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Practice each question, then open the answer or worked solution.
Abida bought 100 pens at the rate of Rs 3.50 per pen and pays a sales tax of 4%. The total amount paid by Abida is ______.
Solution: Rs.364
Explanation: Number of pens = 100
Rate of per pen = Rs.3.50
Cost of 100 pens = 100 × 3.50 = 350
Sales tax on pen = 4%
Total amount paid = 350 × (4/100) + 350
= 350 × 1/25 + 350
= 14 + 350
= 364
The cost of a tape recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape recorder before the sales tax was charged is _____.
Solution: Rs.10000
Explanation: Cost of tape recorder = Rs.10800
Say, the cost before including the tax = x
Therefore,
x + x×(8/100) = 10800
(100x+8x)/100 = 10800
108x = 1080000
x = 10000
2500 is greater than 500 by ____.
Solution: 400%
Explanation: 2500 – 500 = 2000
Percentage increase in 500 to 2500 = (2000/500) × 100
= 2000/5 = 400
Four times a number is a ____ increase in the number.
Solution: 300%
Explanation: Let the number be x
Four times of number = 4x
4x is greater than x by = 4x – x = 3x
Percentage increase in x = 3x/x × 100 = 300%
5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is ____
Solution: Rs.199.50.
Explanation: marked price = Rs. 200
Discount = 5%
Selling price = 200 – (5/100) × 200
= 200-10
= 190
Selling price including 5% tax = 190+(5/100)×190
= 190 + 9.5
= Rs. 199.5
In questions 46 to 65, state whether the statements are true (T) or false (F).
To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of the amount in compound interest can be used.
Solution: True
Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax.
Solution: False
Discount is a reduction given on the cost price of an article.
Solution: False
Compound interest is the interest calculated on the previous year’s amount.
Solution: True
C.P. = M.P. – Discount.
Solution: False