Multiple choice

A sum of Rs.25000 is lent partly at 8% and remaining at 10% per annum. If the yearly interest on the average is 9.2%, the two parts are 25000 रु. की धनराशि को अंशतः 8% पर और शेष को 10% वार्षिक पर उधार दिया जाता है | यदि वार्षिक ब्याज दर औसत रूप से 9.2% है, दोनों भाग है

  1. Rs./रु.10000, Rs./रु.15000

  2. Rs./रु.12000, Rs./रु.13000

  3. Rs./रु.12500, Rs./रु.12500

  4. Rs./रु.16000, Rs./रु.9000

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A Correct answer
Explanation

Use allegation method: the ratio of amounts is (10-9.2):(9.2-8) = 0.8:1.2 = 2:3. This means one part is 2/5 of 25000 = Rs.10000 and the other is 3/5 of 25000 = Rs.15000. The allegation method gives the correct mixing ratio when two different rates are combined to produce an average rate.