Profit And Loss - Study Mode

[#331] A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Correct Answer

(C) 5

Explanation

Solution: $$eqalign{
& { ext{C}}{ ext{.P}}{ ext{.}},{ ext{of}},{ ext{6}},{ ext{toffees}},{ ext{ = }},Rs.,1 cr
& { ext{S}}{ ext{.P}}{ ext{.}},{ ext{of}},{ ext{6}},{ ext{toffees}} cr
& = 120\% ,{ ext{of}},Rs.,1 = Rs.,frac{6}{5} cr
& { ext{For}},Rs.,frac{6}{5},{ ext{toffees}},{ ext{sold}} = 6. cr
& { ext{For}},Rs.,1,{ ext{toffees}},{ ext{sold}} = {6 imes frac{5}{6}} = 5 cr} $$

[#332] The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Correct Answer

(A) Rs. 2000

Explanation

Solution: $$eqalign{
& { ext{Let}},{ ext{C}}{ ext{.P}}{ ext{.}},{ ext{be}},Rs.,x cr
& { ext{Then}},,frac{{1920 - x}}{x} imes 100 = frac{{x - 1280}}{x} imes 100 cr
& Rightarrow 1920 - x = x - 1280 cr
& Rightarrow 2x = 3200 cr
& Rightarrow x = 1600 cr
& herefore { ext{Required}},{ ext{S}}{ ext{.P}}{ ext{.}}, = 125\% ,{ ext{of}},Rs.,1600 cr
& = Rs.,left( {frac{{125}}{{100}} imes 1600}
ight) = Rs.,2000 cr} $$

[#333] A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Correct Answer

(C) Rs. 72

Explanation

Solution: $$eqalign{
& { ext{C}}{ ext{.P}}{ ext{.}}, = ,Rs.,left( {frac{{100}}{{122.5}} imes 392}
ight) cr
& ,,,,,,,,,,,,,, = ,Rs.,left( {frac{{1000}}{{1225}} imes 392}
ight) cr
& ,,,,,,,,,,,,,, = Rs.,320 cr
& herefore { ext{Profit}} = Rs.,left( {392 - 320}
ight) cr
& ,,,,,,,,,,,,,,,,,,,,,,, = Rs.,72 cr} $$

[#334] A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Correct Answer

(C) Rs. 1190

Explanation

Solution: $$eqalign{
& { ext{S}}{ ext{.P}}{ ext{.}} = 85\% ,{ ext{of}},Rs.,1400 cr
& = Rs.,left( {frac{{85}}{{100}} imes 1400}
ight) cr
& = Rs.,1190 cr} $$

[#335] Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Correct Answer

(C) 5.6

Explanation

Solution: $$eqalign{
& { ext{Cost}},{ ext{Price}},{ ext{of}},{ ext{1}},{ ext{toy}} cr
& = Rs.,left( {frac{{375}}{{12}}}
ight) = Rs.,31.25 cr
& { ext{Selling}},{ ext{Price}},{ ext{of}},{ ext{1}},{ ext{toy}}, = ,Rs.,33 cr
& { ext{So,}},{ ext{Gain}}, = ,Rs.,left( {33 - 31.25}
ight) = Rs.,1.75 cr
& herefore { ext{Profit}},\% = left( {frac{{1.75}}{{31.25}} imes 100}
ight)\% cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = frac{{28}}{5}\% = 5.6\% , cr} $$