Rashim lent ₹ 600 to Geeta for 2 yr and ₹ 150 to Seeta 4 yr and received altogether ₹ 80 as simple interest from both. Find the rate of interest.

Q: Rashim lent ₹ 600 to Geeta for 2 yr and ₹ 150 to Seeta 4 yr and received altogether ₹ 80 as simple interest from both. Find the rate of interest.

Given. T1 = 2 yr and T2 = 4 yr, P1 = 600, P2 = 150. According to the question, SI1 + SI2 = 80 [(600 x R x 2)/100] + [(150 x R x 4)/100] = 80 ⇒ 120R + 60R = 800 ⇒ 180R = 800 ∴ R = 800/180 = 80/18 = 40/9 = 44/9%

34/9%
24/9%
54/9%
44/9%

Correct Answer: 44/9%

Explanation:

Given. T₁ = 2 yr and T₂ = 4 yr,
P₁ = 600, P₂ = 150.
According to the question,
SI₁ + SI₂ = 80
[(600 x R x 2)/100] + [(150 x R x 4)/100] = 80
⇒ 120R + 60R = 800
⇒ 180R = 800
∴ R = 800/180 = 80/18 = 40/9
= 4⁴/₉%

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