Profit And Loss - Study Mode

[#326] Raghuvir purchased 10 calculators and 16 watches for Rs. 56100 and sold them so as to earn an overall profit of 20%. At what total price should he sell 15 calculators and 24 watches together so as to earn the same percentage profit?
Correct Answer

(A) Rs. 100980

Explanation

Solution: Calculators = 10
Watches = 16 Total Item = 10 + 16 = 26 Total Cost price = Rs. 56,100 Average price of Each item. $$frac{{56100}}{{26}}$$xa0 = Rs. 2157.69 Second Time total item = 15 + 24 = 39 So, Total cost price of 39 items = 2157.69 × 39 = 84,150 thus, the selling price of 39 items with 20% profit, = 84,150 + 20% of 84,150 = Rs. 84,150 + 16,830 = Rs. 100,980

[#327] Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
Correct Answer

(B) $$5frac{5}{{11}}$$%

Explanation

Solution: Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500 Selling Price (S.P.) = Rs. 5800 Gain = (S.P.) - (C.P.) = Rs. (5800 - 5500) = Rs. 300 $$eqalign{
& { ext{Gain}},\% cr
& = left( {frac{{300}}{{5500}} imes 100}
ight)\% cr
& = 5frac{5}{{11}}\% cr} $$

[#328] The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Correct Answer

(B) 16

Explanation

Solution: Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x S.P. of x articles = Rs. 20 Profit = Rs. (20 - x ) $$eqalign{
& herefore {frac{{20 - x}}{x} imes 100 = 25} cr
& Rightarrow 2000 - 100x = 25x cr
& 125x = 2000 cr
& Rightarrow x = 16 cr} $$

[#329] If selling price is doubled, the profit triples. Find the profit percent.
Correct Answer

(B) 100

Explanation

Solution: $$eqalign{
& { ext{Let}},{ ext{C}}{ ext{.P}}{ ext{.}},{ ext{be}},{ ext{Rs}}{ ext{.}},x,{ ext{and}},{ ext{S}}{ ext{.P}}{ ext{.}},{ ext{be}},{ ext{Rs}}.,y cr
& { ext{Then}},,3left( {y - x}
ight) = left( {2y - x}
ight) cr
& Rightarrow y = 2x cr
& { ext{Profit}} = Rs.,left( {y - x}
ight) cr
& ,,,,,,,,,,,,,,,,,, = Rs.,left( {2x - x}
ight) cr
& ,,,,,,,,,,,,,,,,,, = Rs.,x cr
& herefore { ext{Profit}},\% cr
& = left( {frac{x}{x} imes 100}
ight)\% cr
& = 100\% cr} $$

[#330] In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Correct Answer

(B) 70%

Explanation

Solution: Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420 New C.P. = 125% of Rs. 100 = Rs. 125 New S.P. = Rs. 420 Profit = Rs. (420 - 125) = Rs. 295 ∴ Required percentage $$eqalign{
& = left( {frac{{295}}{{420}} imes 100}
ight)\% cr
& = frac{{1475}}{{21}}\% cr
& = 70\% ,left( {{ ext{approximately}}}
ight) cr} $$