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Rd sharma solutions

CHAPTERS

6. Algebraic Expressions and Identities

8. Division of Algebraic Expressions

9. Linear Equation in One Variable

10. Direct and Inverse Variations

13. Profit Loss Discount and Value Added Tax

15. Understanding Shapes Polygons

16. Understanding Shapes Quadrilaterals

17. Understanding Shapes Special Types Quadrilaterals

20. Area of Trapezium and Polygon

21. Volume Surface Area Cuboid Cube

22. Surface Area and Volume of Right Circular Cylinder

23. Classification And Tabulation Of Data

24. Classification And Tabulation Of Data Graphical Representation Of Data As Histograms

25. Pictorial Representation Of Data As Pie Charts Or Circle Graphs

A shopkeeper marks his goods in such a way that after allowing a discount of25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P.to the M.P.

Given,Discount = 25%

Discount = (MP × Discount %)/100

= (MP×25)/100

= Rs 25MP/100

SP = MP - Discount

= (MP – 25MP/100)

= (100MP – 25MP)/100

= 75MP/100

We know that the given profit = 50%

Selling price = (100 + Gain %)/100 × CP

= (100 + 50)/100 × CP

= 150/100 × CP

= 150CP/100

By equating both SP we get,

75MP/100 = 150CP/100

75MP/150CP = 100/100

75MP/150CP = 1

(By cross multiplying)

CP/MP = 75/150

= 1/2

∴ The ratio CP to MP = 1:2

Algebraic Expressions and Identities

Division of Algebraic Expressions

Linear Equation in One Variable

Profit Loss Discount and Value Added Tax

Understanding Shapes Quadrilaterals

Understanding Shapes Special Types Quadrilaterals

Volume Surface Area Cuboid Cube

Surface Area and Volume of Right Circular Cylinder

Classification And Tabulation Of Data

Classification And Tabulation Of Data Graphical Representation Of Data As Histograms

Pictorial Representation Of Data As Pie Charts Or Circle Graphs

Given,Discount = 25%

Discount = (MP × Discount %)/100

= (MP×25)/100

= Rs 25MP/100

SP = MP - Discount

= (MP – 25MP/100)

= (100MP – 25MP)/100

= 75MP/100

We know that the given profit = 50%

Selling price = (100 + Gain %)/100 × CP

= (100 + 50)/100 × CP

= 150/100 × CP

= 150CP/100

By equating both SP we get,

75MP/100 = 150CP/100

75MP/150CP = 100/100

75MP/150CP = 1

(By cross multiplying)

CP/MP = 75/150

= 1/2

∴ The ratio CP to MP = 1:2

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