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Bombay Scottish School (Mahim) DATE : 09/01/2020 ; TIME : 2 HRS ; MARKS : 80 SECTION A (40 MARKS) Attempt all questions from this section Question 1 : [ 3 + 3 + 4 = 10 ] 1) Solve the following inequation and represent the solution set on the number line. 2 + 10 x 13 x + 10 < 24 + 10 x , x W 2) A wholesaler in Kanpur (U.P) marks an air conditioner for 50,000. He sells it to a shopkeeper in Banaras (U.P) at a discount of 10%. The shopkeeper sells it to a customer in Banaras at marked price. If the rate of GST is 18% , calculate the following : i) The shares of GST for both the state and the central government paid by the shopkeeper. ii) The amount paid by the customer for the air conditioner. 3) Rohit invested 10,800 on 100 shares at 20 premium paying 8% dividend. Rohit sold the shares when the price rose to 150. He invested the proceeds (excluding dividend) in 10% , 40 shares at 30. Find : a) Original number of shares b) Sale proceeds c) Change in his annual income from dividend. Question 2 : [ 3 + 3 + 4 = 10 ] 1) Solve for x the quadratic equation 2 x 2 + 5 x 4 = 0. Give your answer correct to 3 significant figures. 2) Find two numbers such that the mean proportional between them is 16 and the third proportional to them is 128. TEL : 9819019521 Page | 1
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