Question

2. What sum lent out at 10% per annum simple interest would produce 300 as interest
in 2 years?​

Answer 1

Answer:

Sum = x

Rate = 10%

Time = 5

SI: 150

SI = (P*R*T)/100

or, 150 = (x .  10 . 5)/100

or, 150 = 1/2. x  

or, 150*2 = x

or, x = Rs. 300

Step-by-step explanation:

Answer 2

Solution:-

$\textsf{\textbf{\red{Let \: the \: principal \: be \: P}}}$

S.I = A – P

S.I = 300 – P

Amount = Rs.300

Rate = 10%

Time = 2 years

$\boxed{\bf{\red{S.I=\frac{PRT}{100}}}}$

$300 - P \: = P \times 10 \times \frac{2}{100} \\ \\ ⟹300 - P = \frac{20P}{100} \\ \\⟹ 30000 - 100P = 20P \\ \\ ⟹30000 = 20P + 100P \\ \\⟹ 30000 = 120P \\ \\ ⟹P = \frac{30000}{120} \\ \\ ⟹P = 250$

Therefore,the sum is Rs.250

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