1.

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.1). Rs. 10,0002). Rs. 9,0003). Rs. 10,2004). Rs. 11000

Answer»

We KNOW the formula for calculating Simple Interest.

SI = (P × r × t)/100

Where,

SI = Simple Interest

P = Principle

r = RATE of interest (in percentage)

t = Time period

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

⇒ [(P × 11.5 × 1)/100] – [(P × 8.25 × 1)/100] = 325

⇒ 11.5P – 8.25P = 32500

⇒ 3.25P = 32500

⇒ P = Rs. 10000

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


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