Question

1. What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years ?
2. If Meena gives an interest of ₹ 45 for one year at 9% rate per annum. What is the sum she has borrowed ?


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Answer 1

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1. What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years ?

2. If Meena gives an interest of ₹ 45 for one year at 9% rate per annum. What is the sum she has borrowed ?

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1.

$\huge\boxed{\blue{Given :}}$

➣ Simple Interest (S.I.) = ₹ 280

➣ Principal(P) = ₹ 56,000

➣ Time (T) = 2 years

$\huge\boxed{\red{To \: Find :}}$

➣ Rate of Interest (R)

$\huge\boxed{\pink{Solution :}}$

➪ Simple Interest = $\frac{ PRT} {100}$

⇒ 280 = $\frac{56000 × R × 2 } {100}$

⇒ R = $\frac{280 × 100} {56000 × 2}$

⇒ Rate of interest = 0.25%

➦ So, the rate of interest on a sum of ₹56,000 in 2 years is 0.25%

2.

$\huge\boxed{\blue{Given :}}$

➣ Simple Interest (S.I.) = ₹ 45

➣ Rate of Interest (R) = 9%

➣ Time (T) = 1 year

$\huge\boxed{\red{To \: Find :}}$

➣ The Principal Amount

$\huge\boxed{\pink{Solution :}}$

➪ Simple Interest = $\frac{ PRT} {100}$

⇒ 45 = $\frac{ P × 9 × 1} {100}$

⇒ P = $\frac{ \cancel{45} × 100} {\cancel9}$

⇒ Principal Amount = ₹ 500

➦ So, Meena has borrowed ₹ 500