#### 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

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.

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 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 wholesaler buys a TV from the manufacturer for Rs. 25,000. He marks the price of TV 20% above his cost price and sells it to a retailer at a 10% discount on the market price. If the rate of the VAT is 8%, find the :

1) Market price

2) Retailer’s cost price inclusive of tax.

3) VAT paid by the wholesaler.

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

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A shopkeeper purchases an article for Rs 6,200 and sells it to a customer for Rs 8,500. 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.

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.

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.

A shopkeeper sells an article at the listed price of Rs. 1500 and the rate of the VAT is 12% at each stage of the sale. If the shopkeeper pays a VAT of Rs. 36 to the Government, what was the price, inclusive to TAX, at which the shopkeeper purchased the article from the wholesaler?

A shopkeeper bought a washing machine at a discount of 20% from a wholesaler, the printed price of the washing machine being Rs. 18,000. The shopkeeper sells it to a consumer at a discount of 10% on the printed price. If the rate of sales tax is 8%, find:

1) the VAT paid by the shopkeeper.

2) the total amount that the consumer pays for the washing machine

Mohit, a dealer in electronic goods, buys a high-class TV set for Rs 61,200. He sells this TV set to Geeta, Geeta to Rohan and Rohan sells it to Manoj. If the profit at each stage is Rs 2,000 and the rate of VAT at each stage is 12.5%, find:

1) total amount of tax (under VAT) paid to the Government.

2) Money paid by Manoj to buy the TV set.

A shopkeeper buys an article at a discount of 30% of the list price which is Rs 48,000. In turn, the shopkeeper sells the article at 10% discount. If the rate of the VAT is 10%, find the VAT to be paid by the shopkeeper.

A company sells an article to a dealer for 40,500 including VAT (sales-tax). The dealer sells it to some other dealer for 42,500 plus tax. The second dealer sells it to a customer at a profit of 3,000. If the rate of sales-tax under VAT is 8%, find :

1) The cost of the article (excluding tax) to the first dealer.

2) The total tax (under VAT) received by the Government.

3) The amount that a customer pays for the article.

A wholesaler buys a TV from the manufacturer for Rs 25,000. He marks the price of the TV 20% above his cost price and sells it to a retailer at 10% discount on the marked price. If the rate of the VAT is 8%, find the

1) Marked price.

2) Retailer's cost price inclusive of tax

3) VAT paid by the wholesaler.