A grocer uses a faulty balance that balances 10kg in one pan with 11 kg in the other. He sells his product after hiking the cost price by $10 %$ . If he cheats the farmer while buying and his customer while selling, find his actual gain in the entire transaction.

22.22%

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30%

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22%

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33.1

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Solution

The correct option is D 33.1
When he cheats the farmer, on buying 10 kg, he is actually buying 11 kg at the price of 10. he always makes a profit of $10 %$

$S . P = 1.1 \times C P$

Similarly, while selling, when he sells 10 kg, if the cost price is 10 rupees, he is selling it for 11 rupees.

Again now, $S P = 1.1 \times 1.1 \times C P$

He also professes to sell 11 kg, when he is actually selling 10 kg

$S P = 1.1 \times 1.1 \times 1.1 \times C P \Rightarrow 33.1 %$ overall profit

Answer is option (d) $33 %$

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A grocer uses a faulty balance that balances 10kg in one pan with 11 kg in the other. He sells his product after hiking the cost price by 10%. If he cheats the farmer while buying and his customer while selling, find his actual gain in the entire transaction.

A grocer uses a faulty balance that balances 10kg in one pan with 11 kg in the other. He sells his product after hiking the cost price by $10 %$ . If he cheats the farmer while buying and his customer while selling, find his actual gain in the entire transaction.