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Ex 8.2, 1 - A man got a 10% increase in his salary. If his new salary

Ex 8.2, 1 - Chapter 8 Class 8 Comparing Quantities - Part 2
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Ex 8.2, 1 - Chapter 8 Class 8 Comparing Quantities - Part 4 Ex 8.2, 1 - Chapter 8 Class 8 Comparing Quantities - Part 5

 

 

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Question 1 (Method 1) A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary. Given, Increase Percentage = 10% New salary = 154000 Let the original salary be x Now, New salary = Original salary + Increase in salary 154000 = x + Increase in salary 154000 βˆ’ x = Increase in salary Increase in salary = 154000 βˆ’ x Now, Percentage increase = (πΌπ‘›π‘π‘Ÿπ‘’π‘Žπ‘ π‘’ 𝑖𝑛 π‘ π‘Žπ‘™π‘Žπ‘Ÿπ‘¦)/(π‘‚π‘Ÿπ‘–π‘”π‘–π‘›π‘Žπ‘™ π‘ π‘Žπ‘™π‘Žπ‘Ÿπ‘¦) Γ— 100 10 = (154000 βˆ’ π‘₯)/π‘₯ Γ— 100 10x = (154000 βˆ’ π‘₯) Γ— 100 10π‘₯/100 = 154000 βˆ’ π‘₯ π‘₯/10 = 154000 π‘₯/10 + π‘₯ = 154000 π‘₯ (1/10+1) = 154000 π‘₯ ((1 + 10)/10) = 154000 π‘₯(11/10) = 154000 π‘₯ = (154000 Γ— 10)/11 ∴ π‘₯ = 140000 ∴ Original salary is Rs 1,40,000 Question 1 (Method 2) A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.Let the original Salary be x Now, New salary = Original salary + increase in salary 154000 = π‘₯ + increase in salary 154000 βˆ’ π‘₯ = increase in salary ∴ Increase in salary = 154000 βˆ’ π‘₯ Now, Increase in salary = Percentage increase Γ— Old Salary 154000 βˆ’ π‘₯ = 10% Γ— π‘₯ 154000 βˆ’ π‘₯ = 10/100 Γ— π‘₯ 154000 βˆ’ π‘₯ = 1/10 π‘₯ 154000 = 1/10 π‘₯ + π‘₯ 154000 = π‘₯ (1/10+1) 154000 = π‘₯ ((1 + 10)/10) 154000 = π‘₯ (11/10) 154000/11 Γ— 10 = π‘₯ 1540000/11 = π‘₯ 140000 = π‘₯ ∴ π‘₯ = 140000 ∴ Original salary is Rs 1,40,000

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.