A dishonest seller sells the goods at 6(1/4)% loss on cost price but uses 12(1/2)% less weight. What is his profit or loss percent?

A dishonest seller sells the goods at 6(1/4)% loss on cost price but uses 12(1/2)% less weight. What is his profit or loss percent?
1). 14(2/7)%
2). 7(1/7)%
3). 8%
4). 9%

Let the price of the goods is Rs. 1 per gm.

For 16 gm of goods, CP is Rs. 16

Shopkeeper sold the goods at 6(1/4)% loss on CP

⇒ SP of the goods = 16 – (25 × 16)/(4 × 100)

⇒ SP of the goods = Rs. 15

Shopkeeper also uses 12(1/2)% less weight

⇒ For 16 gm of goods, he weighs = 16 – (25 × 16)/ (2 × 100) = 16 – 2 = 14 gm

CP of 14 gm of goods = Rs. 14

⇒ Profit = 15 – 14 = Rs. 1

⇒ Profit % = 1 × 100/14 = 50/7% = 7(1/7)%

∴ Profit gained by the shopkeeper is 7(1/7)%

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