Profit And Loss - Study Mode

[#251] Ravi buys some toffees at 2 for a rupee and sells them at 5 for a rupee. His loss percent is = ?
Correct Answer

(D) 60%

Explanation

Solution: Let the number of toffees bought be (2 x 5) = 10 C.P. of 10 toffees $$ = { ext{Rs}}{ ext{.}},left( {frac{1}{2} imes 10}
ight) = { ext{Rs}}{ ext{.}},5$$ S.P. of 10 toffees $$ = { ext{Rs}}{ ext{.}},left( {frac{1}{5} imes 10}
ight) = { ext{Rs}}{ ext{.}},2$$ $$eqalign{
& { ext{Loss}}\% = left( {frac{3}{5} imes 100}
ight)\% cr
& ,,,,,,,,,,,,,,,,,, = 60\% cr} $$

[#252] The price of an article by 30% and then two successive discounts of 10% each are allowed. Ultimately, the price of the article is -
Correct Answer

(C) Increased by 5.3%

Explanation

Solution: Let the original price be Rs. 100 Then, Marked price = Rs. 130 Final price = 90% of 90% of Rs. 130 $$eqalign{
& { ext{ = Rs}}{ ext{.}}left( {frac{{90}}{{100}} imes frac{{90}}{{100}} imes 130}
ight) cr
& = { ext{Rs}}{ ext{.105}}{ ext{.30}}{ ext{}} cr} $$ ∴ Increase in price = (105.30 - 100)% = 5.3%

[#253] A sells a car priced at Rs. 36000. He gives a discount of 8% on the 1 st Rs. 20000 and 5% on the remaining Rs. 16000 B also sells a car of the same make, period at Rs. 36000. He gives a discount of 7% on the total price. Calculate the actual price charged by A and B for the cars =
Correct Answer

(D) A = Rs. 33600, B = Rs. 33480

Explanation

Solution: $$eqalign{
& { ext{Total discount by A}} cr
& = 20000 imes frac{8}{{100}} + 16000 imes frac{5}{{100}} cr
& = 1600 + 800 cr
& = { ext{Rs}}{ ext{. 2400}} cr
& { ext{Selling price of A}} cr
& = 36000 - 2400 cr
& = { ext{Rs}}.33600 cr
& { ext{Selling price of B}} cr
& = 36000 imes frac{{100 - 7}}{{100}} cr
& = 36000 imes frac{{93}}{{100}} cr
& = { ext{Rs}}{ ext{. 33480}} cr} $$

[#254] A person buys a bag at 25% discount on its original price. After few days, he sells it to his friend at 40% increase on the original price. What is his profit percentage (approx) ?
Correct Answer

(C) 87%

Explanation

Solution: Let original price is 100 SP 1 = 75 SP 2 = 140 $$eqalign{
& { ext{Profit }}\% = frac{{140 - 75}}{{75}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,, = frac{{65}}{{75}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,,, = 87\% cr} $$

[#255] A loss of 20% gets converted into a profit of 15% when the selling price of an article is increased by Rs. 70. Find the cost price of the article = ?
Correct Answer

(C) Rs. 200

Explanation

Solution: $$eqalign{
& { ext{Let selling price}} = { ext{100}} cr
& underbrace {mathop {{ ext{Loss}}}limits_{80} ,,,,,,,,mathop {{ ext{Profit}}}limits_{115} }_{{ ext{Selling price }}35} cr
& { ext{35}} o { ext{70}} cr
& { ext{1}} o frac{{70}}{{35}} = 2{ ext{ }} cr
& herefore { ext{Cost price}} = 100 imes 2 cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = { ext{Rs}}{ ext{. }}200 cr} $$