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Raj lent a total of 50,000 rupees to two people He lent a certain amount to A at 10% per annum simple interest and lent the remaining amount to B at 5% per annum simple interest. He lent each amount for two years and received 8200 as the total interest. What is the sum he lent to the A?
1. 10000
2. 32000
3. 16000
4. 12000

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Correct Answer - Option 2 : 32000

Given:

For A he lent at 10% per annum

For B he lent at 5% per annum

Concept:

Simple interest = (Principle × Time × Rate)/100

Calculation:

⇒ Let sum that Raj lent to A be x, and Sum lent to B is (50,000 - x)

⇒ 2 × [(10/100) × (x) + (5/100) × (50,000 – x)] = 8200

⇒ A = 32000

∴ The required result will be 32000.

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