mr valia invested some money at a certain rate of simple interest per annum. The total amounts received by him were rs.7654.4 in 2 years and rs.7948.8 in 4 years respectively. Find principal and the rate of simple interest.
Answers
Answer:
Step-by-step explanation:
Simple Interest is given as = PRT/100;
Here P = Principal Amount, R = Rate of interest, T = Time;
Total amount after certain year = P + PRT/100
7654.4 = P + PR*2/100; Eq. 1;
7948.8 = P + PR*4/100; Eq. 2;
Now solving both the equations
7654.4 = P + 0.02PR:
7948.8 = P + 0.04PR;
Now Eq. 1 - Eq. 2;
294.4 = PR*2/100;
14720 = PR;
Putting this value in 7654.4 = P + 0.02PR;
7654.4 = P + 0.02*14720;
P = 7654.4 - 294.4
P = 7360;
Not putting this value in 14720 = PR;
we get ;
R = 14720/7360
R = 2
Answer:
Step-by-step explanation:
Simple Interest = P * R * T/100
P = principle Rs
R = Rate of interest per annum
T = time period of investment in Years
Interest in two years = P * R * 2 /100
Interest in 4 Years = P * R * 4/100
Interest of two years = Interest of 4 years - Interest of two years
4PR/100 - 2PR/100 = 2PR/100 ( interest from 2 to 4 years = interest from 2 Years)
7948.8 - 7654.4 = 2PR/100 ( Amount from 4th year - amount from 2nd Year)
=> 2PR/100 = 294.4
7654.4 = P + 2PR/100 ( amount received after 2 years)
=> 7654.4 = P + 294.4
=> P = 7360 Rs
2 * 7360 R /100 = 294.4
=> R = 2944/(2 * 736)
=> R = 2 % per annum