SATHEE: Quantitative Aptitude Ques 11

Quantitative Aptitude Ques 11

Question: A sum of Rs. 6240 is paid off in 30 installments in such a way that each installment is Rs. 10 more than the preceding installment. What is the value of the first installment? [NICL (AO) 2014]

Options:

A) Rs. 30

B) Rs. 45

C) Rs. 63

D) Rs. 72

E) Rs. 57

Show Answer

Answer:

Correct Answer: C

Solution:

Here, $ sum=6240=S _{n}, $ d = 10, a = first installment = ?, n = 30 Here, it is an arithmetic progression. $ \because $ $ S _{n}=\frac{n}{2}[2a+(n-1),d] $

$ \therefore $ $ 6240=\frac{30}{2}[2\times a+(30-1)\times 10] $

$ \Rightarrow $ $ 6240=15,(2a+290) $
$ \Rightarrow $ $ 416=2a+290 $

$ \Rightarrow $ $ 2a=416-290 $
$ \Rightarrow $ $ 2a=126 $

$ \Rightarrow $ $ a=63 $ Hence, first installment = Rs. 63

Quantitative Aptitude Ques 10

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