1.

When a discount of 20% is given on a movie ticket, the profit is 34%. If the discount is 15%, then the profit is1). 49 percent2). 42.375 percent3). 55.625 percent4). 35.75 percent

Answer»

Let the list price be RS. x

Selling price = x – (20/100) × x = Rs. 4x/5

Profit = 34%

Profit% = (SP – CP)/CP × 100, where SP = selling price and CP = cost price

34/100 = (4x/5 – CP)/CP

(134/100) CP = 4x/5

CP = (4x/5) × (100/134) = 80x/134

New selling price = x – (15/100) × x = 85x/100

CP = 80x/134

Profit = 85x/100 – 80x/134 = 3390x/(100 × 134)

Profit % = [(3390x/(100 × 134) )/(80x/134)] × 100 = 42.375%


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