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+1 vote
2.1k views
in Arithmetic Progression by (43.0k points)
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An employee got Rs. 200 per month in his 11th year service and got ₹495 per month in his 24th year service. If his monthly salary is in A.P., then what is his initial salary ? What is his incriment ?

A) ₹150, ₹ 20 

B) ₹ 200, ₹ 10 

C) ₹ 300,₹ 10 

D) ₹ 150,₹ 15

2 Answers

+2 votes
by (57.0k points)
selected by
 
Best answer

Correct option is (D) ₹ 150, ₹ 15

Let initial salary of the employee be Rs a. And incriment in his salary by Rs d.

Given that his monthly salary is in A.P.

Also given that \(a_{11}=300\;\&\;a_{24}=495\)

\(\therefore a+10d=300\)      ________________(1)

\(a+23d=495\)      ________________(2)

Subtract equation (1) from (2), we get

\(a+23d-(a+10d)=495-300\)

\(\Rightarrow13d=195\)

\(\Rightarrow d=\frac{195}{13}=15\)

\(\therefore\) Incriment is Rs 15.

Put d = 15 in equation (1), we get

\(a+150=300\)

\(\Rightarrow a=300-150=150\)

\(\therefore\) Employee's initial salary is Rs 150.

+2 votes
by (43.3k points)

Correct option is D) ₹ 150,₹ 15

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