from a handpicked tutor in LIVE 1-to-1 classes

# A TV set was bought for Rs 26,250 including 5% VAT. The original price of the TV set is

(a) Rs 27,562.50

(b) Rs 25,000

(c) Rs 24,937.50

(d) Rs 26,245

**Solution:**

The Purchase Price of the TV set = Rs. 26,250

The given price includes the Value Added Tax of 5%.

Let the original price be = x

Hence we san state that:

x + 5% of x = 26,250

x + (5/100) × x = 26,250

x(1 + 5/100) = 26,250

x(1 + 0.05) = 26,250

1.05x = 26,250

x = 26,250/1.05

= 26,250 × (100/105)

= (26,205/105) × 100

= 250 × 100

= Rs. 25000

**✦ ****Try this: **A TV set was bought for Rs 26,500 including 10% VAT. The original price of the TV set is

The Purchase Price of the TV set = Rs. 27,500

The given price includes the VAT 10%. Therefore the original price of the TV set is:

Let the original price be = x

Hence we san state that:

x + 10% of x = 27,500

x + (10/100) × x = 27,500

x(1 + 10/100) = 27,500

x(1 + 0.10) = 27,500

1.10x = 27,500

x = 27,500/1.10

= 27,500 × (100/110)

= (27,500/110) × 100

= 250 × 100

= Rs. 25000

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 8

**NCERT Exemplar Class 8 Maths Chapter 9 Problem 18**

## A TV set was bought for Rs 26,250 including 5% VAT. The original price of the TV set is (a) Rs 27,562.50, (b) Rs 25,000, (c) Rs 24,937.50, (d) Rs 26,245

**Summary:**

A TV set was bought for Rs 26,500 including 10% VAT. The original price of the TV set is Rs. 25000

**☛ Related Questions:**

visual curriculum