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All questions of Shares and Valued Added Tax for JAMB Exam

If the price of an item is ₦1,000 inclusive of VAT, what is the original price before VAT?
  • a)
    ₦750
  • b)
    ₦825
  • c)
    ₦875
  • d)
    ₦925
Correct answer is option 'B'. Can you explain this answer?

Let the original price before VAT be P.
VAT = 7.5% of P
Price inclusive of VAT = P + VAT
₦1,000 = P + 0.075P
₦1,000 = 1.075P
P = ₦1,000 / 1.075
P ≈ ₦825 (Original price before VAT)

In a partnership, A invested ₦80,000 for 6 months, while B invested ₦120,000 for 8 months. If they shared a profit of ₦60,000, what is A's share?
  • a)
    ₦20,000
  • b)
    ₦25,000
  • c)
    ₦30,000
  • d)
    ₦35,000
Correct answer is option 'C'. Can you explain this answer?

The share of each partner is determined based on their investment and the time period.
A's share is (₦80,000 x 6 months) / [(₦80,000 x 6 months) + (₦120,000 x 8 months)] x ₦60,000
= ₦30,000.

In a partnership, A invested ₦60,000 for 4 months, while B invested ₦90,000 for 6 months. If they shared a profit of ₦30,000, what is B's share?
  • a)
    ₦9,000
  • b)
    ₦12,000
  • c)
    ₦15,000
  • d)
    ₦18,000
Correct answer is option 'C'. Can you explain this answer?

The share of each partner is determined based on their investment and the time period. B's share is
(₦90,000 x 6 months) / [(₦60,000 x 4 months) + (₦90,000 x 6 months)] x ₦30,000
= ₦15,000.

A product is sold for ₦1,500 exclusive of VAT. If the VAT rate is 10%, what is the total amount a customer pays?
  • a)
    ₦1,550
  • b)
    ₦1,600
  • c)
    ₦1,650
  • d)
    ₦1,750
Correct answer is option 'C'. Can you explain this answer?

The VAT amount is calculated as a percentage of the selling price.
VAT = 10% of ₦1,500
= (10/100) * ₦1,500
= ₦150.
Therefore, the total amount a customer pays is
₦1,500 + ₦150
= ₦1,650.

If the price of an item increases by 10% due to VAT, what is the VAT rate applied?
  • a)
    5%
  • b)
    7.5%
  • c)
    10%
  • d)
    12.5%
Correct answer is option 'C'. Can you explain this answer?

The VAT rate applied is equal to the percentage increase in price due to VAT. Therefore, if the price of an item increases by 10%, the VAT rate applied is 10%.

A company's profit after tax is ₦500,000 and its tax rate is 20%. What is the company's profit before tax?
  • a)
    ₦100,000
  • b)
    ₦400,000
  • c)
    ₦600,000
  • d)
    ₦2,500,000
Correct answer is option 'C'. Can you explain this answer?

Let the profit before tax be P.
Tax = 20% of P
Profit after tax = P - Tax
₦500,000 = P - (0.20 × P)
₦500,000 = P - 0.20P
₦500,000 = 0.80P
P = ₦500,000 / 0.80
P = ₦625,000 (Profit before tax)

A company sells a product for ₦4,800 inclusive of 5% VAT. What is the selling price of the product without VAT?
  • a)
    ₦4,570
  • b)
    ₦4,600
  • c)
    ₦4,700
  • d)
    ₦4,800
Correct answer is option 'A'. Can you explain this answer?

Let the selling price without VAT be x.
The selling price with VAT is x + 5% of x.
Therefore, x + 0.05x = ₦4,800.
Solving this equation, we get
x = ₦4,570.

A company sold a product for ₦4,000 inclusive of 10% VAT. What is the selling price of the product without VAT?
  • a)
    ₦3,500
  • b)
    ₦3,600
  • c)
    ₦3,636
  • d)
    ₦3,750
Correct answer is option 'B'. Can you explain this answer?

Let the selling price without VAT be x.
The selling price with VAT is x + 10% of x.
Therefore, x + 0.1x = ₦4,000.
Solving this equation, we get
x = ₦3,600.

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