16. Saurav lends * 12,000 to Vikas for 4 years and * 30,000 to Naresh for 6 years at the same rate of interest.
Total interest he received from both is * 2,400. Find the rate of interest.
Answers
Answer:
RATE = SI+100/P*T
Explanation:
Answer:
Here's Your Answer
Explanation:
The rate is 1.05%
Step-by-step explanation:
Since, Saurabh lends Rs 12000 for 4 years at the rate of r% (say).
So, SI_1 = \dfrac{P\times r\times t}{100}SI
1
=
100
P×r×t
SI_1 = \dfrac{12000\times r\times 4}{100}SI
1
=
100
12000×r×4
SI_1 = 480rSI
1
=480r ............(1)
Similarly, Saurabh lends Rs 30000 for 6 years at the rate of r%.
Therefore, SI_2 = \dfrac{P\times r\times t}{100}SI
2
=
100
P×r×t
SI_2 = \dfrac{30000\times r\times 6}{100}SI
2
=
100
30000×r×6
SI_2 = 1800rSI
2
=1800r ........(2)
The sum of both interests is Rs 2400.
SI_1 + SI_2 = 2400SI
1
+SI
2
=2400
480r + 1800r = 2400
2280r = 2400
r = \dfrac{240}{228}\%r=
228
240
%
r = 1.05%
Thus, the rate is 1.05%.