A shopkeeper purchases rice from a dishonest dealer who cheats by providing 800g only for a kg. Shopkeeper makes an order for 750 kg for Rs. 81/kg. He wanted to make 20% profit after 10% discount. After selling 400 kg he notices he has been cheated. Now he decides he neither needs a profit nor loss in overall. What should be the new marked price for which he can make 10% discount and breakeven? (in rupees)

A shopkeeper purchases rice from a dishonest dealer who cheats by providing 800g only for a kg. Shopkeeper makes an order for 750 kg for Rs. 81/kg. He wanted to make 20% profit after 10% discount. After selling 400 kg he notices he has been cheated. Now he decides he neither needs a profit nor loss in overall. What should be the new marked price for which he can make 10% discount and breakeven? (in rupees) Correct Answer 121.5

When he buys 750 kg Amount of rice he gets = 800/1000 × 750

⇒ 600 kg

Total cost of purchase = 750 × 81

⇒ 60750

To get 20% profit, his selling price = (100 + 20) /100 × 81

⇒ Rs. 97.2

He sells that for 400 kg

Net sales = 400 × 97.2

⇒ 38880

Remaining sales to made to breakeven = 60750 – 38880

⇒ 21870

Remaining rice = 600 – 400

⇒ 200

Selling price per kg = 21870/200

⇒ 109.35

∴ Marked price = 100/(100 – Discount%) × Selling price

⇒ 100/(100 – 10) × 109.35

⇒ Rs. 121.5

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