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CBSE Class 10 Maths (Basic) 2025 · Paper 430/2/1 · Question 37

Arithmetic Progressions 4 marks Medium
A woman borrowed Rs 10,00,000 from her friend and promised to return the borrowed money in monthly instalments beginning from the next month. After one month, she returned Rs 10,000, the next month she returned Rs 15,000, the third month she returned Rs 20,000 and so on, thereby increasing the monthly instalment uniformly.
  1. (i)Find the amount of instalment paid in the tenth month.[1]
  2. (ii)In which instalment did she pay Rs 40,000 ?[1]
  3. (iii)(a)If she returned Rs 11,50,000 in all, how many instalments did she pay ?[2]
  4. (iii)(b)By which instalment has she returned a total amount of Rs 3,25,000 ?[2]

Answer

(i) The tenth instalment is ₹55,000; (ii) She paid ₹40,000 in the 7th instalment; (iii)(a) She paid 20 instalments; (iii)(b) She had returned ₹3,25,000 by the 10th instalment.

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