Question

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4. Mr. X lent 600 to Mr Y for 2 years and 150 to Mr. Z for 4 years. He received 90 as interest from
both of them. Find the rate of interest he charged from them.​

Answer 1

Answer:

Let rate = R% per annum.

Then, [(600 x R x 2)/ 100 ] + [(150 x R x 4 ) / 100] = 90

⇒ 18R = 90

∴ R = 5%

To find time

SInce I = PTR/100

Therefore t = 100I/Pr

Answer 2

Answer:

• The rate of interest he charged from them is 5% per annum.

Step-by-step explanation:

Given that:

• Mr. X lent 600 to Mr Y for 2 years and 150 to Mr. Z for 4 years.
• He received 90 as interest from both of them.

To Find:

• The rate of interest he charged from them.

Formula used:

• S.I = (P × R × T)/100

Where,

• S.I = Simple interest
• P = Principal
• R = Rate of interest
• T = Time

Let us assume:

• The rate of interest he charged from them be R.

Finding the rate of interest:

According to the question.

⇢ (600 × R × 2)/100 + (150 × R × 4)/100 = 90

⇢ 1200R/100 + 600R/100 = 90

⇢ 12R + 6R = 90

⇢ 18R = 90

⇢ R = 90/18

⇢ R = 5

Hence,

• The rate of interest he charged from them is 5% per annum.