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  9. Q160

SSC CHSL 2016 · Question 160 of 188

S, T and U started a business and their capitals are in the ratio of 3 : 4 : 6. At the end they receive the profit in the ratio of 1 : 2 :

Profit and Loss

  1. A3 : 2 : 2
  2. B2 : 3 : 3 3. 2 : 2 : 3Correct
  3. CWhat will be the respective ratio of time period for which they contributed their capitals?
  4. D4 : 5 : 3

Answer: B. 2 : 3 : 3 3. 2 : 2 : 3

Explanation

Let capitals ratio of S, T and U are 3x, 4x and 6x Let time period to contribute in business by S, T and U are n1, n2 and n3 respectively \ Profit ratio = 3xn1 : 4xn2 : 6xn3 = 1 : 2 : 3 3n1 : 4n2 : 6n3 = 1 : 2 : 3 n 3 and 2 =  n3 3 1965 × 100 = ` 2620 75 S.P. = 3013 Profit = 3013 – 2620 = 393 Profit % = 200 × 100 = 25% 800 3n1 1 n 1 4 2 = ⇒ 1 = × = 4 n2 2 n2 2 3 3 S.P. × 100 1965 × 100 = 100 − Loss% 100 − 25 =

Source: SSC CHSL Tier-I Solved Paper (5 March 2017, Shift-1) — Oswaal solved paper with answer key and explanations · reliable-secondary

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