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Question 1: A person purchases a wrist-watch costing Rs. 540. The rate of sale Tax is 8%. Find the total amount paid by the person for the watch.

Sales price of the wrist watch $= Rs. 540$

Sales Tax $= 8\% \ of \ Rs. \ 540 = \frac{8}{100} \times 540 = Rs. \ 43.2$

Total amount to be paid   $= Rs. \ 540+ Rs. 43.2 = Rs. \ 583.20$

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Question 2: A person paid Rs.345.60 as Sales Tax on a purchase of Rs.3840. Find the rate of Sales Tax.

Sales price of the wrist watch $= Rs. 3840$

Sales Tax $= x\% \ of \ Rs. \ 3840 \Rightarrow \frac{x}{100} \times 3840 = 345.60 \Rightarrow x = 9\%$

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Question 3: The price of a washing machine, inclusive of Sales tax, is Rs.13530/-. If the Sales Tax is 10% find its basic cost price. [2003]

Let Sales Price of the washing machin be  $= Rs. x$

Total amount paid   $= Rs. \ 13530$

Sales Tax $= 10\% \ of \ Rs. \ x$

Therefore $x+10\% \ of \ Rs. \ x = 13530 \Rightarrow x = Rs. \ 12300$

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Question 4: A person purchases biscuits costing Rs.158 on which the rate of Sales Tax is 6%. That person also purchases some cosmetic good costing Rs.354 on which the rate of Sales Tax is 9%. Find the total amount to be paid by the person.

Sales price of the biscuit $= Rs. 158$

Sales Tax $= 6\% \ of \ Rs. \ 158 = \frac{6}{100} \times 158 = Rs. \ 9.48$

Sales price of the cosmetic good $= Rs. 354$

Sales Tax $= 9\% \ of \ Rs. \ 354 = \frac{9}{100} \times 354 = Rs. \ 31.86$

Total amount to be paid   $= Rs. \ (158+9.48)+ Rs. (354+31.86) = Rs. \ 553.34$

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Question 5: A person purchases some article costing Rs.5460. The shopkeeper charged Sales Tax at 8% As the person wanted to take the articles purchased outside the State, the shopkeeper charged 3% as Central Sales Tax on the actual price of the articles. Find the total mount the person had to pay for the articles.

Sales price of the article $= Rs. 5460$

Sales Tax $= (8+3)\% \ of \ Rs. \ 5460 = \frac{11}{100} \times 5460 = Rs. \ 600.60$

Total amount to be paid   $= Rs. \ 5460+ Rs. 600.60 = Rs. \ 6060.60$

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Question 6: The marked price of two articles A and B together is Rs.6000. The sale tax on article A is 8% and that on article B is 10%. If on selling both the articles, the total sales tax collected is Rs.552, find the marked price of each of the articles A and B.

Sales price of the article A $= Rs. x$

Sales price of the article B $= Rs. (6000-x)$

Sales Tax  on A $=8\% \ of \ Rs. \ x = \frac{8}{100} \times x$

Sales Tax  on B $=10\% \ of \ Rs. \ (6000-x) = \frac{10}{100} \times (6000-x)$

Total Sales Tax paid  $= Rs. \ 552$

$\Rightarrow \frac{11}{100} \times x + \frac{10}{100} \times (6000-x) = 552$

Sales price of the article A $= x = Rs. \ 2400$

Sales price of the article B $= (6000-x) = Rs. \ 3600$

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Question 7: A person buys a leather coat costing Rs.3600, the rate of sales Tax being 10%. She asks the shopkeeper to reduce the price of the coat to such an extent that she does not have to pay anything more than Rs.3366 including Sales Tax. Calculate:

1. The reduction needed in the cost price of the coat.
2. The reduction as percent.

Sales price of the Leather coat $= Rs. 3600$

Let discounted Sales price of the Leather cost $= Rs. x$

Sales Tax  on the coat $=10\% \ of \ Rs. \ x = 0.1 x$

Total amount paid $x+0.1x = 1.1x = 3366 \Rightarrow x = Rs. \ 3060$

Therefore the discount $= 3600-3060 = Rs. \ 540$

$\% \ reduction = \frac{540}{3600} \times 100 = 15\%$

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Question 8: The price of a T.V. set inclusive of Sales Tax of 9% is Rs.13407. Find its marked price. If Sales Tax is increased to 13%, how much more does the customer has to pay for the T.V. [2002]

Let Sales price of the T.V. $= Rs. x$

Sales Tax  on the T.V. $=9\% \ of \ Rs. \ x = 0.09 x$

Total amount paid $x+0.09x = 1.09x = 13407 \Rightarrow x = Rs. \ 12300$

If Sales Tax  on the T.V.  $=13 \% \ of \ Rs. \ 12300$

The customer will have to pay  $(13-9)\% \times 12300 = Rs. \ 492$  more.

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Question 9: The price of an article is Rs.8250 which includes Sales Tax at 10%. Find how much more or less does a customer pay for the article, if the Sales Tax on the article:

1. Increases to 15%
2. Decreases to 6%
3. Increases by 2%
4. Decreases by 3%

Total amount of the article $= Rs. 8250$

Let the Sales Price of the article $= Rs. x$

Sales Tax  on the article $=10\% \ of \ Rs. \ x = 0.1 x$

Therefore $x+0.1x = 8250 \Rightarrow x = Rs. \ 7500$

Sales Tax paid  on the article $=10\% \ of \ Rs. \ 7500 = Rs. \ 750$

If you Increases Sales Tax to 15%, then the person will have to pay $\frac{(15-10)}{100} \times 7500 = Rs. \ 375$ more.

If you Decrease Sales Tax to 6%, then the person will have to pay $\frac{4}{100} \times 7500 = Rs. \ 300$ less.

If Sales Tax increases by 2%, then the person will have to pay $\frac{2}{100} \times 7500 = Rs. \ 150$ more.

If Sales Tax decreases by 3%, then the person will have to pay $\frac{3}{100} \times 7500 = Rs. \ 225$ less.

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Question 10: A bicycle is available for Rs.1664 including Sales Tax. If the list price of the bicycle is Rs.1600, Find:

1. The rate of Sales Tax.
2. The price, a customer will pay for the bicycle if the Sales Tax is increased by 6%.

Total price of the bicycle $= Rs. 1664$

Sales Price of the bicycle $= Rs. 1600$

Sales tax paid $= (1664-1600) = Rs. \ 64$

Rate of Sales Tax \$latex = \frac{64}{1600} \times 100 = 4\% &s=1%

Sales Tax  on the bicycle $=10\% \ of \ Rs. \ 1600 = 1600$

Total amount paid $1600+160 = Rs. \ 1760$

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Question 11: When the rate of Sale-tax is decreased from 9% to 6% for a colored T.V. a person will save Rs.780 in buying this T.V. Find the list price of the T.V.

Let Sales Price of the T.V. $= Rs. x$

Saving on Sales Tax $= \frac{3}{100} \times x = 780 \Rightarrow x = Rs. \ 26000$

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Question 12: A shopkeeper sells an article for Rs.21384 including 10% sales-Tax. However, the actual rate of sales-tax is 8%. Find the extra profit made by the dealer.

Total amount of the article $= Rs. 21384$

Let Sales Price of the artice $= Rs. x$

Sales Tax  on the article $=10\% \ of \ Rs. \ x = 0.1 x$

Therefore $x+0.1x = 21384 \Rightarrow x = Rs. \ 19400$

But the acutal rate of sales tax should be 8%. That means the dealer is making 2% extra gain $= \frac{2}{100} \times 19400 = Rs. \ 388.80$

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