Anand deposited Rs. $6000$ on simple interest. He withdraw Rs. $4000$ and its interest from that amount after $2$ years. After next $3$ years, he withdraw the rest of the amount and its interest accured till that time, in all the obtained Rs. $900$ as interest. The rate of interest per annum was

3 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 %

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

6 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $5 %$
Let the rate of interest p.a. be $x %$ .
Then, interest on Rs. $6000$ after $2$ years $=$ $\frac{2 \times 6000 \times x}{100} = 120 x = I_{1}$
After withdrawing Rs. $4000$ , Rs. $2000$ remained in the account.
$∴$ Interest on Rs. $2000$ for $3$ years $=$ $\frac{3 \times 2000 \times x}{100} = 60 x = I_{2}$
Given, $I_{1} + I_{2} = 900$
$\Rightarrow$ $120 x + 60 x = 900$
$\Rightarrow$ $180 x = 900$
$\Rightarrow$ $x = 5 %$

Suggest Corrections

Similar questions

A person invested 3 times as much money in a scheme giving $5 %$ per annum simple interest than he invested in a scheme giving $2 %$ per annum simple interest. Further, he invested Rs. 6000 more in a scheme giving $3 %$ per annum simple interest than he invested in a scheme giving $2 %$ per annum simple interest. If the total interest from the three investments after a year is Rs. 980, then what is the total amount he invested?

Q. A sum of money amounts to Rs.8400 after 5 years and Rs.9840 after 8 years at the same rate of simple interest. The rate of interest per annum is

Q. Mr. Peter invests an amount of Rs.

12200

at the rate of

2

p.c.p.a. for

4

years to obtain a simple interest . Later he invests the principal amount as well as the amount obtained as simple interest for another

3

years at the same rate of interest. What amount of simple interest will he obtain at the end of the last

3

years?

X lent Rs. 6000 to Y for 3 years and Rs 4000 to Z for 5 years on simple interest at the same rate of interest and received Rs 3200 in all from both of them as interest. The rate of interest per annum is

Q. Find simple interest and amount on

R s . 15000

5 %

per annum after

2

years.

Join BYJU'S Learning Program

Anand deposited Rs. 6000 on simple interest. He withdraw Rs. 4000 and its interest from that amount after 2 years. After next 3 years, he withdraw the rest of the amount and its interest accured till that time, in all the obtained Rs. 900 as interest. The rate of interest per annum was

Anand deposited Rs. $6000$ on simple interest. He withdraw Rs. $4000$ and its interest from that amount after $2$ years. After next $3$ years, he withdraw the rest of the amount and its interest accured till that time, in all the obtained Rs. $900$ as interest. The rate of interest per annum was