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The Global Classroom carries the unique GEMS “Dynamic” materials and assessments of Dr Sunita Gandhi, Ph.D. Cambridge University, UK. These have been tested and tried in three countries, Iceland, India and the UK, and perfected with a three year trial with over 40,000 children in India participating.
 Covering Chapters
1.
Ratio and Proportion   
15.
Compound Interest With Formula      
2.
Circumference and Area of a Circle   
16.
Heights and Distances  
3.
Surface Area and Volume of Cylinder, Cone and Sphere   
17.
Sales-Tax
4.
Matrices
18.
Arc, Tangent and Chord Properties of  Circles
5.
Linear Inequations       
19.
Trigonometrical Identities  
6.
Quadratic Equations    
20.
Compound Interest Without Formula   
7.
Problems on Quadratic Equations
21.
Shares and Dividend    
8.
Relations and Functions
22.
Income-Tax     
9.
Remainder and Factor Theorems
23.
Reflection     
10.
Distance and Section Formulae
24.
Equation of a Straight Line
11.
Graphical Representation   
25.
Symmetry   
12.
Measures of Central Tendency
26.
Similarity
13. Construction of Circles
27.
Locus  
14. Banking  
28.
Cyclic Properties of Circles
 Questions
Questions 6
The annual income of Ms Sharma (excluding HRA) is Rs 1,68,000.  She contributes Rs 4,500 per month to her P.F. account and pays an annual insurance premium of Rs 8,000. Calculate the income tax including surcharge Ms Sharma has to pay in the last month of the year if her earlier deductions as income tax for the first 11 months were at the rate of Rs 600 per month.
Assume the following for calculating income tax. Standard deduction: 1/3rd of the total annual income subject to a maximum of Rs 20,000 Rates of income tax:
Slab

Income Tax

Up to Rs 50,000 No tax
From Rs 50,001 to Rs 60,000 10% of amount exceeding Rs 50,000
From Rs 60,001 to Rs 1,50,000 Rs 1000 + 20% of the amount exceeding Rs 60,000
From Rs 1,50,001 and above Rs 19,000 + 30% of the amount exceeding Rs1,50,000
Rebate in tax 20% of the total savings subject to maximum of Rs 12,000
Surcharge 10% of the total tax payable after rebate
Special Tax Rebate Women (below the age of 65 years) are allowed tax rebate at the rate of 100% of the income tax chargeable or Rs 5000, whichever is less.
Questions 5
A man invests Rs 13,500 partly in shares paying 6% at Rs 140 and partly in shares paying 5% at Rs 125. If his total income is Rs 560, how much has he invested in each?
 Solutions Tips and Guidelines
Solution :
Gross income =

Rs 1,68,000

S.D.   = Rs 20,000
Taxable income = Rs 1,68,000 - Rs 20,000
  = Rs 1,48,000
Income Tax  = Rs 1,000 + 20% of Rs 88,000
  = Rs 1,000 + Rs 17,600
  = Rs 18,600
Savings = P.F. = Rs 4,500 x 12 
  = Rs        54,000
    LIC = Rs  8,000
    Total = Rs 62,000
Rebate on saving   = 20% of Rs 62,000 = Rs 12,400
  = (subject to maximum of Rs 12,000)
Permissible rebate   = Rs12,000
Net income tax = Rs 18,600 – Rs 12,000
  = Rs 6,600
Surcharge = 10% of Rs 6,600
  = 10/100 x Rs 6,600
  = Rs 660
Net payable tax = Rs (6,600 + 660)
  = Rs 7,260
Rebate in tax, being a woman = Rs 5,000 Actual tax  = Rs 7,260 – Rs 5,000 = Rs 2,260
Tax deducted at source = Rs 600 ´ 11 = Rs 6,600
Refund = Rs 6,600 – 2,260 = Rs 4,340
Mrs Sharma will get refund = Rs 4,340
Formulae/Tips :

In order to compute the income tax of an individual, proceed as follows :

Calculate :

Gross annual income (income from salary,profession and other sources)

Deduct :

Standard deduction and other eligible donations from gross income as per given data to get taxable income.

Calculate :

Tax on taxable income as per given rate of taxation. Tax rebate on savings and eligible investments as per given data.

Deduct :

Tax rebate from total tax to get net income tax.

Calculate :

Surcharge, if any, at the given rate.

Add     :

Surcharge to net income tax to get income tax payable.

Deduct :

Total tax deducted at source, if any, from income tax payable to get the balance tax or refund.

The MAXIM Classbook
GEMS Dynamic Assessments
PerBooks Personalised TopicBooks
Sure Success Series
TargetPLUS On-Line Mocks
UK GCSE Mock Papers for Mathematics
GEMS “Dynamic” at a Glance
Philosophy Behind GEMS “Dynamic”
GEMS “Dynamic” Surveys and Perbooks
GEMS “Dynamic” Reports
GEMS “Dynamic” Training
GEMS “Dynamic” Lab School?
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