Question

1) 10.8
2) 18
3) 30
5. Income of a company doubles after every one year. If the initial income was Rs.4 Lakhs, what
would be the income after 5 years ?
2) Rs. 1.28 crores 3) Rs. 2.56 crores
1) Rs. 1.24 crores
4) None of these
immitton in simnlest fractions form, the sum of the numerator and the denominator​

Answer 1

Answer:

$Option \: \green {(1)} \:is \: correct.$

Step-by-step explanation:

$Initial \: income \: of \: a \: company (a)\\ = Rs\:4\:Lakh$

/* If income of the company doubles after every one year */

Year wise incomes :

4 , 8, 16,...,is in G.p

$First \:term (a) = 4$

$Common \:ratio (r) = \frac{a_{2}}{a_{1}}\\= \frac{8}{4} = 2 > 1$

$\boxed { \pink {Sum \: of \: n \:terms (S_{n}) = \frac{a(r^{n} - 1 )}{(r-1)} }}$

$Here , n = 5 , \\S_{5} = \frac{4(2^{5} - 1)}{(2-1)}\\= \frac{ 4 (32-1)}{1}\\= 4 \times 31 \\= 124 \:Lakh \\= 1.24 \:crore$

Therefore.,

$Option \: \green {(1)} \:is \: correct.$

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