A sports goods shop owner has 6 packets of balls each containing the same number of balls If he sell...........

Quantitative Aptitude ( CCS) Profit and loss

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

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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

Hence, option 2 is the correct answer.