A shopkeeper sales 30% of his stock at 10% profit and remaining at a loss of…
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A shopkeeper sales 30% of his stock at 10% profit and remaining at a loss of 10%. He incurred an overall loss of Rs. 400. Find the total worth of the stock ?
- A.
Rs 12,500
- B.
Rs 10,000
- C.
Rs 11,500
- D.
Rs 11,000
Attempted by 32 students.
Show answer & explanation
Correct answer: B
Answer: Rs 10,000
Let the total worth of the stock be x.
Revenue from 30% sold at 10% profit = 0.3x × 1.10 = 0.33x.
Revenue from remaining 70% sold at 10% loss = 0.7x × 0.90 = 0.63x.
Total revenue = 0.33x + 0.63x = 0.96x.
Overall loss = cost − revenue = x − 0.96x = 0.04x.
Set this equal to the given loss: 0.04x = 400 ⇒ x = 400 ÷ 0.04 = 10,000.
Hence the total worth of the stock is Rs 10,000.