Profit And Loss - Study Mode

[#296] A dishonest fruit vendor sells his goods at cost price but they uses a weight of 900 gm. for the 1 kg. weight. His gain percent is = ?
Correct Answer

(B) $$11frac{1}{9}$$%

Explanation

Solution: According to the question, Shopkeeper sells his goods at cost price Let, Cost price of 1000 gm. goods = Rs. 1000 He sold 900 gm. goods Selling price of 900 gm. goods = Rs. 1000 Cost price of 900 gm. goods = Rs. 900 $$eqalign{
& { ext{Profit}}\% = frac{{100}}{{900}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,, = 11frac{1}{9}\% cr} $$

[#297] Oranges are bought at 5 for Rs. 10 and sold at 6 for Rs. 15. The gain percentage is = ?
Correct Answer

(D) 25%

Explanation

Solution: Let the (LCM of 5 and 6 = 30) oranges be bought. $$eqalign{
& herefore { ext{CP of 30 oranges}} cr
& = frac{{10}}{5} imes { ext{30}} cr
& = { ext{Rs}}{ ext{. 60}} cr
& { ext{Their Selling price}} cr
& = frac{{15}}{6} imes 30 cr
& = { ext{Rs}}{ ext{. 75}} cr
& { ext{Profit}} = { ext{Rs}}{ ext{.}}left( {{ ext{75}} - { ext{60}}}
ight) cr
& ,,,,,,,,,,,,,,,, = { ext{Rs}}{ ext{. 15}} cr
& herefore { ext{Profit percent}} cr
& = left( {frac{{15}}{{60}}}
ight) imes 100 cr
& = 25\% cr} $$

[#298] A dealer marks a washing machine for Rs. 7500, and allows a discount of 6% on it. Find the selling price ?
Correct Answer

(B) Rs. 7050

Explanation

Solution: $$6\% = frac{{3 leftarrow { ext{Discount}}}}{{50 leftarrow { ext{Marked price}}}}$$ Selling price = 50 - 3 = 47 Marked price → 50 units = Rs. 7500 So, Selling price → 47 units = Rs. 7050

[#299] The marked price of an article is 30% higher than the cost price. If a trader sells the articles allowing 10% discount to customer, then the gain percent will be = ?
Correct Answer

(A) 17%

Explanation

Solution: [x08egin{gathered}
{ ext{CP }},,,,,,,,,,,,,,,,,,,,,,,,{ ext{SP }},,,,,,,,,,,,,,,,,,,,,,{ ext{ MP}} hfill \
100,,xrightarrow[{{ ext{Profit}}}]{},,117,,xleftarrow[{ - 20\% }]{},,,,130 hfill \
end{gathered} ] $$eqalign{
& { ext{Now profit }}\% cr
& = frac{{117 - 100}}{{100}} imes 100 cr
& = 17\% cr} $$

[#300] A merchant marked the price of an article by increasing its production cost by 40%. Now he allows 20% discount and gets a profit of Rs. 48 after selling it. The production cost is = ?
Correct Answer

(C) Rs. 400

Explanation

Solution: [x08egin{gathered}
{ ext{CP }},,,,,,,,,,,,,,,,,{ ext{SP}},,,,,,,,,,,,,,,,,,,,{ ext{ MP}} hfill \
100,,,,,,,,,,,,,,,,112,,xleftarrow[{ - 20\% }]{},,,,140 hfill \
end{gathered} ] $$eqalign{
& { ext{Profit}} = 112 - 100 cr
& ,,,,,,,,,,,,,,,,, = 12{ ext{units}} cr
& { ext{12 units}} = { ext{ Rs}}{ ext{.}},{ ext{48}} cr
& { ext{1 unit}} = { ext{Rs}}{ ext{.}},{ ext{4}} cr
& { ext{So, CP}} = { ext{100 units}} = { ext{Rs}}{ ext{.400}} cr} $$