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A salesman is allowed a discount 5.5% on the total sales made by him plus a bonus of 0.5% on sales over Rs. 10,000. If his total earnings w…

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A salesman is allowed a discount 5.5% on the total sales made by him plus a bonus of 0.5% on sales over Rs. 10,000. If his total earnings were Rs. 1,990, then his total sales (in Rs) were: 
  • ARs. 34,000
  • BRs. 45,000
  • CRs. 22,000
  • DRs. 32,000
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Discussion 1

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Let the salesman’s total sales be Rs. (10,000 + x), then,

According to the question,

(10,000 × 5.5% + x × 6%) = 1990

⇒ 5000 × (11/100) + x × (6/100) = 1990

⇒ 5000 × 11 + 6 × x = 1,99,000

⇒ 6x = 199000 – 55000

⇒ 6x = 144000

⇒ x = 144000/6 = 24,000

∴ Total sales = Rs. (10,000 + 24,000) = Rs. 34,000

Hence, the required total sales were Rs. 34,000.