Profit And Loss - Study Mode

[#181] In the Bargaining Bazar everyone purchase with a fair bargaining, so the traders markup the prices too much. A trader marked up an article at Rs. M expected huge profit if it is sold on marked price. But a customer purchased it at $$frac{{ ext{M}}}{2}$$ with his fine bargaining skills, so the expected profit of the trader diminished by 66.66%. What is the percentage discount fetched by the customer through bargaining?
Correct Answer

(B) 50%

Explanation

Solution: $$eqalign{
& { ext{MP}} = M cr
& { ext{SP}} = frac{M}{2} cr
& \% ,{ ext{Discount}} cr
& = {frac{{ {frac{M}{2}} }}{M}} imes 100 cr
& = 50\% cr} $$

[#182] A shopkeeper sells a badminton racket, whose marked price is Rs. 30, at a discount of 15% and gives a shuttle cock costing Rs. 1.50 free with each racket. Even then he makes a profit of 20% . His cost price per racket is.
Correct Answer

(B) Rs. 20

Explanation

Solution: $$eqalign{
& { ext{Marked Price}} = { ext{Rs}}{ ext{.30}}{ ext{}} cr
& { ext{Selling Price}} cr
& = { ext{Rs}}{ ext{.}}left[ {left( {frac{{85}}{{100}} imes 30}
ight) - 1.50}
ight] cr
& = { ext{Rs}}{ ext{.}}left( {25.50 - 1.50}
ight) cr
& = { ext{Rs}}{ ext{.2}}4. cr
& { ext{Let C.P. be }}{ ext{Rs}}{ ext{. }}x cr
& { ext{Then,}} cr
& { ext{120}}\% { ext{ of }}x = { ext{24}} cr
& Rightarrow x = left( {frac{{24 imes 100}}{{120}}}
ight) cr
& ,,,,,,,,,,,, = { ext{Rs}}{ ext{. }}20 cr} $$

[#183] A trader purchased a gift box for Rs. 150. What should be the marked price on the gift box so that after allowing a discount of 10% , he makes a profit of 10% ?
Correct Answer

(B) Rs. 183.30

Explanation

Solution: $$eqalign{
& { ext{Cost}},{ ext{price}},{ ext{of}},{ ext{gift}}, = { ext{Rs}}{ ext{.}},150 cr
& { ext{Profit}}\% = 10\% cr
& { ext{SP}} = 150 + left( {frac{{10}}{{100}} + 150}
ight) cr
& ,,,,,,,,,, = 150 + 15 cr
& ,,,,,,,,,, = { ext{Rs}}{ ext{.}},165 cr
& { ext{Discount}}\% = 10\% cr
& { ext{MP}} = frac{{165}}{{left( {100 - 10}
ight)}} imes 100 cr
& ,,,,,,,,,,,, = frac{{1650}}{9} cr
& ,,,,,,,,,,,, approx { ext{Rs}}{ ext{.}},183.30 cr} $$

[#184] A shopkeeper purchases two items for Rs. 520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss ?
Correct Answer

(A) Rs. 288

Explanation

Solution: Let the price of 1 st item is x Then for 2 nd 520 - x Profit and loss of both items are same Then, $$eqalign{
& frac{{x imes 16}}{{100}} - frac{{left( {520 - x}
ight) imes 10}}{{100}} = 0 cr
& Rightarrow 16x = left( {520 - x}
ight)10 cr
& Rightarrow 26x = 5200 cr
& Rightarrow x = 200 cr
& { ext{CP}} = 520 - 200 cr
& ,,,,,,,,,,, = 320 cr
& { ext{SP}} = 320 imes frac{{90}}{{100}} cr
& ,,,,,,,,,, = 288 cr} $$

[#185] A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gms for the kilogram weight. His gain in the percentage is = ?
Correct Answer

(C) $$14frac{2}{7}$$%

Explanation

Solution: Let dealer purchase 1000 gm in Rs. 1000 But at selling time sold 875 gm in place of 1000 gm So, $$eqalign{
& { ext{Profit }}\% = frac{{1000 - 875}}{{875}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,, = 14frac{2}{7}\% cr} $$