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Amee
St. Xavier’s College, Mumbai
11-2th Arts
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LILAVATIBAI LILAVATIBAI PODAR HIGH SCHOOL ISC STD X / SA2 / MATHS/2014-2015 WORKSHEET 2 STD X SALES TAX AND VAT, SHARES D , RATIO AND PROPORTION 1. A steel almirah is quoted at Rs.1100/-. sales tax at the rate of 7% is charged extra. Find the amount the buyer has to pay for the almirah. 2. A man bought a shirt for Rs. 374.50/- which includes 7% sales tax. Find the list price of the shirt. 3. Shruti bought a set of cosmetic items for Rs. 345/- including 15% sales tax and a purse for Rs. 110/- including 10% sales tax. What percent is the sales tax charged on the whole transaction? 4. A person gets electrical goods worth Rs. 7500/-. He gets a rebate of 5% on the bill. If the sales tax at the rate of 5% is charged, find the amount he will have to pay for the bill. 5. A shopkeeper buys an article for Rs. 800/- from a wholesaler at a discount of 20% on the listed price. He marks up the listed price by 10% and sells it at Rs. 1,166/- which includes a sales tax on the marked-up price. Find (i) The rate of sales tax. (ii) The profit percentage for the shopkeeper. 6. A manufactures table fans, at a cost Rs. 700/-. He sells them to B, B sells to C, and C sells them to D. The tax rate is 10%. Find the total amount of VAT and also the selling price of the fans charged by D, assuming that the profit is Rs. 50/- at each stage of the selling chain. 7. A shopkeeper buys a camera at a discount of 20% from a wholesaler, the printed price of the camera being Rs. 12,000/- and the rate of sales tax 7%. The shopkeeper sells it to the buyer at the printed price and charges tax at the same rate. Find (i) The price at which the camera can be bought by a customer. (ii) The amount of VAT paid by the shopkeeper. 1 STD X / SA2 / MATHS/2014-2015 WORKSHEET 2 8. A manufacturer sells a T.V set to a wholesaler for Rs. 24,000/-. The wholesaler sells it to a trader at a profit of Rs. 1,000/- ; and the trader; in turn sells it to a customer at a profit of Rs. 2,500. If the rate of VAT is 12.5% find: (i) The amount of VAT received by the government on the sale of this TV set from the manufacturer and the wholesaler. (ii) The amount that the customer pays for the TV set. 9. A manufacturer marks an articles for Rs. 5,000/-. 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 customer at the marked price and at each stage the VAT 8%. Calculate the amount of VAT received by the government from; (i) The wholesaler (ii) the retailer. 10. A shopkeeper bought a TV at a discount of 30% of the listed price of Rs.24,000/-. The shopkeeper offers a discount of 10% on the listed price to this customer. If the VAT is 10%, find:, (i) The amount paid by the customer. (ii) The VAT to be paid by the shopkeeper. 11. Mr. Ray invested Rs. 8000/- in 7% Rs 100 shares at Rs. 80/-. After one year, he sold these shares at Rs. 75 each and invested the proceeds in 18% Rs. 25/- share at Rs 41/- . Find: (i) His gain or loss after one year. (ii) His annual income from the second investment (iii) The percentage of increase in return on his original invesmnet. 12. A man sold some 100 shares, paying 10% dividend, at a discount of 25% and invests the proceeds in 100 shares, paying 10% dividend quoted at Rs. 80. Thus, his income was increased by Rs. 1600/-. Find the number of shares originally held by him. 13. Mohan Lal invested Rs. 29,040/- in 15%, Rs. 100/- shares of a company quoted at a premium of 20% calculate; (i) The number of shares bought by Mohan Lal (ii) His annual income from shares. (iii) The percentage return on his investment. 14. A man invests Rs. 8800 on buying shares of face value Rs. 100/- each at a premium of 10% if he earns Rs.1200 at the end of the year as dividend, find; (i) The number of shares he has in the company. (ii) The dividend percentage per share. 2 STD X / SA2 / MATHS/2014-2015 WORKSHEET 2 15. A company with 10,000 shares of Rs 100/- each , declares an annual dividend of 12%. Calculate ; (i) The total amount of dividend paid by the company. (ii) The annual income of a man holding 85 shares in the company. (iii) The market price of each share, when the rate of return is 10%. 16. What number must be added to each term of the ratio 3:5 to make it 11:12? 17. In an examination, the ratio of passes to failures was 4:1. Had 30 less appeared and 20 less passed, the ratio of passes to failures would have been 5:1. How many students appeared for the examination? 18. Find two numbers whose mean proportional is 28 and the third proportional is 224. 19. If 20. Solve; = , prove that = =5 3
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