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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 75 of 200

Q75
ArithmeticRatio, Proportion & Mixtures
₹ 2,820 is to be divided among A, B and C such that 3 times A's share is equal to 4 times B's share and 5 times C's share. Find A's share.
  1. a.₹ 1,200
  2. b.₹ 950
  3. c.₹ 705
  4. d.₹ 1,655

Answer: (A) ₹ 1,200

If 3A = 4B = 5C, the shares are in the ratio $\frac{1}{3} : \frac{1}{4} : \frac{1}{5}$ = 20 : 15 : 12, i.e. 47 parts. Each part is 2820 ÷ 47 = ₹ 60, so A gets 20 × 60 = ₹ 1,200 (B ₹ 900, C ₹ 720). ₹ 705 is a quarter of the total.

Q74 Whole paperQ76