96
Q:

# A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

 A) 650 B) 690 C) 698 D) 700

Explanation:

S.I. for 1 year =  Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698

Q:

Manu invested an amount of Rs. 14800 at the rate of 7% per annum. After how many years will she obtain a simple interest of Rs.15800?

 A) 16.75 yrs B) 15.25 yrs C) 14 yrs D) 13.5 yrs

Explanation:

We know that,

I = PTR/100

ATQ,

15800 = 14800 x T x 6/100

T = 15800/148x7

T = 15800/1036

T = 15.25 yrs.

3 293
Q:

Arun took a loan of Rs. 29000 with simple interest for as many years as the rate of interest. If he paid Rs. 10440 as interest at the end of the loan period, what was the rate of interest?

 A) 5.5% B) 6% C) 6.5% D) 7%

Explanation:

Principle amount = Rs. 29000

Interest = Rs. 10440

Let rate of interest = r%

=> So, time = r years

According to the question,

10440 = 29000 x r x r/100

290 x r x r = 10440

r x r = 1044/29 = 36

r = 6

Hence, the rate of interest = 6% and time = 6 yrs.

3 176
Q:

A sum of Rs. 2600 is invested at two different rates of interest. The difference between the simple interests got after 4 years is Rs 402.80 at these two rates, what is the difference between the rates of interest?

 A) 1.58 B) 2.63 C) 3.87 D) 4.02

Explanation:

Let the two different rates of interests be r1 and r2 respectively.

From the given data,

Hence, the difference in the interest rates = 3.87

3 317
Q:

On Rs. 3500 invested at a simple interest rate of 7 per cent per annum, Rs. 500 is obtained as interest in certain years. In order to earn Rs. 800 as interest on Rs. 4900 in the same number of years, what should be the rate of simple interest?

 A) 8% B) 7.5% C) 9% D) 8.5%

Explanation:

From the given data,

3500x7xt/100 = 500

=> t = 100/49 years

Now, in the second case

The interest per year = 49/100 x 800 = 392

=> 4900 x 1 x r/100 = 392

=> r = 8%

4 323
Q:

On simple interest an amount becomes Rs. 812 in two years and Rs. 924 in four years. What is the rate of interest on that amount?

 A) 7.2% B) 8% C) 8.5% D) 9.3%

Explanation:

We know,

S.I = PTR/100 where P = principal amount, T = time, R = rate of interest

Here in the given data,

Interest for two years S.I = 924 - 812 = Rs. 112

Now, Principal amount P = 812 - 112 = Rs. 700

Now,

R = S.I x 100/PT

R = 112 x 100/700 x 2

R = 11200/1400

R = 8%

Hence, the rate of interest R = 8%.

0 338
Q:

Gopal borrowed some money at 12% simple interest. If he had to pay back Rs. 1280 after 5 years, in order to clear off the loan. How much did he borrow?

 A) Rs. 800 B) Rs. 620 C) Rs. 560 D) Rs. 480

Explanation:

Let the principle amount be Rs. P

Interest rate = 12%

Total amount he paid after 5 years = Rs. 1280

ATQ,

Hence, the amount he borrowed = P = Rs. 800.

6 781
Q:

The simple interest on ₹ 10 for 4 months at the rate of 3 paise per month is

 A) 0.3 Paise B) 1.2 Paise C) 30 Paise D) 3 Paise

Explanation:

Given Principal amount P = Rs. 10

Time T = 4 months

Rate of interest R = 3 ps

Interest I = PTR/100 = 10 x 4 x 3/100 = 12/10 = 1.2 paise.

1 3605
Q:

Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years?

 A) Rs. 364 B) Rs. 432 C) Rs. 498 D) Rs. 554

Explanation:

Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount =

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.