# A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 30% discount, then what will be his new profi

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A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 30% discount, then what will be his new profit percent?
1. 10%
2. 20%
3. 30%
4. 40%

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Correct Answer - Option 4 : 40%

Given:

Discount % (D1) = 20%, Profit % (P1) = 60%

Discount % (D2) = 30%, Profit % (P2) = ?

Formula used:

S.P = M.P × (100 – D%)/100

C.P = S.P × 100/(100 + P%)

P = S.P – C.P

P% = (P/C.P) × 100

Where,

S.P → Selling price

C.P → Cost price

M.P → Marked price

D% → Discount%

P% → Profit%

Calculations:

Let the M.P of the product be 100x

So, S.P of the product = 100x × (100 – 20)/100 = 80x

C.P of the product = 80x × 100/(100 + 60) =50x

If the discount of the product is 30%

Now, the S.P of the product = 100x × (100 – 30)/100 = 70x

Profit = 70x – 50x = 20x

Profit% = (20x/50x) × 100 = 40%

∴ The required profit% is 40%