Profit And Loss - Study Mode

[#341] Aditya, a trader, sells an item to a retailer at 20% discount, but charges 10% on the discounted price, for delivery and packaging. The retailer sells it for Rs. 2046 more, thereby earning a profit of 25%. At what price had the trader marked the item ?
Correct Answer

(D) Rs. 9300

Explanation

Solution: Let the marked price of the item be Rs. 100x Discount % = 20% Changes for delivery and packaging = 10% on discounted price Then, [100xxrightarrow{{ - 20\% }}80xxrightarrow{{ + 10\% }}88x] $$eqalign{
& herefore 88x + 88x imes frac{{25}}{{100}} - 88x = 2046 cr
& Rightarrow 110x - 88x = 2046 cr
& Rightarrow 22x = 2046 cr
& Rightarrow x = 93 cr
& { ext{Hence,}} cr
& 100x = 39 imes 100 cr
& ,,,,,,,,,,,,,, = 9300 cr
& herefore { ext{Marked price}} = { ext{Rs}}{ ext{.}},{ ext{9300}} cr} $$

[#342] Cost price of 28 articles is equal to selling price of 21 articles, then percentage of profit is = ?
Correct Answer

(B) $$33frac{1}{3}$$%

Explanation

Solution: Cost price of 28 articles = Selling price of 21 articles $$frac{{{ ext{CP}}}}{{{ ext{SP}}}} = frac{{21}}{{28}} = frac{3}{4}$$ Profit = Selling price - Cost price = 4 - 3 = 1 $$eqalign{
& { ext{Profit }}\% = frac{1}{3} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,, = 33frac{1}{3}\% cr} $$

[#343] If the ratio of cost price and selling price be 10 : 11 then find the profit percent ?
Correct Answer

(B) 10%

Explanation

Solution: $$eqalign{
& frac{{{ ext{Cost price}}}}{{{ ext{Selling price}}}} = left. {frac{{10}}{{11}}}
ight)1 cr
& { ext{Profit }}\% = frac{1}{{10}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,, = 10\% cr} $$

[#344] If the cost price of 25 pens is equal to the selling price of 20 pens, then profit percent is = ?
Correct Answer

(B) 25%

Explanation

Solution: CP of 25 pens = SP 20 pens $$frac{{{ ext{CP}}}}{{{ ext{SP}}}} = frac{{20}}{{25}} = left. {frac{4}{5}}
ight)1 = { ext{Profit}}$$ $$eqalign{
& { ext{Profit }}\% = frac{1}{4} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,, = 25\% cr} $$

[#345] A box is bought of Rs. 75 and sold at a gain of 8%. Find its selling price = ?
Correct Answer

(A) Rs. 81

Explanation

Solution: Cost price of box = Rs. 75 gain% = 8% Now, required selling price $$eqalign{
& = left( {108\% { ext{ of Rs}}{ ext{.75}}}
ight) cr
& = { ext{Rs}}{ ext{.}}left( {frac{{75 imes 108}}{{100}}}
ight) cr
& = { ext{Rs}}{ ext{.81}} cr} $$