’s think about the third payment of x dollars. We can compute the present value of just$1 from the x dollars

pv=1/(1.035)^10=0.7089188

PV2   =2x * 0.7089188 = 1.6270013x
PV3   =x * 0.7089188=0.7089188x
Now substitute these values into equation ➀ and solve for x.
$871.442 + 1.6270013x + 0.7089188x  =$4000

2.3359201x  =$3128.558 x=$1339.326
Kramer’s second payment will be 2($1339.326)  =$2678.65, and the third payment will be \$1339.33

Q:

A sum of Rs. 8,000 invested at 10% p.a. amounts to Rs. 9,261 in a certain time, interest compounded half-yearly. What will be the compound interest (in Rs. ) on the same sum for the same time at double the earlier rate of interest, when interest is compounded annually?

 A) Rs. 2,560 B) Rs. 2,480 C) Rs. 2,500 D) Rs. 2,520

Explanation:

1 186
Q:

The compound interest on a certain sum at 16 2/3% p.a. for 3 years is Rs.6,350. What will be the simple interest on the same sum at the same rate for 5 2/3 years?

 A) ₹10,200 B) ₹11,400 C) ₹7,620 D) ₹9,600

Explanation:

0 1497
Q:

A and B together borrowed a sum of Rs.51,750 at an interest rate of 7% p.a. compound interest in such a way that to settle the loan, A paid as much amount after three years as paid by B after 4 years from the day of borrowing. The sum (in Rs) borrowed by B was:

 A) 25,650 B) 26,750 C) 25,000 D) 24,860

Explanation:

0 5315
Q:

A certain amount of money at compound interest grows to Rs.66,550 in 3 years and Rs.73,205 in 4 years. The rate percent per annum is:

 A) 9% B) 5% C) 11% D) 10%

Explanation:

0 4324
Q:

A sum lent out at compound interest amounts to Rs. 1,250 in one year and to Rs. 1,458 in 3 years at a certain rate percentage p.a. What is the simple interest on the same sum for 27/5 years at the same rate of interest?

 A) Rs. 600 B) Rs. 520 C) Rs. 500 D) Rs. 480

Explanation:

0 243
Q:

What will be the difference in compound interest on a sum of Rs.7,800 at 8% for 1 year, when the interest is paid yearly and half yearly?

 A) ₹ 29.18 B) ₹ 12.48 C) ₹ 24.72 D) ₹ 19.46

Explanation:

0 1906
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:

2 323
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