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Anil lent a sum of money to Sunil at 8.25% per annum simple interest. Sunil lent the entire sum to Devi on the same day at 11.5% per annum simple interest. After a year Sunil earned a sum of Rs. 325 from the whole transaction. Find the sum of money lent by Anil to Sunil.

Anil lent a sum of money to Sunil at 8.25% per annum simple interest. Sunil lent the entire sum to Devi on the same day at 11.5% per annum simple interest. After a year Sunil earned a sum of Rs. 325 from the whole transaction. Find the sum of money lent by Anil to Sunil. Correct Answer Rs. 10,000

Given:

Anil lent a sum of money to Sunil at 8.25% per annum simple interest.

Sunil lent the entire sum to Devi on the same day at 11.5% per annum simple interest.

Sunil earned a sum of Rs. 325 from the whole transaction. 

Formula Used:

SI = (P × r × t)/100

Where, SI = Simple Interest, P = Principal, r = Rate of interest (in percentage)

t = Time period

Calculation:

It is given that,

Rate at which Anil lent to Sunil, r1 = 8.25%

Rate at which Sunil lent to Devi, r2 = 11.5%

Earnings by Sunil = Rs. 325

Let the sum lent by Anil to Sunil be P.

Interest earned by Anil, SI1 = (P × 8.25 × 1)/100

Interest earned by Sunil, SI2 = (P × 11.5 × 1)/100

Net earnings of Sunil = SI1 – SI2 = Rs. 325

⇒ – = 325

⇒ 11.5P – 8.25P = 32500

⇒ 3.25P = 32500

⇒ P = Rs. 10000

∴ The sum lent by Anil to Sunil is Rs. 10000.

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