Question 1: A person buys an unfinished article for Rs.1800 and spends Rs.600 on its finishing, pacing, transportation, etc. He marks the article at such a price that will give him 20% profit. How much will a customer pay for the article including 12% Sales Tax.

Price paid for the unfinished article $= Rs. \ 1800$

Overheads   $= Rs. \ 600$

Therefore Cost of the article $= Rs. \ 1800 + Rs. \ 600 = Rs. \ 2400$

Desired profit   $= 20\%$

Sale Price   $= (\frac{100+20}{100}) \ of \ Rs. \ 2400 = (\frac{100+20}{100}) \times 2400 = Rs. \ 2880$

Therefore Money paid by the customer = Sale Price  of the article+Sales Tax on the article

$= Rs. \ 2880 + \frac{12}{100} \times 2880 = Rs. \ 3225.60$

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Question 2: A person buys an article for Rs.800 and spends Rs.100 on its transportation, etc. He marks the article at a certain price and then sells it for Rs.1287 including 10% Sales Tax. Find this profit as per cent.

Price paid for the article $= Rs. \ 800$

Overheads   $= Rs. \ 100$

Therefore Cost of the article $= Rs. \ 800 + Rs. \ 100 = Rs. \ 900$

Let the Sale Prices $= x$

Sales Tax on the article $= \frac{10}{100} \times x = 0.1x$

Cost to the customer $= x + 0.1x = 1.1x = 1287 \Rightarrow x = Rs.\ 1170$

Therefore Profit $= 1170-900 = Rs. \ 270$

Therefore profit % $= \frac{270}{900} \times 100 = 30\%$

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Question 3: A person announces a discount of 15% on his goods. If the marked price of an article, in his shop, is Rs.6000; How much a customer has to pay for it, if the rate of Sales Tax is 10%

Marker Price $= Rs. \ 6000$

Discount $= 15\%$ of the marked price

Discounted Price $= \frac{100-15}{100} \times 6000 = Rs. \ 5100$

Sales Tax $= \frac{10}{100} \times 5100 = Rs. \ 510$

Price paid by the customer $= 5100 + 510 = Rs. \ 5610$

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Question 4: The catalog price of a colored T.V. is Rs.24000. The shopkeeper gives a discount of 8% on the list price. He gives a further off season discount of 5% on the balance, But Sales Tax at 10% is charged on the remaining amount. Find:

1. The sales Tax a customer has to pay.
2. The final price he has to pay for the T.V. [2001]

Catalog price of a colored T.V. $= Rs. \ 24000$

Price after 8% discount $= \frac{100-8}{100} \times 24000 = 22080$

Price after 5% off season discount $= \frac{100-5}{100} \times 22080 = Rs. \ 20976$

Sales Tax $= \frac{10}{100} \times 20976 = Rs. \ 2097.60$

Price paid by the customer $= Rs. \ 20976 + Rs. \ 2097.60 = Rs. \ 23073.60$

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Question 5: A person marks his goods 40% above the cost price and then allows discount of 20%. Find how much will be a customer pay for an article which costs the person Rs.200 and a Sales Tax of 10% is levied on the sales price of the article.

The cost price $= Rs. \ 200$

Mark Price of goods  $= 200+0.4 \times 200= Rs. \ 280$

Discount given  $=20\%$

Discounted Price  $= \frac{100-20}{100} \times 280 = Rs. 224$

Amount paid by the customer  $224 + \frac{10}{100} \times 224 = Rs. \ 246.40$

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Question 6: A toy is purchased for Rs.591.36 which includes 12% rebate on the printed price and 12% Sales Tax on the sales price of the toy. Find the printed price of the toy.

Let the printed Sale Prices $= x$

After discount the Sale Price $= \frac{100-12}{100} \times x = 0.88x$

Price paid by the customer $= 0.88x+ \frac{12}{100} \times 0.88x = 0.9856x = 591.36 \Rightarrow x = Rs. \ 600.27$

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Question 7: The catalog price on an article is Rs.20,000. The person allows two successive discounts 15% and 10%. If Sales Tax at the rate of 10% is charged on the remaining amount. Find:

1. The sales Tax amount a customer has to pay.
2. The final total price that customer has to pay for the article.

Catalog price of a article $= Rs. \ 20000$

Price after 8% discount $= \frac{100-15}{100} \times 20000 = 17000$

Price after 5%  discount $= \frac{100-10}{100} \times 17000 = Rs. \ 15300$

Sales Tax $= \frac{10}{100} \times 15300 = Rs. \ 1530$

Price paid by the customer $= Rs. \ 15300 + Rs. \ 1530 = Rs. \ 16830$

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Question 8: A person buys an article of Rs.1700 at a discount of 15% on its printed price. He raises the printed price of the article by 20% and then sells it for Rs.2688 including sales tax on the new marked price. Find:

1. The rate of sales tax
2. The trader’s profit as per cent.

Let the printed price $= Rs. \ x$

Price the trader paid $= \frac{100-15}{100} \times x = 0.85x$

Given $0.85x = 1700 \Rightarrow x= Rs. \ 2000$

New Printed Prices $= \frac{100+20}{100} \times 2000 = Rs. \ 2400$

Let the sales tax % $= x$

Final Selling prices $2688 = 2400 (1+\frac{x}{100}) \Rightarrow x = 12\%$

Profit $= 2400-1700 = Rs. \ 700$

Profit % $= \frac{700}{1700} \times 100 = 41\frac{3}{17}\%$

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Question 9: A person buys an article at a rebate of 20% on its marked price and then spends Rs.300  on its transportation, etc. If he sells the article for Rs.4160 (including sales tax at the rate of 4% of the marked price), find the person’s profit as per cent.

Let the printed price $= Rs. \ x$

Price the trader paid $= \frac{100-20}{100} \times x = 0.80x$

Overheads $= Rs. \ 300$

Sales Tax $= \frac{4}{100} \times x = 0.04x$

Total Price paid by the customer $= 4160$

Therefore $4160 = x+0.04x \Rightarrow x = Rs. \ 4000$

Total cost paid by the shopkeeper $= 0.8 \times 4000+ 300 = Rs. \ 3500$

Profit % $= \frac{4160-3500}{3500} \times 100 = 14\frac{2}{7}\%$

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Question 10: A person buys an article for Rs.2400 from a wholesaler at 20% rebate on its list price. He marks up the list price of the article bought by 10% and then sells it for Rs.3498 including sales Tax on the marked-up price. Find:

1. The rate of sales tax
2. The person’s profit as per cent.

Let the printed price $= Rs. \ x$

Price the trader paid $= \frac{100-20}{100} \times x = 0.80x$

Given $0.80x = 2400 \Rightarrow x= Rs. \ 3000$

New Printed Prices $= \frac{100+10}{100} \times 3000 = Rs. \ 3300$

Let the sales tax % $= x$

Final Selling prices $3498 = 3300 (1+\frac{x}{100}) \Rightarrow x = 6\%$

Profit $= 3300-2400 = Rs. \ 300$

Profit % $= \frac{900}{2400} \times 100 = 37.5\%$

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