1) Rekhadidi deposited Rs 10,000 of her savings in two separate banks at the same time. The rate of simple interest per annum is of 6% in one bank and that of 7% in other bank, after 2yrs, if she gets 1280 in total as interest, then let us wrte by calculating, the money she bad deposited separately in each of two banks ?
Answers & Comments
Answer:
Given :-
To Find :-
Formula Used :-
where,
Solution :-
Let, Rekhadidi deposited in 1st bank is Rs x
And, she deposited in 2nd bank is Rs (10000 - x)
Now,
Given :
By substituting the formula we get,
⇒ S.I =![\sf\dfrac{x \times 6 \times 2}{100} \sf\dfrac{x \times 6 \times 2}{100}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7Bx%20%5Ctimes%206%20%5Ctimes%202%7D%7B100%7D)
➠ S.I =![\sf\dfrac{12x}{100} \sf\dfrac{12x}{100}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B12x%7D%7B100%7D)
Again
Given :
By substituting the formula we get,
↦ S.I =![\sf\dfrac{(10000 - x) \times 7 \times 2}{100} \sf\dfrac{(10000 - x) \times 7 \times 2}{100}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B%2810000%20-%20x%29%20%5Ctimes%207%20%5Ctimes%202%7D%7B100%7D)
↦ S.I =![\sf\dfrac{(70000 - x) \times 2}{100} \sf\dfrac{(70000 - x) \times 2}{100}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B%2870000%20-%20x%29%20%5Ctimes%202%7D%7B100%7D)
➦ S.I =![\sf\dfrac{140000 - 14x}{100} \sf\dfrac{140000 - 14x}{100}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B140000%20-%2014x%7D%7B100%7D)
Now, according to the question,
↪![\sf\dfrac{12x}{100} +\: \dfrac{140000 - 14x}{100} =\: 1280 \sf\dfrac{12x}{100} +\: \dfrac{140000 - 14x}{100} =\: 1280](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B12x%7D%7B100%7D%20%2B%5C%3A%20%5Cdfrac%7B140000%20-%2014x%7D%7B100%7D%20%3D%5C%3A%201280)
↪![\sf\dfrac{12x + 140000 - 14x}{100} = 1280 \sf\dfrac{12x + 140000 - 14x}{100} = 1280](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B12x%20%2B%20140000%20-%2014x%7D%7B100%7D%20%3D%201280)
↪![\sf\dfrac{- 2x + 140000}{100} = 1280 \sf\dfrac{- 2x + 140000}{100} = 1280](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B-%202x%20%2B%20140000%7D%7B100%7D%20%3D%201280)
By doing cross multiplication we get,
↪![\sf{- 2x + 140000 = 128000} \sf{- 2x + 140000 = 128000}](https://tex.z-dn.net/?f=%5Csf%7B-%202x%20%2B%20140000%20%3D%20128000%7D)
↪![\sf{- 2x = 128000 - 140000} \sf{- 2x = 128000 - 140000}](https://tex.z-dn.net/?f=%5Csf%7B-%202x%20%3D%20128000%20-%20140000%7D)
↪![\sf{- 2x = - 12000} \sf{- 2x = - 12000}](https://tex.z-dn.net/?f=%5Csf%7B-%202x%20%3D%20-%2012000%7D)
↪ x =![\sf\dfrac{\cancel{- 12000}}{\cancel{- 2}} \sf\dfrac{\cancel{- 12000}}{\cancel{- 2}}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B%5Ccancel%7B-%2012000%7D%7D%7B%5Ccancel%7B-%202%7D%7D)
➪ x = Rs 6000
Hence, the required money she deposited separately in each of two banks are,
✧ In 1st bank = Rs x = Rs 6000
✧ In second bank = Rs (10000 - x) = Rs (10000 - 6000) = Rs 4000
1) Rekhadidi deposited Rs 10,000 of her savings in two separate banks at the same time. The rate of simple interest per annum is of 6% in one bank and that of 7% in other bank, after 2yrs, if she gets 1280 in total as interest, then let us wrte by calculating, the money she bad deposited separately in each of two banks