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