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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 157 of 200

Q157
ArithmeticPercentage, Profit & Loss
The sum of two numbers is 2490. If 6·5% of one number is equal to 8·5% of the other, the greater number is
  1. a.1079
  2. b.1380
  3. c.1411
  4. d.1250

Answer: (C) 1411

6·5a = 8·5b gives a : b = 8·5 : 6·5 = 17 : 13. The greater number is $\frac{17}{30} \times 2490 = 1411$, and the smaller is 1079. Option A is the smaller number.