The cost of a pen is Rs 4 A shopkeeper sold these pens at Rs 54 per dozen If he gives 10 discount on...........

Quant (SSC) Profit and loss

The cost of a pen is Rs. 4. A shopkeeper sold these pens at Rs. 54 per dozen. If he gives 10% discount on selling price, find the ratio of the profit % after giving the discount and profit % without giving the discount.

1 : 10

10 : 11

10 : 1

11 : 12

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Explanation:

Cost price of a pen = Rs. 4
S.P. of a pen before discount = 54/12 = Rs. 4.5
S.P. of a pen after discount = 4.5 × 0.9 = Rs. 4.05
Profit % after giving the discount : Profit % without giving the discount
⇒ 4.05 – 4 /4 × 100 : 4.5 – 4 /4 x 100
⇒ 4.05 – 4 : 4.5 – 4
⇒ 0.05 : 0.5
⇒ 1 : 10