Profit And Loss - Study Mode
[#106] The price of a refrigerator and a television set are in the ratio 5 : 3. If the refrigerator costs Rs. 5500 more than the television set, then the price of the refrigerator is = ?
Correct Answer
(C) Rs. 13750
Explanation
Solution: $$eqalign{
& { ext{According to the question,}} cr
& frac{{{ ext{CP of Refrigerator}}}}{{{ ext{CP of Television }}}}left. { = frac{5}{3}}
ight}{ ext{2 unit }} cr
& { ext{2 unit}} = 5500 cr
& { ext{1 unit}} = frac{{5500}}{2} = 2750 cr
& 5{ ext{ units}} = 2750 imes 5 = 13750 cr
& { ext{Cost price of Refrigerator}} cr
& = { ext{Rs}}{ ext{.13750}} cr} $$
[#107] If books bought at prices from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs. 350. What is the greatest possible profit that might be made in selling 15 books ?
Correct Answer
(D) Rs. 3000
Explanation
Solution: Cost price of a book ranges between = Rs. 150 to 300 Selling price of a book ranges between = Rs. 250 to 350 For maximum profit cost price should minimum and Selling price should be maximum So, Cost price = 150 Selling price = 350 Profit = Selling price - Cost price = 350 - 150 = Rs. 200/book Total profit on 15 books = 200 × 15 = Rs. 3000
[#108] A person buys an article for Rs. p and sells it for Rs. q thereby gaining r% . The selling price in terms of cost price may be written as -
Correct Answer
(C) $$frac{{{ ext{p}}left( {100 + { ext{r}}}
ight)}}{{100}}$$
Explanation
Solution: $$eqalign{
& { ext{C}}{ ext{.P}}{ ext{.}} = { ext{Rs}}{ ext{. p}} cr
& { ext{Gain}} = { ext{r}}\% cr
& herefore { ext{S}}{ ext{.P}}{ ext{.}} = { ext{q}} cr
& = left( {100 + { ext{r}}}
ight)\% { ext{ of Rs}}{ ext{. p}} cr
& = frac{{{ ext{p}}left( {100 + { ext{r}}}
ight)}}{{100}} cr} $$
[#109] The owner of a furniture shop charges his customer 28% more than the cost price. If a customer paid Rs. 23680 for a dining table set, then what was the original price of the dining set ?
Correct Answer
(D) Rs. 18500
Explanation
Solution: $$eqalign{
& { ext{S}}{ ext{.P}}{ ext{.}} = { ext{Rs}}{ ext{. }}23680 cr
& { ext{Profit}} = 28\% cr
& herefore { ext{C}}{ ext{.P}}{ ext{.}} = { ext{Rs}}{ ext{.}}left( {frac{{100}}{{128}} imes 23680}
ight) cr
& ,,,,,,,,,,,,,,,, = { ext{Rs}}{ ext{. }}18500 cr} $$
[#110] An article marked at Rs. 540 is sold at Rs. 496.80 in an off - season offer. Then the rate of discount offered (in percent) is = ?
Correct Answer
(C) 8%
Explanation
Solution: $$eqalign{
& { ext{Discount}} cr
& = 540 - 496.80 cr
& = 43.2 cr
& { ext{Discount }}\% cr
& = frac{{43.2}}{{540}} imes 100 cr
& = 8\% cr} $$