A shopkeeper cheats to the extent of 8% while buying and selling fruits, by using tampered weights, his total gain in percentage is : \n

A shopkeeper cheats to the extent of 8% while buying and selling fruits, by using tampered weights, his total gain in percentage is : 

Let the cost price (C.P.) per kg of the fruits is Rs. 1000.

The shopkeeper cheats to the extent of 8% while buying and selling fruits, by using tampered weights.

When the shopkeeper sells the tampered weights shows 8% more weight than the normal weight and 8% less weight than the normal weight while the shopkeeper buys the fruits .

If the shopkeeper buys one kg of fruits with the tampered weight he gets 1.08 kg of fruits.

⇒ C.P. of the fruits bought by the shopkeeper = 1.08 × 1000 = Rs. 1080

C.P. of 1.08 kg of fruits for which the shopkeeper bought = Rs. 1000

Selling price (S.P.) of 1.08 kg of fruits = 1080 + (8% of 1080) = 1080 + 86.4 = Rs. 1166.4

(? S.P. = C.P. + Profit)

Gain% = [(S.P. – C.P.)/C.P.] × 100 = [(1166.4 – 1000)/1000] × 100 = 16.64%

Gain% = 16.64%

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