Math, asked by ashokanbu2018, 10 hours ago

the ratio of the simple interest in two blanks M and N are in the ratio X:Y Sandeep deposited equal amount in the two blanks in such a way that he receives amount of ratio of 6:7after two years find the value of X:Y​

Answers

Answered by shiwkishor
1

Step-by-step explanation:

Step b step solution is enclosed.

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Answered by amitnrw
5

Multiple solutions are possible with given data.

Few possible solutions of X:Y are  4: 13 , 10 : 20 , 16 : 27 and so on

Given:

The ratio of the simple interest in two banks M and N are in the ratio X:Y Sandeep deposited Equal amount in the two banks in such a way that he receives amount of ratio of 6:7 after two years

To find:

The value of X:Y​

Solution:

SI = P * R * T /100

Assume that Amount deposited in both banks = 100P

Interest in Bank M =  100P * X * 2 /100 = 2PX

Total Amount after 2 years = 100P + 2PX

= 2P(50 + X)

Interest in Bank N =  100P * X * 2 /100 = 2PY

Total Amount after 2 years = 100P + 2PY

= 2P(50 + Y)

Ratio is 6 : 7

2P(50 + X) : 2P(50 + Y) = 6 : 7

=> (50 + X) : ( 50 + Y) = 6 : 7

=> 7 (50 + X) = 6(50 + Y)

=> 350 + 7X = 300 + 6Y

=> 50 + 7X = 6Y

Multiple possible values of X and Y

Few integral solutions

X = 4 ,  Y=13

X = 10 , Y = 20

X = 16 ,  Y = 27

and so on

Verification:

Amount = 2P(50 + 4) = 108P  and  2P(50 + 13) = 126P

108P : 126P = 6: 7

Amount = 2P(50 + 10) = 120P  and  2P(50 +20) = 140P

120P : 140P = 6: 7

Amount = 2P(50 + 16) = 132P  and  2P(50 + 27) = 154P

132P : 154P = 6: 7

Few possible solutions of X:Y are  4: 13 , 10 : 20 , 16 : 27 and so on

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