Profit And Loss - Study Mode
[#201] The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively?
Correct Answer
(A) Rs. 19000, Rs. 32000
Explanation
Solution: 2 SP = 48640 SP = 24320 28% profit on A $$frac{{128{ ext{A}}}}{{100}} = 24320$$ A = 190 × 100 = 19000 24% loss on B $$frac{{76{ ext{B}}}}{{100}} = 24320$$ B = 320 × 100 = 32000
[#202] Left pan of a faculty balance weighs 100 grams more than its right pan. A shopkeeper keeps the weight measure in the left pan while buying goods but keeps it in the right pan while selling his goods. He uses only 1 kg weight measure. If he sells his goods at the listed cost price, what is his gain ?
Correct Answer
(D) $$frac{{200}}{{9}}$$%
Explanation
Solution: Let the C.P. of 1 kg goods be Rs. 1 Then, He buys 1100 g goods for Rs. 1 and sells 900 g goods for Rs. 1 ∴ C.P. of 1100 g goods = Rs. 1 ⇒ C.P. of 900 g goods $$eqalign{
& = { ext{Rs}}.left( {frac{1}{{1100}} imes 900}
ight) cr
& = { ext{Rs}}.frac{9}{{11}} cr} $$ S.P. of 900 g goods = Rs. 1 $$eqalign{
& { ext{Gain = Rs}}.left( {1 - frac{9}{{11}}}
ight) cr
& ,,,,,,,,,,,,,, = { ext{Rs}}{ ext{.}}frac{2}{{11}} cr
& herefore { ext{Gain }}\% cr
& = left( {frac{2}{{11}} imes frac{{11}}{9} imes 100}
ight)\% cr
& = frac{{200}}{9}\% cr} $$
[#203] A dishonest dealer sells the goods at 20% loss on cost price but uses 15% less weight. What is his percentage profit or loss ?
Correct Answer
(B) $$5frac{{15}}{{17}}$$ % loss
Explanation
Solution: $$eqalign{
& { ext{Gain/loss }}\% cr
& = left{ {left( {frac{{y - x}}{{100 - y}}}
ight) imes 100}
ight}\% cr
& = left{ {left( {frac{{15 - 20}}{{100 - 15}}}
ight) imes 100}
ight}\% cr
& = left( {frac{{ - 5}}{{85}} imes 100}
ight)\% cr
& = - frac{{100}}{{17}}\% cr
& = - 5frac{{15}}{{17}}\% cr} $$ Since it is -ve, hence it is a loss.
[#204] While selling to the retailer, a company allows 30% discount on the marked price of their products. If the retailer sells those products at marked price, his profit % will be = ?
Correct Answer
(D) $$42frac{6}{7}$$%
Explanation
Solution: Let the marked price = 100 units According to the question, [{ ext{100(MP)}}xrightarrow{{30\% { ext{ discount}}}}{ ext{70(SP)}}] xa0 xa0xa0 [ o ] CP of retailer Cost price of retailer = 70 Retailer sold at Marked price = 100 Profit = Marked price - Cost price = 100 - 70 = 30 units profit $$eqalign{
& herefore { ext{Profit }}\% = frac{{30}}{{70}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = 42frac{6}{7}\% cr} $$
[#205] A trader marked the price of a commodity so as to include a profit of 25% , but allow discount of 16% on the marked price. His actual profit will be = ?
Correct Answer
(C) 5%
Explanation
Solution: Let CP be Rs. 100. Then, marked price = Rs. 125 $$eqalign{
& { ext{SP}} = 84\% ,{ ext{of}},{ ext{Rs}}{ ext{.}},125 cr
& ,,,,,,,,, = { ext{Rs}}{ ext{.}},left( {frac{{84}}{{100}} imes 125}
ight) cr
& ,,,,,,,,, = { ext{Rs}}{ ext{.}},105 cr} $$ ∴ Profit = (105 - 100)% = 5%