Question

On selling a t-shirt at five-seventh of its marked price, the store earns 15% profit. What is
the profit earned if the t-shirt is sold at its marked price?​

Answer 1

If marked price=x, cost price=CP .As 5x/7 is 115 of CP, so x will be x*115/(5x/7)=161 of CP

% Profit earned ,if sold at marked price=61

Answer 2

Solution :-

Let us assume that, Marked price of tshirt is Rs. 70x .

So,

→ SP of tshirt = (5/7) of MP = (5/7) * 70x = Rs. 50x

and,

→ Profit = 15% .

then,

→ CP of shirt = (SP * 100)/(100 + profit %) = (50x * 100)/85 = Rs. (1000x/17)

now,

→ New SP of shirt = MP = Rs. 70x

→ CP of shirt = Rs.(1000x/17)

therefore,

→ New Profit = SP - CP = 70x - (1000x/17) = (1190x - 1000x)/17 = Rs. (190x/17)

hence,

→ Required profit % = (Profit in Rs. * 100) / CP = [(190x/17) * 100] / (1000x/17) = (190x * 100)/1000x = 19% (Ans.)

∴ The profit earned if the t-shirt is sold at its marked price is equal to 19% .

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