Site navigation

Person A borrows Rs. 4000 from another person B for a duration of 4 years. He borrows a portion of it at 3% simple interest per annum, while the rest at 4% simple interest per annum. If B gets Rs.…

Question and options

Person A borrows Rs. 4000 from another person B for a duration of 4 years. He borrows a portion of it at 3% simple interest per annum, while the rest at 4% simple interest per annum. If B gets Rs. 520 as total interest, then the amount A borrowed at 3% per annum in Rs. is:
  1. 750
  2. 2000
  3. 1000
  4. 3000

Answer and explanation

Correct answer: D - 3000

The amount borrowed at 3% was Rs. 3,000. At 4% for four years the full Rs. 4,000 would incur Rs. 640, and using the lower rate saves 4(0.04−0.03)=0.044(0.04-0.03)=0.04 rupees per rupee borrowed. The Rs. 120 difference therefore gives 120/0.04=3000120/0.04=3000, while Rs. 1,000 is the amount borrowed at 4%.

Practice for these exams

  • IPMAT Indore

Related question papers

Related exam syllabi

More solved explanations in Arithmetic