Question

please solve this sum for me​

Answer 1

Step-by-step explanation:

Let X and Y be the money invested by pramod and Rohit respectively such that they will get the same sum on attaining the age of 25 years .

Pramod will attain the age of 25 years after

25-16= 9 years

Rohit will attain the age of 25 years after

25-18= 7 years

x(1+5/100)^9 = y (1+5/100)^7

X/Y = 1/(1+5/100)^2

X/Y = 400/441

promad and Rohit should invest in 400: 441 ratio respectively such that they will get the same sum on attaining the age of 25 years

I hope it will help you

Answer 2

$\huge \fbox \pink{Solution:}$

$\textbf{Age of Pramod = 16 years }$

$\textbf{age of Rohit = 18 years }$

$\textbf{At the age of 25 years, each}$

$\text{∴Period in case of Pramod = 25-16=9 \: years}$

$\text{and in case of Rohit = 25-18 7 years}$

$\text{Rate of interest } (r) = 5\% \: p.a.$

Let in each case, amount of each person =

$x$ Investment made by Pramod

$⇒A \div \left( 1 + \frac{r}{100} \right) \] {}^{9} = A \div \left(1 + \frac{5}{100} \right) \] {}^{9}$

$⇒A \div \left( \frac{21}{20} \right) \] {}^{9} = A \times \left( \frac{20}{21} \right) \] {}^{9}$

$\sf \colorbox{pink} {Investment made by Rohit}$

$⇒A + { \left( \frac{21}{20} \right) \]}^{7} = A \times { \left( \frac{20}{21} \right) \]}^{7}$

$\sf \colorbox{pink} {Now Ratio in their investment}$

$⇒A \times { \left( \frac{20}{21} \right) \]}^{9} \: \: \: :A \times \: { \left( \frac{20}{21} \right) \]}^{7}$

$⇒ { \left( \frac{20}{21} \right) \]}^{2} \: \: :1 \: \: \: \: [dividing \: by \: A \: \left( \frac{20}{21} \right) \] {}^{7} ]$

$⇒ \frac{400}{441} \: \: :1 = 400:441$

$\\ \\ \\ \\ \\ \\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$