The marked price of a TV is 40% higher than the cost price. If a trade

1.	The marked price of a TV is 40% higher than the cost price. If a trader sells the TV allowing a 20% discount then the profit percentage will be?1. Profit 10%2. Profit 12%3. Profit 15%4. Profit 20%
Answer» Correct Answer - Option 2 : Profit 12% Given: The marked price of TV = 40% higher than CP Discount is given by the Trader = 20% Formula used: S.P = M.P × (100 – D%)/100 S.P = C.P × (100 + P%)/100 P = S.P – C.P P% = (P/C.P) × 100 Where, S.P → Selling price M.P → Marked price D% → Discount% P% → Profit% P → Profit C.P → Cost price Calculation: Let the price of T.V be 100x Marked price is 40% more = 100x + 100x × (40/100) = 140x S.P of the T.V after 20% discount = 140x × 80/100 = 112x Profit = 112x – 100x = 12x Profit% = (12x/100x) × 100 ⇒ Profit% = 12% ∴ Profit% is 12%

The marked price of a TV is 40% higher than the cost price. If a trader sells the TV allowing a 20% discount then the profit percentage will be?1. Profit 10%2. Profit 12%3. Profit 15%4. Profit 20%

Answer» Correct Answer - Option 2 : Profit 12%

Given:

The marked price of TV = 40% higher than CP

Discount is given by the Trader = 20%

Formula used:

S.P = M.P × (100 – D%)/100

S.P = C.P × (100 + P%)/100

P = S.P – C.P

P% = (P/C.P) × 100

Where,

S.P → Selling price

M.P → Marked price

D% → Discount%

P% → Profit%

P → Profit

C.P → Cost price

Calculation:

Let the price of T.V be 100x

Marked price is 40% more = 100x + 100x × (40/100) = 140x

S.P of the T.V after 20% discount = 140x × 80/100 = 112x

Profit = 112x – 100x = 12x

Profit% = (12x/100x) × 100

⇒ Profit% = 12%

∴ Profit% is 12%

Discussion

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