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In May 20242024, Roman Matveevich plans to take out a loan for business development for three years in the amount of 1,600,0001,600,000 rubles. Conditions for its return such: Each January debt increases by 25%25\% compared to the end work of the year; -- from February to April of each year it is necessary to pay one fee - press part of the debt; - payments in 20252025 and 20262026 should be equal: -- by May 20272027, the debt must be repaid in full. It is known that all funds after full repayment of the loan it will be equal to 2,637.52,637.5 thousand rubles. How many thousand rubles is the payment Roman Matveevich in 20262026?

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Q. In May 20242024, Roman Matveevich plans to take out a loan for business development for three years in the amount of 1,600,0001,600,000 rubles. Conditions for its return such: Each January debt increases by 25%25\% compared to the end work of the year; -- from February to April of each year it is necessary to pay one fee - press part of the debt; - payments in 20252025 and 20262026 should be equal: -- by May 20272027, the debt must be repaid in full. It is known that all funds after full repayment of the loan it will be equal to 2,637.52,637.5 thousand rubles. How many thousand rubles is the payment Roman Matveevich in 20262026?
  1. Initial Loan Calculation: Initial loan amount: 11,600600,000000 rubles. Each January, the debt increases by 2525%. Calculate the debt by January 20252025.\newlineCalculation: 1,600,000×1.25=2,000,0001,600,000 \times 1.25 = 2,000,000 rubles.
  2. Debt Calculation for January 20262026: From February to April, Roman Matveevich makes equal payments. By January 20262026, the debt should be the same as it was in January 20252025 after the payment. Calculate the debt by January 20262026 before the payment.\newlineCalculation: 2,000,000×1.25=2,500,0002,000,000 \times 1.25 = 2,500,000 rubles.
  3. Total Payment by May 20272027: The payments in 20252025 and 20262026 are equal, and by May 20272027, the debt must be repaid in full. Calculate the total amount paid by May 20272027.\newlineCalculation: 2,637.5×1,000=2,637,5002,637.5 \times 1,000 = 2,637,500 rubles.
  4. Total Payments from 20252025 to 20272027: Determine the total payments made from 20252025 to 20272027. Since the payments in 20252025 and 20262026 are equal, and the debt is fully repaid by 20272027, calculate the payment for each year.\newlineCalculation: 2,637,500−2,500,000=137,5002,637,500 - 2,500,000 = 137,500 rubles for 20272027.

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