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.