Question

A sum of money becomes $910 after 5 year at a simple interest rate of 6% p.a. find the sum

please send me fast gissss!!!!​

Answer 1

Answer:

The sum of money is Rs. 700.

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

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}}

Amount=Principal+SimpleInterest

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

Answer 2

let the principle amount be P

time = 5 yrs

rate = 6%

total amount = 910

=> principle amount + simple interest = 910

=> P + ( P x r x t ) = 910

=> P + ( P x 6% x 5 ) = 910

=> P + 0.3 P = 910

=> 1.3 P = 910

=> P = 910 ÷ 1.3

=> P = 700

therefore the principle sum is $700