Profit And Loss - Study Mode
[#231] By selling a bicycle for Rs. 2850, a shopkeeper gains 14% . If the profit is reduced to 8% then the selling price will be -
Correct Answer
(B) Rs. 2700
Explanation
Solution: Let the new S.P. be Rs. x then, 114 : 2850 = 108 : x $$eqalign{
& Rightarrow x = left( {frac{{2850 imes 108}}{{114}}}
ight) cr
& Rightarrow x = 2700 cr} $$
[#232] The difference between the selling price and cost price of an article is Rs. 210. If the profit percent is 25, then the selling price of the article is = ?
Correct Answer
(B) Rs. 1050
Explanation
Solution: $$eqalign{
& { ext{Profit}}\% = 25 cr
& 25\% = frac{1}{4} cr
& { ext{CP}},,,,,,,,,,,,,,,,,,{ ext{SP}} cr
& ,,,4,,,,,,,,,,,,,,,,,,,,,,5 cr
& ,,,,1 - - - 210 cr
& herefore { ext{SP}} = 210 imes 5 cr
& ,,,,,,,,,,,,,,, = 1050 cr} $$ Alternate Solution : Let Cost price is 100x Then Selling price is 125x According to the question, Selling price - Cost Price = 210 ⇒ 125x - 100x = 210 ⇒ x = $$eqalign{ frac{210}{25} cr }$$ So the Selling price → 125x = 125 × $$eqalign{ frac{210}{25} cr }$$ = Rs. 1050
[#233] If selling price of an article is reduced by 60%, then there is a loss of 10% on cost price. The initial profit percent was = ?
Correct Answer
(D) 125%
Explanation
Solution: Let the initial SP = 100 After reducing 60% SP = 100 - 60 = 40 According to the question if the product is sold on 40 there is a loss of 10%. Then CP = $$frac{{40}}{{90}} imes 100 = frac{{400}}{9}$$ Profit = $$100 - frac{{400}}{9} = frac{{500}}{9}$$ ∴ Profit % = $$frac{{frac{{500}}{9}}}{{frac{{400}}{9}}} imes 100 = 125\% $$
[#234] If the cost price is 95% of the selling price, what is the profit percent = ?
Correct Answer
(D) 5.26%
Explanation
Solution: According to the question, $$eqalign{
& { ext{C}}{ ext{.P}}{ ext{.}} = frac{{95}}{{100}}{ ext{S}}{ ext{.P}}{ ext{.}} cr
& frac{{{ ext{C}}{ ext{.P}}}}{{{ ext{S}}{ ext{.P}}{ ext{.}}}}{ ext{ = }}frac{{95}}{{100}}{ ext{ = }}left. {frac{{19}}{{20}}}
ight
angle { ext{1 unit profit}} cr
& { ext{Profit }}\% = frac{1}{{19}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,, = 5.26\% { ext{ }} cr} $$
[#235] Successive discounts of 10%,12% and 15% amount to a single discount of -
Correct Answer
(A) 32.68%
Explanation
Solution: Let marked price be Rs. 100 Then, S.P. = 85% of 88% of 90% of Rs. 100 $$eqalign{
& = { ext{Rs}}{ ext{.}}left( {frac{{85}}{{100}} imes frac{{88}}{{100}} imes frac{{90}}{{100}} imes 100}
ight) cr
& = { ext{Rs}}.67.32 cr} $$ ∴ Single Discount = (100 - 67.32)% = 32.68%