Income of Hemant was Rs. 4000. In the first 2 | vedclass

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(A) Initial income of Hemant,$P = Rs. 4000$.Let $r_1$ (rate of decrease) $= 10\%$,$r_2$ (rate of decrease) $= 5\%$,and $r_3$ (rate of growth) $= 15\%$

Vedclass · Accepted Answer

$3933$

Vedclass · Answer

(A) Initial income of Hemant,$P = Rs. 4000$.Let $r_1$ (rate of decrease) $= 10\%$,$r_2$ (rate of decrease) $= 5\%$,and $r_3$ (rate of growth) $= 15\%$.The final income after three years is calculated as:$	ext{Final Income} = P 	imes \left(1 - \frac{r_1}{100}ight) 	imes \left(1 - \frac{r_2}{100}ight) 	imes \left(1 + \frac{r_3}{100}ight)$Substituting the values:$	ext{Final Income} = 4000 	imes \left(1 - \frac{10}{100}ight) 	imes \left(1 - \frac{5}{100}ight) 	imes \left(1 + \frac{15}{100}ight)$$= 4000 	imes \frac{90}{100} 	imes \frac{95}{100} 	imes \frac{115}{100}$$= 4000 	imes 0.9 	imes 0.95 	imes 1.15$$= 3600 	imes 0.95 	imes 1.15$$= 3420 	imes 1.15 = 3933$Therefore,the income at the end of the third year is Rs. $3933$.

Income of Hemant was Rs. $4000$. In the first $2$ years,his income decreased by $10\%$ and $5\%$ respectively,but in the third year,the income increased by $15\%$. What was his income (in Rs.) at the end of the third year?

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