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
Step-by-step explanation:
Step b step solution is enclosed.
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