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Sahiba Kaur

· started a discussion

· 1 Months ago

Numerical Ability- Question 46 (Question:14231.0)

The question asks the total amount received by A from both the banks and the solution just adds the principal amount deposited in Bank X, why is the principal amount deposited in Bank Y not added?

Question:
DIRECTIONS : Three persons, A, B and C, deposited their annual savings in two different banks X and Y. The amount deposited by A in Bank X is double the amount deposited by him in Bank Y. The amount deposited by B in Bank X is half the amount he deposited in Bank Y. The amount deposited by C in Bank Y is the same as the amount deposited by A in Bank X. Total amount deposited by the three persons is 2.35 lac and the ratio of amount deposited by A, B and C is 12 : 15 : 20. Bank X gives simple interest at the rate of 15% pa and Bank Y gives compound interest at the rate of 10% pa. Answer the following questions based on the information.
What would be the total amount received by A after two years from both banks X and Y together?
Options:
A) 73200
B) 74200 
C) 75200
D) 76200
E) 77200
Solution:
A + B + C = 235000

A : B : C =12 : 15 :20

Let the amount deposited be 12x, 15x and 20x

 
A = 60000,
B = 75000,
C = 100000  AX = 2AY and AX + Ay = 60000  
AX = 40000 and 
AY  = 20000 
 
BX + BY = 75000  
BX = 25000 and 
BY = 50000 
CY = AX = 40000 
CX = 100000 – 40000     = 60000

The solution can be summarized as
Amount
Invested
X (15%)
Y (10%)
Total
A400002000060000
B250005000075000
C6000040000100000


Total amount
\(40000+ 40000\times.15\times2+ (20000\times1.1\times1.1) = 52000 + 24200 = 76200\)

Knowledge Expert

· commented

· 1 Months ago

@Sahiba Kaur keep learning with us.

Regards
Team TR

Sahiba Kaur

· commented

· 1 Months ago

I got the answer, thanks.
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