Profit And Loss - Study Mode

[#186] A shopkeeper sold an air - conditioner for Rs. 25935 with a discount of 9% and earned a profit of 3.74%. What would have been the percentage of profit if no discount were offered?
Correct Answer

(D) None of these

Explanation

Solution: Selling Price = Rs. 25935 Let marked price be Rs. x Then, $$eqalign{
& = { ext{91}}\% { ext{ of }}x{ ext{ = 25935}} cr
& x{ ext{ = }}left( {frac{{25935 imes 100}}{{91}}}
ight) cr
& ,,,,,, = 28500 cr
& { ext{Cost Price}} cr
& = { ext{Rs}}.left( {frac{{100}}{{103.74}} imes 25935}
ight) cr
& = { ext{Rs}}{ ext{. 25000}}{ ext{}} cr} $$ Now Cost price = Rs. 25000 S.P. = Rs. 28500 Profit = Rs. (28500 - 25000) = Rs. 3500 $$eqalign{
& herefore { ext{ Required profit }}\% cr
& = left( {frac{{3500}}{{25000}} imes 100}
ight)\% cr
& = 14\% cr} $$

[#187] A shopkeeper sells 25 articles at Rs. 45 per article after giving 10% discount and earns 50% profit. If the discount is not given, the profit gained is = ?
Correct Answer

(D) $$66frac{2}{3}$$%

Explanation

Solution: Selling price of 1 article = Rs. 45 Let marked price of each article be Rs. x Then, $$eqalign{
& frac{{90}}{{100}}x = 45 cr
& x = { ext{Rs}}{ ext{.}}left( {frac{{45 imes 100}}{{90}}}
ight) cr
& ,,,,,, = { ext{Rs}}{ ext{. 50}} cr
& { ext{CP}} = { ext{Rs}}{ ext{.}}left( {frac{{100}}{{150}} imes 45}
ight) cr
& ,,,,,,,,,, = { ext{Rs}}{ ext{. 30}} cr} $$ When no discount is given, Cost price = Rs. 30, Selling price = Rs. 50 ∴ Required profit % $$eqalign{
& = left( {frac{{20}}{{30}} imes 100}
ight)\% cr
& = 66frac{2}{3}\% cr} $$

[#188] At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5% ?
Correct Answer

(A) 40%

Explanation

Solution: Cost Price : Marked Price (100 - Discount%) : (100 + Profit%) 100 - 5% : 100 + 33% $$underbrace {95,,,,,,,,,,,,,,,,,,,,,,,133}_{38}$$ $$eqalign{
& { ext{Required }}\% = frac{{38}}{{95}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = 40\% cr} $$

[#189] A dealer allows a discount of 15%. A customer pays an amount of Rs. 318.75 for an article. At what price is the article listed ?
Correct Answer

(B) Rs. 375.00

Explanation

Solution: $$15\% = frac{3}{{20}},$$ Cost Price Selling Price $$mathop { downarrow imes 18.75}limits_{375,,,,,,,,,,,,,,,,,,,,}^{20,,,,,,,,,,,,,,,,,,,,,} $$ $$mathop { downarrow imes 18.75}limits_{318.75,,,,,,,,,,,,,,,,,,,,}^{17,,,,,,,,,,,,,,,,,,,,,} $$ Article listed price is Rs. 375.00

[#190] A man bought 25 crates of oranges for 10000. He lost 5 crates. In order to earn a total profit of 25% of the total cost, he would have to sell each of the remaining crates at = ?
Correct Answer

(B) Rs. 625

Explanation

Solution: Remaining creates = 25 - 5 = 20 So, $$eqalign{
& { ext{Cost Price}} cr
& = frac{{10000}}{{20}} = 500/{ ext{crates}} cr
& { ext{25}}\% = frac{{1 leftarrow { ext{Profit}}}}{{4 leftarrow { ext{Cost price}}}} cr
& ,,,,,,{ ext{CP}},,,,,,,,,,,,,,,,,,,{ ext{SP}} cr
& mathop { downarrow imes 125}limits_{500,,,,,,,,,,,,,,,,}^{4,,,,,,,,,,,,,,,,} mathop {,,,,, downarrow imes 125}limits_{625,,,,,,,,,,,}^{5,,,,,,,,,,,} cr} $$ Sell each of the remaining crates = Rs. 625