A shopkeeper buys a number of books for rs 80.if he had bought 4 mote books for same amount
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A shopkeeper buys a number of packets of biscuits for ` 80.x If he had bought 4 more packets
for the same amount, each packet would have cost ` 1 less. How many packets did he buy?
Step-by-step explanation:
Number of packets x
Therefore total number of packets bought = 80/x
If he buys 4 more = x+40
total number of packets he can buy =80/x+4
But if he buys 4 more than he can buys 1 less packet
80/x -80/x+4 =1
80(x+4) -80x=x(x+4)
80x +320 -80x =X square +4x
80/x - 80/(x+4) = 1
80x – 80(x+4) = x(x+4)
80x -80x +320 = x2 +4x
X2 + 4x -320 =0
(x+20) (x-16)
X=-20 x=16
X=-20 not possible
So correct answer 16 packets
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