Percentage

1:

A sports goods shop owner has 6 packets of balls each containing the same number of balls. If he sells each ball at Rs. 8 he gains Rs.96. If there were 1 ball less in each packet and he sells each ball at Rs.9 then he gains Rs.90 in the transaction. The cost price of each packet of balls is

A.

Rs.36

B.

Rs.48

C.

Rs.64

D.

Rs.52

 

Answer : B

Explanation :

Let there be n number of balls in each packet.
∴ 6n x 8 = CP + 96
⇒48n = CP + 96  ------------ (i)
Also, 6 (n - 1) x 9 = CP + 90
⇒54n - 54 = CP + 90
54n = CP + 144 ------------(ii)
Solving equations (i) and (ii),
we get, n = 8
∴ CP = 48 x 8 96 = 384 - 96 =  Rs.288
Each packet cost = Rs.48.

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Option: A

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