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Question
The cost of a tape-recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape-recorder before sales tax was charged is ______.
Solution
The cost of a tape-recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape-recorder before sales tax was charged is ₹ 10,000.
Explanation:
The cost of tape recorder, inclusive of 8% sales tax = Rs. 10800
Let the price of the tape recorder before sales tax be Rs. x.
So, `x + x xx 8/100 = 10800`
⇒ `(100x + 8x)/100 = 10800`
⇒ 108x = 10800 × 100
⇒ `x = (10800 xx 100)/108`
⇒ x = 100 × 100
⇒ x = Rs. 10000
Hence, the price of the tape recorder before sales tax charged is Rs. 10000.
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