#### Chapters

Chapter 2 - Banking (Recurring Deposit Account)

Chapter 3 - Shares and Dividend

Chapter 4 - Linear Inequations (In one variable)

Chapter 5 - Quadratic Equations

Chapter 6 - Solving (simple) Problems (Based on Quadratic Equations)

Chapter 7 - Ratio and Proportion (Including Properties and Uses)

Chapter 8 - Remainder and Factor Theorems

Chapter 9 - Matrices

Chapter 10 - Arithmetic Progression

Chapter 11 - Geometric Progression

Chapter 12 - Reflection

Chapter 13 - Section and Mid-Point Formula

Chapter 14 - Equation of a Line

Chapter 15 - Similarity (With Applications to Maps and Models)

Chapter 16 - Loci (Locus and Its Constructions)

Chapter 17 - Circles

Chapter 18 - Tangents and Intersecting Chords

Chapter 19 - Constructions (Circles)

Chapter 20 - Cylinder, Cone and Sphere

Chapter 21 - Trigonometrical Identities

Chapter 22 - Height and Distances

Chapter 23 - Graphical Representation

Chapter 24 - Measure of Central Tendency(Mean, Median, Quartiles and Mode)

Chapter 25 - Probability

## Chapter 1 - Value Added Tax

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Rajat purchases a wrist-watch costing Rs 540. The rate of sales tax is 8%. Find the total amount paid by Rajat for the watch.

Ramesh paid Rs 345.60 as sales tax on a purchase of Rs 3,840. Find the rate of sales tax.

The price of a washing machine, inclusive of sales tax is Rs 13,530/-. If the sales tax is 10%, find its basic cost price.

Sarita purchases biscuits costing Rs 158 on which the rate of sales tax is 6%. She also purchases some cosmetic goods costing Rs 354 on which the rate of sales tax is 9%. Find the total amount to be paid by Sarita

Hamid purchased some articles costing Rs. 5460. The shopkeeper charged sales tax at 8%. As hamid 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 amount Hamid Had to pay for the articles.

The marked price of two articles A and B together is Rs 6,000. The sales 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 collected of the articles A and B.

Tanya buys a leather coat costing Rs. 3,600, 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. 3,366 including sales tax. Calculate:

(i) The reduction needed in the cost price of the coat.

(ii) the reduction as percent.

The price of a T.V. set inclusive of sales tax of 9% is Rs 13,407. Find its marked price. If sales tax is increased to 13%, how much more does the customer has to pay for the T.V.?

The price of an article is Rs 8,250 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:

(i) increases to 15%

(ii) decreases to 6%

(iii) increases by 2%

(iv) decreases by 3%

A bicycle is available for Rs 1,664 including sales tax. If the list price of the bicycle is Rs 1,600, 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%.

When the rate of sale-tax is decreased from 9% to 6% for a coloured T.V.; Mrs. Geeta will save Rs 780 in buying this T.V. Find the list price of the T.V.

A shopkeeper sells an article for Rs. 21,384 including 10% sales tax. However, the actual rate of sales tax is 8%. Find the extra profit made by the dealer.

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A trader buys an unfinished article for Rs 1,800 and spends Rs 600 on its finishing, packing, 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.

A shopkeeper 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 1,287 including 10% sales tax. Find his profit as per cent.

A shopkeeper announces a discount of 15% on his goods. If the market price of an article, in his shop, is Rs 6,000; how much a customer has to pay for it if the rate of sales tax is 10%?

The catalogue price of a colour T.V. is Rs 24,000. 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

A shopkeeper marks his goods 40% above the cost price and then allows discount of 20% find how much will a customer pay for an article which costs the shopkeeper Rs. 200 and a sales tax of 10% is levied on the sale price of the article. (Give your answer correct to the nearest rupee).

A toy is purchased for Rs. 591.36 which includes 12% rebate on the printed price and 12% sales tax on the sale price of the toy find the printed price of the toy.

The catalogue price of an article is Rs. 20,000. The dealer allows two successive discounts 15% and 10%. If sales tax at the rate of 10% is charged on the remaining amount. Find:

(i) the sales tax amount a customer has to pay.

(ii) the final total price that customer has to pay for the article.

A trader buys an article for Rs. 1,700 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. 2,688 including sales tax on the new marked price. Find:

(i) the rate of sales tax

(ii) the trader’s profit as per cent

A shopkeeper 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. 4,160 (Including sales tax at the rate of 4% of the marked price), find the shopkeeper’s profit as per cent.

A shopkeeper buy an article for Rs. 2,400 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. 3,498 including sales tax on the marked up price.

Find: (i) the rate of sales tax

(ii) the shopkeeper’s profit as per cent.

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A shopkeeper purchases an article for Rs. 6,200 and sells it to a customer for Rs. 8500. If the sales tax (under VAT) is 8%; find the VAT paid by the shopkeeper.

A purchases an article for Rs 3,600 and sells it to B for Rs 4,800. B, in turn, sells the article to C for Rs 5,500. If the sales tax(under VAT) is 10%, find the VAT levied on A and B.

A manufacturer buys raw material for rs 60,000 and pays 4% tax. He sells the ready stock for Rs 92,000 and charges 12.5% tax. Find the VAT paid by the manufacturer.

