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  • 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

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.

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\\ \text{We need the weight of the Iron plate - either the defective one or good one.} \\ \text{defective is If the weight of good plate is Then will actually wejgh only 0.9 Kg}$ when balanced. \\ \\ But shopkeeper charges for $1 Kg$ apples. Gain of shopkeeper on selling $1 kg =0.1 kg$ $=R s 27 \times 0.1=R s .2 .70$ \\ 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 tgehe weight of good plate is $2 Kg$, then defective plate apples will weigh only $0.800 kg$ when a buyer wants $1 Kg$. So then Shopkeeper stands to gain $200 gm$ worth of $=.200 \times 27=R$ s $5.4 \\ \\ \text{Then Cost price to even out profit or loss - no gain}

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Deependra Verma

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