Question

A sum of ₹2,800 become ₹2,968 in 2 years at a certain rate of simple interest. Find the sum of money which will become ₹4,840 in 5 years at the same rate of interest.

Answer 1

Given

• Principal= ₹2,800
• Time = 2 year's
• Amount= ₹2,968

To Find

• the Sum Of Money which will become ₹4,840 in 5 years .

Solution

$\mathfrak{as \: we \: know \: that}$

$\sf Simple\ Interest= Amount - Principal$

${\implies\sf Simple\ Interest= 2968 - 2800}$

${\implies\sf Simple\ Interest= ₹168}$

${\implies \sf \: si = \dfrac{principal \times rate \times time}{100}}$

${\implies \sf \: 168= \dfrac{2800 \times rate \times 2}{100}}$

$\implies \sf \: 16800=5600 \times rate$

$\implies\sf \: rate = \dfrac{16800}{5600}$

$~~~~~~~~~~~~~~~\underline{\boxed{{\tt \: rate = 3\%}}}$

Now According to Question

Let new Principal For 5 year's on amount 4840 be x

• SI= Amount- principal
• Amount= ₹4840
• Time = 5 year's
• Rate= 3%

$\bold{\mathfrak{as \: we \: know \: that}}$

${\implies\sf \: si = \dfrac{principal \times rate \times time}{100}}$

${\implies\sf \: 4840 - x = \dfrac{x \times 3\times 5}{100} }$

${\implies\sf \: 100(4840 - x) = 15x}$

$\implies\sf \: 15x = 484000 - 100x$

$\implies\sf \: 115x = 484000$

$\implies\sf \: x = \dfrac{484000}{115}$

$~~~~~~~~~~~~~~~\underline{\boxed{\tt \: x =4208 . 6}}$

• the sum of money which will become ₹4,840 in 5 years at the same rate of interest is ₹4,208.6.

Answer 2

Step-by-step explanation:

answer is in the attachment

hope this helps you