The original price of a washing machine which was bought for Rs 13,500 inclusive of 8% VAT is
(a) Rs 12,420
(b) Rs 14,580
(c) Rs 12,500
(d) Rs 13,492
Solution:
The purchase price of the washing machine includes the VAT(Value Added tax), which means that:
8% of the original price + original price = Rs. 13,500
Therefore,
Let original price be x and hence
8% of x + x = 13500
(8/100) × (x) + x = 13500
x(8/100 + 1) = 13500
1.08x = 13500
x = 13500/1.08
= (13500 × 100)/108
= (13500/108) × 100
= (1500/12) × 100
= (500/4) × 100
= 125 × 100
= Rs. 12,500
✦ Try this: Determine the original price of a washing machine which was bought for Rs13,200 inclusive of 10% VAT.
10% of the original price + original price = Rs. 15,000
Therefore,
Let original price be x and hence
10% of x + x = 13,200
(10/100) × (x) + x = 13,200
(x)(10/100 + 1) = 13,200
1.10x = 13,200
x = 13,200/1.10
= (13,200 × 100)/110
= (13,200/110) × 100
= (1200/10) × 100
= 120 × 100
= Rs. 12000
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 8
NCERT Exemplar Class 8 Maths Chapter 9 Problem 16
The original price of a washing machine which was bought for Rs 13,500 inclusive of 8% VAT is (a) Rs 12,420, (b) Rs 14,580, (c) Rs 12,500, (d) Rs 13,492
Summary:
The original price of a washing machine which was bought for Rs 13,500 inclusive of 8% VAT is Rs. 12,500
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