A shopkeeper marks his goods up by 70% and offers a discount on the ma

1.	A shopkeeper marks his goods up by 70% and offers a discount on the marked price. If the final selling price after the discount results in the shopkeeper making no profit and no loss, find the discount provided by the shopkeeper.1. 41.17%2. 40.17%3. 43.78%4. 42.35%
Answer» Correct Answer - Option 1 : 41.17% Given: Marked up % = 70% If the final selling price after the discount results in the shopkeeper making no profit and no loss Concept used: D = M.P – S.P D% = (D/M.P) × 100 Where, S.P → Selling price M.P → Marked price D → Discount Calculations: Let the cost price of the article be 100x So, M.P of the article = 100x × (170/100) = 170x If the final selling price after the discount results in the shopkeeper making no profit and no loss So, Selling price of the article = 100x Discount = 170x – 100x = 70x Discount% = (70x/170x) × 100 = 41.17% ∴ Required discount% is 41.17%

A shopkeeper marks his goods up by 70% and offers a discount on the marked price. If the final selling price after the discount results in the shopkeeper making no profit and no loss, find the discount provided by the shopkeeper.1. 41.17%2. 40.17%3. 43.78%4. 42.35%

Answer» Correct Answer - Option 1 : 41.17%

Given:

Marked up % = 70%

If the final selling price after the discount results in the shopkeeper making no profit and no loss

Concept used:

D = M.P – S.P

D% = (D/M.P) × 100

Where,

S.P → Selling price

M.P → Marked price

D → Discount

Calculations:

Let the cost price of the article be 100x

So, M.P of the article = 100x × (170/100) = 170x

If the final selling price after the discount results in the shopkeeper making no profit and no loss

So, Selling price of the article = 100x

Discount = 170x – 100x = 70x

Discount% = (70x/170x) × 100 = 41.17%

∴ Required discount% is 41.17%

Discussion

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