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ICSE Notes 2018 : Mathematics (Ryan International School ICSE (RIS), Malad, Mumbai)

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Exercise 1 (A) Example: 1 Given: Base Price = 540 Rate of Sales Tax = 8% Price (Inclusive of Sales Tax) = Base Price x Price (Inclusive of Sales Tax) = 540 x 100 + 100 100 + 8 100 Price (Inclusive of Sales Tax) = 583.20 Example: 2 Given: Amount of Sales Tax = 345.60 Base Price = 3840 Amount of Sales Tax = Base Price x 345.60 = 3840 x 345.60 100 3840 100 100 = Rate of Sales Tax Rate of Sales Tax = 9% Example: 3 Given: Price (Inclusive of Sales Tax) = 13530 Rate of Sales Tax = 10% Price (Inclusive of Sales Tax) = Base Price x 13530 = Base Price x 13530 100 110 100 + 100 100 + 10 100 = Base Price Base Price = 12300 Example: 4 Given: Base Price (Biscuit) = 158 Rate of Sales Tax (Biscuit) = 6% Base Price (Cosmetic) = 354 Rate of Sales Tax (Cosmetic) = 9% Price (Inclusive of Sales Tax - Biscuit) = Base Price (Biscuit) x Price (Inclusive of Sales Tax - Biscuit) = 158 x 100 + ( ) 100 100 + 6 100 Price (Inclusive of Sales Tax - Biscuit) = 167.48 Price (Inclusive of Sales Tax - Cosmetic) = Base Price (Cosmetic) x Price (Inclusive of Sales Tax - Cosmetic) = 354 x 100 + ( ) 100 100 + 9 100 Price (Inclusive of Sales Tax - Cosmetic) = 385.86 Total Amount Paid = Price (Inclusive of Sales Tax - Biscuit) + Price (Inclusive of Sales Tax - Cosmetic) = 167.48 + 385.86 = 553.34 Total Amount Paid = 553.34 Example: 5 Given: Total Marked Price (A & B) = 6000 Rate of Sales Tax (A) = 8% Rate of Sales Tax (B) = 10% Total Amount of Sales Tax (A & B) = 552 Let the Marked Price of A be p Marked Price of B will be 6000 p Total Amount of Sales Tax (A & B) = Amount of Sales Tax (A) + Amount of Sales Tax (B) = Marked Price (A) x 552 = p x 8 100 ( ) + (6000-p) x 100 + Marked Price (B) x ( ) 100 10 100 p = 2400 Marked Price of A be 2400 and Marked Price of B will be 3600 Example: 6 Given: Price (Inclusive of Sales Tax) = 13407 Rate of Sales Tax = 9% Rate of New Sales Tax = 13% Price (Inclusive of Sales Tax) = Marked Price x 13407 = Marked Price x 100 + 9 Marked Price = 13407 x 100 100 + 100 100 109 Marked Price = 12300 Additional Amount Paid = Marked Price x Additional Amount Paid = 12300 x Rate of New Sales Tax Rate of Sales Tax 100 13 9 100 Additional Amount Paid = 492 Example: 7 Given: Price (Inclusive of Sales Tax) = 8250 Rate of Sales Tax = 10% Price (Inclusive of Sales Tax) = Marked Price x 8250 = Marked Price x 100 + 10 Marked Price = 8250 x 100 100 + 100 100 110 Marked Price = 7500 (i) Rate of Sales Tax = 10% Rate of New Sales Tax = 15% Additional Amount to be Paid = Marked Price x Additional Amount to be Paid = 7500 x Rate of New Sales Tax Rate of Sales Tax 100 15 10 100 Additional Amount to be Paid = 375 (ii) Rate of Sales Tax = 10% Rate of New Sales Tax = 6% Reduction in Amount to be Paid = Marked Price x Reduction in Amount to be Paid = 7500 x Reduction in Amount to be Paid = 300 (iii) Increase in Sales Tax = 2% 10 6 100 Rate of Sales Tax Rate of New Sales Tax 100 Additional Amount to be Paid = Marked Price x Additional Amount to be Paid = 7500 x Increase in Sales Tax 100 2 100 Additional Amount to be Paid = 150 (iv) Decrease in Sales Tax = 3% Reduction in Amount to be Paid = Marked Price x Reduction in Amount to be Paid = 7500 x Decrease in Sales Tax 100 3 100 Reduction in Amount to be Paid = 225 Example: 8 Given: Price (Inclusive of Sales Tax) = 1664 List Price = 1600 (i) Price (Inclusive of Sales Tax) = List Price x 1664 = 1600 x 100 + 100 100 + 100 Rate of Sales Tax = 4% (ii) If Sales Tax is increased by 6%, it will be 10% Price (Inclusive of Sales Tax) = List Price x Price (Inclusive of Sales Tax) = 1600 x 100 + 100 + 10 100 Price (Inclusive of Sales Tax) = 1760 Example: 9 Given: Savings in Amount to be Paid = 780 Original Rate of Sales Tax = 9% New Rate of Sales Tax = 6% Savings in Amount to be Paid = List Price x 780 = List Price x 9 6 100 List Price = 26000 Decrease in Sales Tax 100 100 Example: 10 Given: Purchase Price = 1800 Overhead Expenses = 600 Cost Price = 1800 + 600 = 2400 Target Profit% = 10% Sales Tax = 12% Base Price = Cost Price x Base Price = 2400 x 100 + % 100 100 + 20 100 Base Price = 2880 Price (Inclusive of Sales Tax) = Base Price x Price (Inclusive of Sales Tax) = 2880 x 100 + 100 100 + 12 100 Price (Inclusive of Sales Tax) = 3225.60 Example: 11 Given: Purchase Price = 800 Overhead Expenses = 100 Cost Price = 800 + 100 = 900 Price (Inclusive of Sales Tax) = 1287 Rate of Sales Tax = 10% Price (Inclusive of Sales Tax) = Base Price x 100 + Price (Inclusive of Sales Tax) = Cost Price x 1287 = 900 x 100 + % Profit% = 1287 x 100 100 110 x 100 900 x 100 100 + % 100 100 + 10 100 100 Profit% = 30% Example: 12 Given: Discount = 15% Marked Price = 6000 Rate of Sales Tax = 10% x 100 + 100 Discounted Base Price = Marked Price x Discounted Base Price = 6000 x 100 100 100 15 100 Discounted Base Price = 5100 Price (Inclusive of Sales Tax) = Base Price x Price (Inclusive of Sales Tax) = 5100 x 100 + 100 100 + 10 100 Price (Inclusive of Sales Tax) = 5610 Example: 13 Given: Catalogue Price = 24000 Discount = 8% Off Season Discount = 5% Rate of Sales Tax = 10% Discounted Base Price = Catalogue Price x Discounted Base Price = 24000 x 100 8 100 100 100 x x 100 100 5 100 Discounted Base Price = 20976 (i) Amount of Sales Tax = Base Price x Amount of Sales Tax = 20976 x 100 10 100 Amount of Sales Tax = 2097.60 (ii) Price (Inclusive of Sales Tax) = Base Price + Amount of Sales Tax Price (Inclusive of Sales Tax) = 20976 + 2097.60 Price (Inclusive of Sales Tax) = 23073.60 100

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