The cost of an article is ₹ 6,000 to a distributor. He sells it to a trader for ₹ 7,500 and the trader sells it to a customer for ₹ 8,000. If the VAT rate is 12.5%; find the VAT paid by the :

1) distributor

2) trader

The printed price of an article is Rs 2,500. A wholesaler sells it to a retailer at 20% discount and charges sales tax at the rate of 10%. Now the retailer, in turn, sells the article to a customer at its list price and charges the sales tax at the same rate. Find

1) the amount that retailer pays to the wholesaler.

2) the VAT paid by the retailer.

A retailer buys an article for Rs 800 and pays the sales tax at the rate of 8%. The retailer sells the same article to a customer for Rs 1,000 and charges sales tax at the same rate. Find:

1) the price paid by a customer to buy this article.

2) the amount of VAT paid by the retailer.

A shopkeeper buys 15 identical articles for Rs 840 and pays sales tax at the rate of 8%. He sells 6 of these articles at Rs 65 each and charges sales tax at the same rate. Calculate the VAT paid by the shopkeeper against the sale of these six articles.

The marked price of an article is Rs 900 and the rate of sales tax on it is 6%. If on selling the article at its marked price, a retailer has to pay VAT = Rs 4.80; find the money paid by him (including sales tax) for purchasing this article.

A manufacturer marks an article for Rs. 5000. He sells it to a wholesaler at a discount of 25% on the marked price and the wholesaler sells it to a retailer at a discount of 15% on the marked price. The retailer sells it to a consumer at the marked price and at each stage, the VAT is 8%. Calculate the amount of VAT received by the government from:

(1) the wholesaler,

(2) the retailer.

A shopkeeper buys an article at a discount of 30% and pays sales tax at the rate of 8%. The shopkeeper, in turn, sells the article to a customer at the printed price and charges sales tax at the same rate. If the printed price of the article is ₹ 2,500; find :

(1) the price paid by the shopkeeper.

(2) the price paid by the customer.

(3) the VAT (value added tax) paid by the shopkeeper.

A shopkeeper sells an article at its list price (Rs 3,000) and charges sales tax at the rate of 12%. If the VAT paid by the shopkeeper is Rs 72, at what price did the shopkeeper buy the article inclusive of sales tax?

A manufacturer marks an article for Rs 10,000. He sells it to a wholesaler at 40% discount. The wholesaler sells this article to a retailer at a discount of 20% on the marked price. If the retailer sells the article to a customer at 10% discount and the rate of sales tax is 12% at each stage; find the amount of VAT paid by the (i) wholesaler (ii) retailer.

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Madan purchases a compact computer system for Rs 47,700 which includes 10% rebate on the marked price and then a 6% sales tax on the remaining price. Find the marked price of the computer.

A wholesaler sells an article for Rs. 2,700 at a discount of 10% on the printed price to a retailer. The retailer, in turn, raises the printed price of the article by 15% and sells it for Rs. 3,657 which includes sales tax on the new marked price. Find:

(i) the rate of sales tax.

(ii) the profit, as percent, made by the retailer.

A shopkeeper buys an article at 70% of its printed price. He spends Rs. 40 on transportation of the article. After charging sales tax at the rate of 10% on the printed price, he sells the article for Rs. 7,040. Find his profit as per cent to the nearest integer.

Mrs. Sheela bought a washing machine marked at Rs. 9,375. The rate of sales tax is 6%. She asks the shopkeeper to reduce the price of the washing machine to such an extent that she has to pay Rs. 9,275 inclusive of sales tax. Find the reduction needed in the price of the washing machine.

The catalogue price of a colour T.V. is Rs. 18,000. The shopkeeper sells it to a customer at a discount of 20% on the catalogue price. He gives a further off season discount of 10% on the balance. But sales tax at 10% is charges on the remaining amount find:

(i) the sales tax amount, the customer has to pay.

(ii) the final price he has to pay for the colour T.V.

A shopkeeper buys an article for Rs. 7,500 and increases its price. He sells this article for Rs. 9,156 including 9% sales tax on the increased price. Calculate by how much per cent the shopkeeper increases the price of the article.

An article is marked at Rs 500. The wholesaler sells it to a retailer at 20% discount and charges sales tax on the remaining price at 12.5%. The retailer, in turn, sells the article to a customer at its marked price and charges sales tax at the same rate. Calculate:

1) The price paid by the customer.

2) The VAT paid by the retailer.

An article is marked at Rs 4,500 and the rate of sales tax on it is 6%. A trader buys this article at some discount and sells it to a customer at the marked price. If the trader pays Rs 81 as VAT; find:

How much per cent discount does the trader get?

The total money paid by the trader, including tax, to buy the article.

A retailer sells an article for Rs 5,350 including 7% sales tax on the listed price. If he bought it at a discount and has made a profit of 25% on the whole, find the rate of discount the retailer received.

The printed price of an article is Rs. 9,600. A shopkeeper buys it at a discount of 20% ans sells it at the printed price. Find the amount of VAT paid by the shopkeeper, if the rate of sales Tax is 10%.

Also, find the profit made by the shopkeeper, if he spends Rs. 120 on the transportation of the article.

A shopkeeper buys a camera at a discount of 20% from the wholesaler, the printed price of the camera being Rs 1,600 and the rate of sales tax being 6%. The shopkeeper sells it to a buyer at the printed price and charges tax at the same rate. Find:

The price at which the camera can be bought from the shopkeeper.

The VAT (Value Added Tax) paid by the shopkeeper.

Tarun bought an article for ₹ 8,000 and spent Rs 1,000 on its transportation. He marked the article at Rs 11,700 and sold it to a customer. If the customer had to pay 10% sales tax, find:

1) The customer’s price

2) Tarun’s profit per cent.