Profit And Loss - Study Mode
[#256] By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is -
Correct Answer
(C) 8%
Explanation
Solution: Marked price = Rs. 300 $$eqalign{
& { ext{C}}{ ext{.P}}{ ext{.}} = { ext{Rs}}{ ext{.}}left( {frac{{100}}{{120}} imes 300}
ight) cr
& ,,,,,,,,,,,, = { ext{Rs}}{ ext{.250}}{ ext{}} cr} $$ Sale price = 90% of Rs. 300 = Rs. 270 $$eqalign{
& herefore { ext{ Required gain }}\% cr
& { ext{= }}left( {frac{{20}}{{250}} imes 100}
ight)\% cr
& = 8\% cr } $$
[#257] At what percent above the cost price must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price ?
Correct Answer
(C) $$33frac{1}{3}$$%
Explanation
Solution: Let Cost price = Rs. 100 Then, Selling price = Rs. 120 Let marked price be Rs. x Then, 90% of x = 120 $$eqalign{
& Rightarrow x{ ext{ = }}left( {frac{{120 imes 100}}{{90}}}
ight) cr
& ,,,,,,,,,,,, = 133frac{1}{3} cr
& herefore { ext{Marked price}} cr
& = { ext{33}}frac{1}{3}\% { ext{ above C}}{ ext{P}}{ ext{}} cr} $$
[#258] A discount of 10% is given by a salesman for cash payment. What should be the marked price if he wants to earn a profit of 5% ?
Correct Answer
(A) 16.67%
Explanation
Solution: $$eqalign{
& ,,,{ ext{Cost price}}:{ ext{Marked price}} cr
& left( {100 - { ext{D}}\% }
ight):left( {100 + { ext{P}}\% }
ight) cr
& ,,,,,,,,,,,,,,underbrace {90,,,,,,,,,,{ ext{:}},,,,,,,,,,,{ ext{105}}}_{15} cr} $$ Percentage of marked price above cost price $$eqalign{
& = frac{{15}}{{90}} imes 100 cr
& = 16frac{2}{3}\% cr
& = 16.67\% cr} $$
[#259] A shopkeeper purchased 50 dozen cups for Rs. 3000. Out of these, 60 cups were broken and could not be sold. At what rate per dozen should he sell the remaining cup to make a profit of 20% ?
Correct Answer
(C) Rs. 80
Explanation
Solution: Cost Price = Rs. 3000 To make a profit of 20%, selling price should be, $$eqalign{
& { ext{SP}} = 3000 imes frac{6}{5} cr
& ,,,,,,,,, = 3600 cr} $$ As 5 dozens cup were broken out of 50 dozen So, selling price of remaining 45 dozen cup : $$ = frac{{3600}}{{45}} = { ext{Rs}}{ ext{. 80}}$$
[#260] If a commission at the rate of 10% is given to a bookseller on the marked price of a book by the publisher, the publisher gains 20% . If the commission is increased to 15% , then the gain percent would be = ?
Correct Answer
(B) $$13frac{1}{3}\% $$
Explanation
Solution: Let CP = 100 and Marked Price = x SP = 100 + 20% of 100 = 120 10% commision was given on SP SP = x - 10% of x $$eqalign{
& 120 = x - frac{{10x}}{{100}} cr
& 120 = frac{{9x}}{{10}} cr
& 9x = 1200 cr
& x = frac{{1200}}{9} = 133.33 cr
& { ext{MP}} = 133.33 cr} $$ If 15% commission was given, then SP = 133.33 - 15% of 133.33 SP = 133.33 - 20 SP = 113.33 Gain = 113.33 - 100 % Gain = 13.33% or $$13frac{1}{3}\% $$