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The respective ratio of salaries of A an...

The respective ratio of salaries of A and B is 8:7. if the salary of B increased by 20% and the salary of A increases by 21% , the new ratio becomes 96:77 respectively . What is A's salary ?

A

Rs. 22560

B

Rs. 21600

C

Rs. 20640

D

Cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
D

(d) `("A's salary")/("B's salary")=(8)/(7)`
A's salary `=(8x)/(15)`
B's salary =`(7x)/(15)`
Now, A's salary `=(8x)/(15)+(8x)/(15)xx(21)/(100)=(8x+1.68x)/(15)=(9.68x)/(15)`
Now B's salary `=(7x)/(15)+(7x)/(15)xx(20)/(100)=(7x+1.4x)/(15)=(8.4x)/(15)`
`((9.68x)/(15))/((8.4x)/(15))=(96)/(77)`
`(9.68)/(8.4)=(96)/(77)`
Here x is cancelled. So, salary of A can't calculated .
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