# A shopkeeper has a weighing balance containing two iron plates on both sides.but this weighing balance is defective.one plate is 10 % shorter than the another onehe sells apples for rs 27 per kghe puts 1 kg bar on the smaller plate and apples on the other side.Determine the cost price of the apples for the shopkeeper when he faces neither gain nor loss on this transaction.

1
by joshnaprinces0

2014-08-02T00:00:25+05:30

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We need the weight of the Iron plate - either the defective one or good one.

If the weight of good plate is 1 Kg and defective is 0.9  kg  (10% less).  Then
Apples sold will actually weigh only  0.9 Kg when balanced.  But shopkeeper charges for 1 Kg apples.

Gain of shopkeeper on selling 1 kg    ---- he gains  ---- 0.1 kg
=>  Rs 27 / Kg * 0.1 Kg             =    Rs 2.70
If the cost price of apples is higher by Rs 2.70  THen shopkeeper makes no profit or no loss.
So cost price of apples = Rs 27 + 2.70 = Rs 29.70 / Kg

IF THE WEIGHT OF GOOD plate is 2 Kg, then defective plate weighs 1.8 Kg only. Sold apples will weigh only 0.800 kg when a buyer wants 1 Kg.  So then Shopkeeper stands to gain 200 gm worth of apples => 0.200 * 27 = Rs 5.4
Then Cost price to even out profit or loss - no gain no loss =
=  Rs 27 + 5.4 = Rs 32.4

thanks alot ji.... how smartly u wrkd on dat puzzle.. looks great...:)