Profit And Loss - Study Mode

[#261] A shopkeeper marks his goods at such a price that after allowing a discount of 12.5 % on the marked price, he still earns a profit of 10%. The marked price of an article which costs him Rs. 4900 is -
Correct Answer

(C) Rs. 6160

Explanation

Solution: $$eqalign{
& { ext{C}}{ ext{.P}}{ ext{. = Rs}}{ ext{. 4900}}{ ext{.}} cr
& { ext{S}}{ ext{.P}}{ ext{. = 110}}\% { ext{ of Rs}}{ ext{.4900}} cr
& { ext{ = Rs}}{ ext{.}}left( {frac{{110}}{{100}} imes 4900}
ight) cr
& = { ext{Rs}}{ ext{. 5390}}{ ext{.}} cr
& { ext{Let marked price be Rs}}{ ext{.}}x cr
& { ext{Then,}} cr
& { ext{ = 87}}frac{1}{2}\% { ext{ of }}x{ ext{ = 5390}} cr
& Rightarrow left( {frac{{175}}{2} imes frac{1}{{100}} imes x}
ight) = 5390 cr
& Rightarrow x = left( {frac{{5390 imes 8}}{7}}
ight) = 6160 cr
& herefore { ext{Marked price}} = { ext{Rs}}{ ext{.6160}} cr} $$

[#262] A man buys a chair and table for Rs. 6000. He sells the chair at a loss of 10% and the table at gain of 10%. He still gains Rs. 100 on the whole. Cost price of chair is:
Correct Answer

(A) Rs. 2500

Explanation

Solution: If the CP of the chair be Rs. x then,
Total SP = $$frac{{{ ext{x}} imes 90}}{{100}}$$xa0 + $$left( {left( {6000 - { ext{x}}}
ight) imes frac{{110}}{{100}}}
ight)$$ Or, 9x + 66000 - 11x = 61000 Or, 2x = 66000 - 61000 = 5000 Or, x = Rs. 2500

[#263] Two successive price increase of 10% and 10% of an article are equivalent to a single price increase of:
Correct Answer

(C) 21%

Explanation

Solution: 100 --- 10%↑ → 110 --- 10%↑ → 121
Equivalent price increase = 21%

[#264] A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres? (revenue per passenger is same)
Correct Answer

(C) 100%

Explanation

Solution: Assume the cost price = 100 and selling price = 120 Then, when price of petrol is reduced Cost price become 60 and selling price = 160 Profit increased = 100%

[#265] A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these maneuvers?
Correct Answer

(C) 20%
(E) 20%

Explanation

Solution: He sells only 900 grams when he takes the money for 1 kg. and he sells at a 8% profit (20% markup, 10% discount) Hence, his selling price is Rs. 108 for 900 grams % profit = $$frac{{18}}{{90}} imes 100$$ xa0 = 20%