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₹63000 is divided between two schemes — one paying 8% per annum simple interest for 5 years, the other 10% per annum simple interest for 3 years — so that the two produce exactly the same interest. The amount placed in the 10% scheme (in ₹) is:

Competition practiceRatio, Percentage & Commercial Math
  • A27000
  • B28000
  • C31500
  • D36000

Step-by-Step Solution

Over its whole term the first scheme returns of the money put in and the second . Equal interest needs , so A : : 4 and = ₹36000. (Check: = ₹10800 and = ₹10800.) ₹27000 is the other scheme's share — the ratio read the wrong way up; ₹31500 splits the money down the middle, which would be right only if the two schemes had equal rate-times; and ₹28000 comes from equalising on the RATES alone and forgetting that the terms differ.
Answer: D) 36000

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