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 inclusive of sales tax(@ 8%) = Rs. 10,800
We can therefore write,
Price before sales Tax + 4% of Price before sales tax = Rs. 10,800
Let price before sales tax = x, therefore
x + 8% of x = 10,800
x + (8/100)x = 10,800
x + 8x/100 = 10,800
x + 2x/25 = 10,800
27x/25 = 10,800
x = 400 × 25
= Rs. 10,000
✦ Try This: The cost of a tape-recorder is Rs 13,200 inclusive of sales tax charged at 10%. The price of the tape-recorder before sales tax was charged is _________.
The cost of a tape recorder inclusive of sales tax(@ 8%) = Rs. 10,800
We can therefore write,
Price before sales Tax + 4% of Price before sales tax = Rs. 10,800
Let price before sales tax = x, therefore
x + 10% of x = 13,200
x + (10/100)x = 13,200
x + x/10 = 13,200
11x/10 = 13,200
x = 13,200 × (10/11)
x = 1200 × 10
x = Rs. 12000
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 8
NCERT Exemplar Class 8 Maths Chapter 9 Problem 42
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 _________
Summary:
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
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