Question

a sum of money becomes rupees 910 after 5 years at simple interest rate of 6% p a find the sum​

Answer 1

$\mathfrak{\large{\underline{\underline{\pink{Answer :-}}}}}$

The sum of money is Rs. 700.

$\mathfrak{\large{\underline{\underline{\pink{Explanation :-}}}}}$

Given :

Sum of money amounts to = Rs .910

In = 5 years

At the Rate = 6%

To find :

The sum of money

Solution :

We know that,

$\boxed{\sf{Amount = Principal + Simple \: Interest}}$

Consider the Principal as x

Simple Interest will be 910 - x

$\rule{300}{1.5}$

★ $\boxed{\sf{SI = \frac{Principal \times Rate \times Time}{100}}}$

$\sf{\implies} \: 910 - x = \dfrac{x \times 6 \times 5}{100}$

$\sf{\implies} \: 910 - x = \dfrac{x \times30}{100}$

$\sf{\implies} \: 910 - x = \dfrac{30x}{100}$

$\sf{\implies} \:100(910 - x) = 30x$

$\sf{\implies} \:91000 - 100x = 30x$

$\sf{\implies} \:91000 = 30x + 100x$

$\sf{\implies} \:91000 = 130x$

$\sf{\implies} \:x = \dfrac{91000}{130}$

$\sf{\implies} \:x = 700$

Principal = Rs. 700

$\therefore$ The sum of money is Rs. 700.