10
Q:

How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?

 A) 65years B) 56years C) 45years D) 57years

Explanation:

Simple interest is given by the formula SI = (pnr/100), where p is the principal, n is the numberof years for which it is invested, r is the rate of interest per annum

In this case, Rs. 1250 has become Rs.10,000.

Therefore, the interest earned = 10,000 – 1250 = 8750.

8750 = [(1250 x n x 12.5)/100]

=> n = 700 / 12.5 = 56 years.

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.

1 292
Q:

On retirement, a woman gets Rs. 1,45,440 of her provident fund which she invests in a scheme at 20% per annum. Her monthly income from this scheme will be

 A) Rs. 2550 B) Rs. 2424 C) Rs. 2224 D) Rs. 2380

Explanation:

Now, the principal amount P = Rs. 1,45,440

Rate of interest R = 20%/annum

Now monthly income I = PTR/100 = 1,45,440 x 20 x 1/100 x 12

= 2908800/1200

= Rs. 2424.

Hence, her monthly income = Rs. 2424.

1 548
Q:

In what time will Rs. 1860 amount to Rs. 2641.20 at simple interest 12% per annum?

 A) 2.9 years B) 3.5 years C) 4.2 years D) 4.7 years

Explanation:

Given that Rs. 1860 will become Rs. 2641.20 at 12%

=> Simple Interest = 2641.20 - 1860 = Rs. 781.20

We know I = PTR/100

=> 781.20 x 100 = 1860 x T x 12

=> T = 78120/1860x12

=> T = 78120/22320

=> T = 3.5 years.

15 1298
Q:

A sum of money triples itself in 8 years simple interest. Find the rate of percent per annum?

 A) 30% B) 25% C) 22% D) 18%

Explanation:

The rate of percent R is given by,

29 4405
Q:

A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ?

 A) Rs. 175 B) Rs. 220.75 C) Rs. 126 D) Can't be determined

Explanation:

Here given Interest earned = Rs. 2260

Time = 3 years

Rate of interest = ?

Principal Amount = ?

So, it can't be determined.

15 993
Q:

A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ?

 A) 14.5% B) 11% C) 12% D) 10.5%

Explanation:

Let the interest rate be r%

We know that,

S.I = PTR/100

=> (1540 x 5 x r)/100  +  (1800 x 4 x r)/100 = 1788

=> r = 178800/14900 = 12%

15 1591
Q:

The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ?

 A) Rs. 6000 B) Rs. 5550 C) Rs. 7500 D) Rs. 6580

Explanation:

Let the sum invested be Rs. P

Let the rate of interest be R% per annum

=> Interest earned for 5 years = (P x 5 x R/100) = PR/20

Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)%

=> SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100

Hence,

PR/20 + 10P/100 = PR/20 + 600

=> P = 6000

Therefore, the sum invested is Rs. 6000

9 1232
Q:

Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year.

 A) Rs. 101 B) Rs. 98.5 C) Rs. 124.3 D) Rs. 112.5

Explanation:

Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest

She also lends it at 6 1⁄4% p.a for 2 years

=> Total Gain = 6 1/4% − 4% = 2 1/4%

So her gain in the transaction for 1 year

= The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum

$\frac{PTR}{100}=\frac{5000×\frac{9}{4}×1}{100}$ = Rs. 112.5/ year.