Profit And Loss - Study Mode
[#156] A tradesman marks his goods 30% above the C.P. If he allows a discount of $$6frac{1}{4}$$ %, then his gain percent is -
Correct Answer
(A) $$21frac{7}{8}$$%
Explanation
Solution: $$eqalign{
& { ext{Let C}}{ ext{.P}}{ ext{. be Rs}}{ ext{.100}}{ ext{.}} cr
& { ext{Then, }} cr
& { ext{marked price = Rs}}{ ext{.130}}{ ext{.}} cr
& { ext{Selling Price}} cr
& { ext{ = }}left( {100 - frac{{25}}{4}}
ight)\% { ext{ of Rs}}{ ext{.130}} cr
& { ext{ = Rs}}{ ext{.}}left( {frac{{375}}{{400}} imes 130}
ight) cr
& = { ext{Rs}}{ ext{.121}}{ ext{.875}}{ ext{.}} cr
& herefore { ext{ Profit }}\% cr
& { ext{ = }}left( {121.875 - 100}
ight)\% cr
& { ext{ = 21}}{ ext{.875}}\% cr
& { ext{ = }}frac{{21875}}{{1000}}{ ext{ }}\% cr
& { ext{ = 21}}frac{7}{8}\% cr} $$
[#157] A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is -
Correct Answer
(A) 45 : 56
Explanation
Solution: Let the printed price be Rs. 100 S.P. = 90% of Rs. 100 = Rs. 90 $$eqalign{
& { ext{C}}{ ext{.P}}{ ext{. = Rs}}{ ext{.}}left( {frac{{100}}{{112}} imes 90}
ight) cr
& ,,,,,,,,,,,,, = { ext{Rs}}{ ext{.}}frac{{4500}}{{56}} cr
& herefore { ext{ CP}}:{ ext{Printed price}} cr
& { ext{ = }}frac{{4500}}{{56}}:100 cr
& = 45:56 cr} $$
[#158] Pawan kaul earns 15 percent on an investment but loses 10 percent on another investment. If the ratio of two investments is 3 : 5, then the combined loss percent is = ?
Correct Answer
(D) $$ frac{5}{8}\% $$
Explanation
Solution: Let the total first investment is 300 and the second is 500. Total Investment = 300 + 500 = 800 15% profit on 1 st investment = 300 + 15% of 300 = 300 + 45 = 345 10% loss on 2 nd investment = 500 - 10% of 500 = 500 - 50 = 450 Now total amount = 345 + 450 = 795 Total loss = 800 - 795 = 5 % loss = $$frac{5}{{800}} imes 100 = frac{5}{8}\% $$ ∴ % loss = $$ frac{5}{8}\% $$
[#159] A trader sells two bullocks for Rs. 8400 each, neither losing nor gaining in total. If he sold of one of the bullocks at a gain of 20%, the other is sold at a loss of = ?
Correct Answer
(C) $${ ext{14}}frac{2}{7}$$%
Explanation
Solution: Total selling price of two bullocks = 8400 + 8400 = 16800 ∴ Cost price of first bullock = 8400 × $$frac{{100}}{{120}}$$ = Rs. 7000 According to the question, there is no profit or loss. ∴ Cost price of second bullock = 16800 – 7000 = Rs. 9800 Selling price of second bullock = Rs. 8400 ∴ Loss = 9800 – 8400 = Rs. 1400 ∴ Percentage loss on second bullock $$eqalign{
& = frac{{1400}}{{9800}} imes 100\% cr
& = frac{{100}}{7}\% cr
& = 14frac{2}{7}\% cr} $$
[#160] By selling an article at $$frac{3}{4}$$ of selling price, a trader incurred a loss of 10%. The Profit/loss percentage, when it is sold at the original selling price, is = ?
Correct Answer
(D) 20% profit
Explanation
Solution: $$eqalign{
& { ext{Let cost price of the article}} = 100 cr
& 10\% ,{ ext{loss}} cr
& { ext{Therefore}},S{P_1} = 100 - 10 = 90 cr
& frac{{{ ext{Original Selling Pric}}{{ ext{e}}_2}}}{{{ ext{Reduced Selling Pric}}{{ ext{e}}_1}}} = frac{4}{3} cr
& 3{ ext{ units}} = 90 cr
& { ext{1 unit}} = 30 cr
& { ext{4 units}} = 30 imes 4 = 120 cr
& herefore { ext{Profit }}\% = frac{{20}}{{100}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = 20\% cr} $$