# DAV Class 8 Maths Chapter 5 Worksheet 3 Solutions

The DAV Class 8 Maths Book Solutions Pdf and DAV Class 8 Maths Chapter 5 Worksheet 3 Solutions of Profit, Loss and Discount offer comprehensive answers to textbook questions.

## DAV Class 8 Maths Ch 5 WS 3 Solutions

Question 1.
Rehana purchased a dress for ₹ 5400 including 8% VAT. Find the price of the dress before VAT was added.
Solution:
Let the price of the dress before the VAT added be ₹ x
∴ VAT = $$\frac{8}{100}$$ × x
= $$\frac{2 x}{25}$$
∴ Price of the dress including VAT = x + $$\frac{2 x}{25}$$
= ₹ $$\frac{27 x}{25}$$
∴ $$\frac{27 x}{25}$$ = 5400
⇒ x = $$\frac{5400 \times 25}{27}$$
⇒ x = 200 × 25
⇒ x = 5000
Hence, the required price is ₹ 5000. Question 2.
Find the amount to be paid for the following items if 5% VAT is charged on each item.

(i) A bottle of hair styling gel at ₹ 185
Solution:
VAT on a bottle of hair style gel = $$\frac{5}{100}$$ × 185 = ₹ 9.25
∴ Price of the bottle = ₹ 185 + ₹ 9.25 = ₹ 194.25

(ii) A laptop at ₹ 55,000
Solution:
VAT on the Laptop = $$\frac{5}{100}$$ × 55,000 = ₹ 2750
∴ Price of the Laptop = ₹ 55000 + ₹ 2750 = ₹ 57750

(iii) A mobile at ₹ 36,200.
Solution:
VAT on mobile = $$\frac{5}{100}$$ × 36200 = ₹ 1810
∴ Price of the mobile = ₹ 36200 + ₹ 1810 = ₹ 38010. Question 3.
Raman purchased a music system at ₹ 48,000 including VAT. If the cost price of the music system was 7 40,000, how much VAT (in %) has he paid?
Solution:
Let the VAT = x%
C.P. = ₹ 40,000
⇒ ₹ 400x
∴ Cost of music system including VAT = ₹ 40,000 + 400x
∴ 40000 + 400x = 48000
⇒ 400x = 48,000 – 40000
⇒ 400x = 8000
⇒ x = $$\frac{8000}{400}$$ = 20
Hence, the VAT = 20%. ### DAV Class 8 Maths Chapter 5 Value Based Questions

Question 1.
Mohit went to a shop and bought a shirt of ₹ 1,650 including 10% VAT. The shopkeeper did not give receipt to him.

(i) Find the amount of VAT not paid by the shopkeeper to the Government.
Solution:
Let the C.P. of the shirt be x such that
x + 10% of x = ₹ 1650
⇒ x + $$\frac{10}{100}$$ × x = 1650
⇒ $$\frac{110 x}{100}$$ = 1650
⇒ x = $$\frac{1650 \times 100}{110}$$ = ₹ 1500
∴ Amount of VAT not paid by the shopkeeper to the Government = 1650 – 1500 = ₹ 150 (ii) Is tax evasion correct? Will you tolerate this?
Solution:
No, never.

(iii) Why it is important to pay tax?
Solution:
It is important to pay tax as the tax paid by us is utilised to develop infrastructure of the country.