Profit And Loss - Study Mode

[#301] A dealer marked the price of an item 40% above the cost price. He allowed two successive discounts of 20% and 25% to a particular customer. As a result he incurred a loss of Rs. 448. At what price did he sell the item to the said customer?
Correct Answer

(B) Rs. 2352

Explanation

Solution: Let the cost price be Rs. 100 Then, CP = 100 means MP = 140 20% discount = 112 25% discount (SP = Rs. 84) If Rs. 16 loss, cost price Rs. 100 If Rs. 448 loss, cost price = $$frac{{100}}{{16}} imes 448$$ = 28 x 100 = Rs. 2800 Selling Price = $$frac{{2800 imes 84}}{{100}}$$ xa0 = Rs. 2352

[#302] The marked price is 10% higher than the cost price. A discount of 10% is given on the marked price. In this kind of sale, the seller = ?
Correct Answer

(D) Loses 1%

Explanation

Solution: Let the cost price of article be Rs. 100 ∴ Marked price = Rs. 110 Discount % on marked price = 10% $$eqalign{
& { ext{Selling price}} cr
& = frac{{110 imes 90}}{{100}} cr
& = Rs.99,,i.e.,1\% ,,loss cr} $$

[#303] A shopkeeper allows 25% discount on his advertised price and to make a profit 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000?
Correct Answer

(B) Rs. 40000

Explanation

Solution: $${ ext{Let Cost price}} = 100$$ [x08egin{gathered}
{ ext{CP }},,,,,,,,,,,,,,,,,,,{ ext{SP}},,,,,,,,,,,,,,,,,{ ext{ MP}} hfill \
100,,xrightarrow[{{ ext{Profit}}}]{},,125,,xleftarrow[{ - 25\% }]{}x hfill \
end{gathered} ] $$eqalign{
& { ext{Profit}} = 125 - 100 = 25{ ext{ units}} cr
& { ext{MP}} = x = frac{{75}}{{100}} cr
& ,,,,,,,,,,,,,,,,,,,,, = 125 cr
& { ext{MP}} = x = frac{{500}}{3}{ ext{ units}} cr
& x08ecause { ext{ 25 units}} = 6000 cr
& herefore { ext{MP}} = frac{{500}}{3}{ ext{ units}} cr
& { ext{ = }}frac{{500}}{3} imes frac{{6000}}{{25}} cr
& = { ext{Rs}}{ ext{.}},40000 cr} $$

[#304] Due to 25% fall in the rate of eggs one can buy 2 dozen eggs more than before by investing Rs. 162. The the original rate per dozen of the eggs is = ?
Correct Answer

(C) Rs. 27

Explanation

Solution: 25% fall we get 2 dozen eggs extra ∴ 25% = 2 dozen 100% = 8 dozen (new quantity) So, old quantity = 8 - 2 = 6 dozen $${ ext{Rate}} = frac{{162}}{6} = { ext{Rs}}{ ext{. }}27$$

[#305] Last year Mr. A bought two paintings. This year he sold them for Rs. 20000 each. On one, he made a 25% profit and of the other he had a 25% loss. Then his net profit or loss is = ?
Correct Answer

(A) He lost more than Rs. 2000

Explanation

Solution: $$25\% = frac{1}{4}$$ Cost Price Selling Price Profit/Loss I 4 x3 5 x3 3 II 4 x5 3 x5 -5 [ Selling price are same ] Selling price = 15 units, (Profit / Loss) = 3 - 5 = -2 units (loss) ∴ 15 unit = 20000 (Selling price) $$eqalign{
& 1{ ext{ unit}} = frac{{20000}}{{15}} cr
& ,,,,,,,,,,,,,,, = 1333.33 cr} $$ Loss = 2 units = 1333.33 × 2 = 2666.66 So, loss more than Rs. 2000