Profit And Loss - Study Mode

[#226] A person purchased 10 dozen pens at the rate of Rs. 4 per dozen. On checking, he found that 20 pens were not working. In order to earn 25% profit, he should sell the remaining pens each at -
Correct Answer

(C) 50 paise

Explanation

Solution: Total C.P. of (10 × 12) i.e., 120 pens = Rs. (4 × 10) = Rs. 40 Number of working pens = (120 - 20) = 100 Total selling price of 100 pens $$eqalign{
& = { ext{Rs}}{ ext{.}}left( {frac{{125}}{{100}} imes 40}
ight) cr
& = { ext{Rs}}{ ext{. }}50. cr
& herefore { ext{S}}{ ext{.P}}{ ext{.of each pen}} cr
& = { ext{Rs}}.left( {frac{{50}}{{100}}}
ight) cr
& = { ext{50 paise}}{ ext{}} cr} $$

[#227] Jacob bought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20% ?
Correct Answer

(C) Rs. 500

Explanation

Solution: $$eqalign{
& { ext{Let the C.P. be Rs. }}x cr
& { ext{Then, }}20\% { ext{ of }}x = 1100 cr
& Rightarrow frac{{20}}{{100}} imes x = 1100 cr
& Rightarrow x = 5500 cr
& { ext{C}}{ ext{.P}}. = { ext{Rs}}{ ext{. }}5500 cr} $$ Expenditure on repairs = 10% $$eqalign{
& { ext{Actual price}} cr
& = { ext{Rs}}.left( {frac{{100}}{{110}} imes 5500}
ight) cr
& = { ext{Rs}}{ ext{. }}5000. cr
& herefore { ext{Expenditure on repairs}} cr
& = { ext{Rs}}.left( {5500 - 5000}
ight) cr
& = { ext{Rs}}{ ext{. }}500 cr} $$

[#228] A person sells a table at a profit of 10% . If he had bought the table at 5% less cost and sold for Rs. 80 more, he would have gained 20% . The cost price of the table is = ?
Correct Answer

(C) Rs. 2000

Explanation

Solution: Let the CP 1 of Table = 100x Initial SP 1 = 100x + 10% of 100x = 100x + 10x = 110x Now, If He brought table at 5% discount. Therefore CP 2 = 95x Now SP 2 = 95x + 20% of 95x = 95x + 19x =114x According to question SP 2 - SP 1 = 80 ⇒ 114x - 110x = 80 ⇒ 4x = 80 ⇒ x = 20 Initial Cost of table = 100 × 20 = Rs. 2000

[#229] A radio is sold for Rs. 990 at a profit of 10% . What would have been the actual profit or loss on it had it been sold for Rs. 890 ?
Correct Answer

(A) Rs. 10 loss

Explanation

Solution: Selling price of a radio (SP) = Rs 990 profit (g) = 10% Let the cost price = CP $$eqalign{
& { ext{CP}} = frac{{{ ext{SP}} imes 100}}{{100 + { ext{g}}}} cr
& Rightarrow CP = frac{{990 imes 100}}{{100 + 10}} cr
& ,,,,,,,,,,,,,,,,, = frac{{990 imes 100}}{{110}} cr
& ,,,,,,,,,,,,,,,,, = { ext{Rs}}{ ext{.}},900 cr
& { ext{Now,}} cr
& { ext{CP}} = Rs.,900 cr
& { ext{SP}} = Rs.,890 cr
& { ext{CP}} > { ext{SP}} cr
& { ext{He}},{ ext{gets}},{ ext{loss}} cr
& = { ext{Rs}}{ ext{.}},900 - { ext{Rs}}{ ext{.}},890 cr
& = { ext{Rs}}{ ext{.}},10 cr} $$

[#230] A man sells an article at 10% loss. If he had sold it at Rs. 10 more, he would have gained 10% . The cost price of the article is = ?
Correct Answer

(A) Rs. 50

Explanation

Solution: Let the CP 1 of Article= 100x Initial SP 1 = 100x - 10% of 100x = 100x - 10x = 90x If He sold the Article 10% profit Now SP 2 = 100x + 10% of 100x = 100x + 10x =110x According to question SP 2 - SP 1 = 10 ⇒ 110x - 90x = 10 ⇒ 20x = 10 ⇒ x = $$frac{1}{2}$$ Initial Cost of Article = 100 × $$frac{1}{2}$$ = Rs. 50