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Q: `10, 000 is to be distributed among 3 artisans, 5 assistants and 6 labourers in such a way that each assistant receives double the amount of money received by 1 labourer and each artisan receives thrice the amount of money received by 1 labourer. What is the amount of money received by the 3 artisans ?
  • A. `2,700
  • B. `3,600
  • C. `4,000
  • D. `2,400
Correct Answer: Option B - Total Prices = `10000 Artisan : Assistant : Labourer = 3 : 2 : 1 = 3x : 2x : x 3 Artisan : 5 Assistant : 6 Labourer = 9x : 10x : 6x ∴ 9x + 10x + 6x = 10000 25x = 10000 x = `400 ∴All three labourers earns money = 9x = 9 x 400 = `3600
B. Total Prices = `10000 Artisan : Assistant : Labourer = 3 : 2 : 1 = 3x : 2x : x 3 Artisan : 5 Assistant : 6 Labourer = 9x : 10x : 6x ∴ 9x + 10x + 6x = 10000 25x = 10000 x = `400 ∴All three labourers earns money = 9x = 9 x 400 = `3600

Explanations:

Total Prices = `10000 Artisan : Assistant : Labourer = 3 : 2 : 1 = 3x : 2x : x 3 Artisan : 5 Assistant : 6 Labourer = 9x : 10x : 6x ∴ 9x + 10x + 6x = 10000 25x = 10000 x = `400 ∴All three labourers earns money = 9x = 9 x 400 = `3600