Question

umesh set up a small factory by investing ₹40,000. During the first three successive years his profits were 5%,10% and 15% respectively. If each year the profit was on previous years' capital, calculate his total profit.

Answer 1

$\boxed{\bold{\large{Answer:}}}$

$\text{Total\:sum\:=\:40,000}$

$\text{We\:know\:that,}$

$Interest = \frac{sum \times time \times rate}{100} \\ \\ \implies \frac{40000 \times 1 \times 5}{100} \\ \\ \implies2000rs$

$\text{The\:total\:sum\:Invested\:in\:the\:2nd\:year\:is\:42,000}$

$\text{The\:profit\:in\:2nd\:year\:is\:10\:percent}$

$\text{The\:interest\:will\:be,}$

$\implies \frac{42000 \times 1 \times 10}{100} \\ \\ \implies42000rs$

$\text{The\:total\:sum\:Invested\:in\:3rd\:year\:will\:be,}$

$\text{42,000\:+\:4200\:=\:46,200}$

$\text{The\:profit\:in\:3rd\:year\:is\:15\:percent}$

$\text{The\:interest\:will\:be,}$

$\implies \frac{46200 \times 1 \times 15}{100} \\ \\ \implies6930rs$

$\text{The\:total\:sum\:will\:be,}$

$\text{46,200\:+\:6930\:=\:53130Rs}$

$\text{Thus,the\:total\:profit\:will\:be,}$

$\text{53,130\:-\:40,000\:=\:13,130}$

$\boxed{\bold{\large{Hope\:it\:helps\:you!}}}$

Answer 2

Initial Investment = 40000 Rupees
profit on it =  5% ⇒ 5% * 40000 ⇒ 2000
Total return = 40000+2000= 42000 Rupees (1st Year)
Similarly 10 % profit in 2nd year gives 10% * 42000 = 4200 Rupees
Total = 42000+4200 =46200
Now Finally in third year 15% * 46200 =6930 Rupees
Total Return After Three Years = 46200 +6930 =53130 Rupees3