Question

2. Find the rate of interest per annum for the following:
(a) P= 5200, SI = 975, T = 2 years 6 months​

Answer 1

Answer:

The rate is 7.5%.

Step-by-step explanation:

Given : Principal P= Rs.5200, simple interest SI= Rs.975 and time T=\frac{5}{2}T=25 year.

To find : The rate ?

Solution :

Applying simple interest formula,

SI=\frac{P\times R\times T}{100}SI=100P×R×T

Substitute the values given,

975=\frac{5200\times R\times \frac{5}{2}}{100}975=1005200×R×25

97500=5200\times R\times \frac{5}{2}97500=5200×R×25

R=\frac{97500\times 2}{5200\times 5}R=5200×597500×2

R=7.5\%R=7.5%

Therefore, the rate is 7.5%.

Step-by-step explanation:

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Answer 2

Answer:

Principal = Rs 5000, rate = 9% p.a. and time = 146 days.

ANSWER:

P=Rs.5000 , R=9% , T=146 days=146365 yearsS.I.=P×R×T100=5000×9×146100×365 =Rs. 180Amount=P+S.I.=5000+180=Rs. 5180