1.

The marked price of a pair of shoes is Rs. 1300. It is sold at a successive discount series of 30%, 20% and 10%. Due to the discount, the seller faces a loss of 20%. What is the cost price of pair of shoes (in Rs.)?1). 8002). 8103). 8194). 867

Answer»

Let the COST PRICE be Rs. T.

Loss is 20%.

We know, Selling Price = Cost Price × (1 – (Loss %)/100)

⇒ Selling price = T × (1 – 20/100) = 0.8T

Also, In case of successive discounts, Selling Price = MARKED Price × (1 – Discount1/100) × (1 – Discount2/100) …….

⇒ 0.8T = 1300 × (1 – 30/100) × (1 – 20/100) × (1 – 10/100)

= 1300 × 0.7 × 0.8 × 0.9 = 655.2

⇒ T = 655.2/0.8 = 819

∴ Cost price of pair of shoes is Rs. 819.


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