The price of an article is Rs 8250 which includes all tax at 10%. Find how much more or less does a customer pay for for the article if the tax on the article :
a) increases to 15%
b) decreases to 6%
c) increases by 2%
d) decreases by 3%
Answers
Answer:
ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ ⬇️
Step-by-step explanation:
ᴘʀɪᴄᴇ ᴏғ ᴀɴ ᴀʀᴛɪᴄʟᴇ = ₹ 8,250
ʀᴀᴛᴇ ᴏғ sᴀʟᴇs ᴛᴀx = 10%
ʟᴇᴛ ᴛʜᴇ ʟɪsᴛ ᴘʀɪᴄᴇ = x
∴ sᴀʟᴇs ᴛᴀx = x × (10/100) = x/10
sᴀʟᴇs ᴘʀɪᴄᴇ = x + (x/10) = 11x/10
∴ 11x/10 = 8250
x = (8250 × 10)/11 = 7,500
∴ ʟɪsᴛ ᴘʀɪᴄᴇ = ₹ 7, 500
(ɪ) ʀᴀᴛᴇ ᴏғ sᴀʟᴇs ᴛᴀx = 15%
∴ sᴀʟᴇ ᴘʀɪᴄᴇ = ₹ 7,500 ((100 + 15)/100)
= ₹ 7500 × (115/100) = ₹ 8,625
∴ ᴄᴜsᴛᴏᴍᴇʀ ᴡɪʟʟ ᴘᴀʏ ᴍᴏʀᴇ.
ʜᴇɴᴄᴇ ɪɴᴄʀᴇᴀsᴇ = 8,625 – 8, 250 = ₹ 375
(ɪɪ) ʀᴀᴛᴇ ᴏғ sᴀʟᴇs ᴛᴀx = 6%
∴ sᴀʟᴇ ᴘʀɪᴄᴇ = ₹7,500 ((100 + 6)/100)
= ₹ 7,500 × (106/100) = ₹7,950
∴ ᴛʜᴇ ᴄᴜsᴛᴏᴍᴇʀ ᴡɪʟʟ ᴘᴀʏ ʟᴇss ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏғ
₹ 8,250 - ₹7,950 = ₹300
(ɪɪɪ) ʀᴀᴛᴇ ᴏғ sᴀʟᴇs ᴛᴀx = (10 + 2) % = 12%
∴ sᴀʟᴇ ᴘʀɪᴄᴇ = ₹ 7, 500 × ((100 + 12)/100)
= ₹ 7,500 × (112/100) = ₹ 8400
∴ ᴛʜᴇ ᴄᴜsᴛᴏᴍᴇʀ ᴡɪʟʟ ʜᴀᴠᴇ ᴛᴏ ᴘᴀʏ ᴍᴏʀᴇ ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏғ ₹8400 – ₹ 8250
= ₹ 150
(ɪᴠ) ʀᴀᴛᴇ ᴏғ sᴀʟᴇs ᴛᴀx = 10 – 3 = 7%
∴ sᴀʟᴇ ᴘʀɪᴄᴇ = ₹ 7500 × ((100 + 7)/100)
= ₹ 7,500 × (107/100) = ₹8,025
∴ ᴛʜᴇ ᴄᴜsᴛᴏᴍᴇʀ ᴡɪʟʟ ʜᴀᴠᴇ ᴛᴏ ᴘᴀʏ ʟᴇss
= ₹ 8.250 - ₹ 8,025 = ₹225
ANSWER:
Price of an article = ₹ 8,250
Rate of Sales Tax = 10%
Let the list price = x
∴ Sales Tax = x × (10/100) = x/10
Sales price = x + (x/10) = 11x/10
∴ 11x/10 = 8250
X = (8250 × 10)/11 = 7,500
∴ List price = ₹ 7, 500
(i) Rate of sales tax = 15%
∴ Sale price = ₹ 7,500 ((100 + 15)/100)
= ₹ 7500 × (115/100) = ₹ 8,625
∴ Customer will pay more.
Hence increase = 8,625 – 8, 250 = ₹ 375
(ii) Rate of sales Tax = 6%
∴ Sale price = ₹7,500 ((100 + 6)/100)
= ₹ 7,500 × (106/100) = ₹7,950
∴ The customer will pay less the amount of
₹ 8,250 - ₹7,950 = ₹300
(iii) Rate of sales tax = (10 + 2) % = 12%
∴ Sale price = ₹ 7, 500 × ((100 + 12)/100)
= ₹ 7,500 × (112/100) = ₹ 8400
∴ The customer will have to pay more the amount of ₹8400 – ₹ 8250
= ₹ 150
(iv) Rate of sales Tax = 10 – 3 = 7%
∴ Sale price = ₹ 7500 × ((100 + 7)/100)
= ₹ 7,500 × (107/100) = ₹8,025
∴ The customer will have to pay less
= ₹ 8.250 - ₹ 8,025 = ₹225
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