Profit And Loss - Study Mode

[#421] The marked price of a radio is 20% more than its cost price. If a discount of 10% is given on the marked price, the gain per cent is:
Correct Answer

(D) 8

Explanation

Solution: Let CP = 100 Then, MP = 100 + 20% of 100 = 120 Now, SP = 120 - 10% of 120 = 108 Gain = 108 - 100 = 8 %Gain = $$frac{{8 imes 100}}{{100}}$$xa0 = 8% Short-cut 100(CP) == 20%(up) ⇒ 120(MP) == 10%(disc.) ⇒ 108 % gain = 8%

[#422] A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same s the cost price of 1 kg of sugar. What is his gain percent?
Correct Answer

(A) $$5 {frac{5}{{19}}} \% $$

Explanation

Solution: $$eqalign{
& { ext{Sell}},{ ext{sugar}} cr
& = 950g,{ ext{instead}},{ ext{of}},1000g cr
& { ext{Profit}},{ ext{in}},{ ext{sugar}} cr
& = 1000 - 950 = 50g cr
& { ext{Now}},,\% ,{ ext{profit}} cr
& = frac{{ {50 imes 100} }}{{950}} = 5 {frac{5}{{19}}} \% cr
& cr
& { ext{Short - cut}}: cr
& \% ,{ ext{profit}} cr
& = {frac{{{ ext{Goods}},{ ext{lef}}t}}{{{ ext{Goods}},{ ext{sold}}}}} imes 100 cr
& = {frac{{50}}{{950}}} imes 100 cr
& = 5 {frac{5}{{19}}} \% cr} $$

[#423] After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark on his goods?
Correct Answer

(A) 28.56%

Explanation

Solution: Let the CP be Rs. 100, then SP = 100 + 14.28% of 100 = Rs. 114.28 (As Profit = 14.28%) This profit is arrived after giving discount of 11.11% on the marked price. Let the marked price be x X - 11.11% of X = 114.28 X × $$frac{{100 - 11.11}}{{100}}$$xa0 = 114.28 X = $$frac{{114.28 imes 100}}{{8889}}$$ xa0 = Rs. 128.56, which is more than 28.56% of CP.

[#424] A dealer buys dry fruits at Rs. 100, Rs. 80, and Rs. 60 per kilogram. He mixes them in the ratio 3:4:5 by weight and sells at a profit of 50%. At what price per kilogram does he sell the dry fruits?
Correct Answer

(D) None of these

Explanation

Solution: Let the dealer buys 3 kg, 4 kg and 5 kg. Price of total dry fruits = 3 × 100 + 4 × 80 + 5 × 60 = Rs. 920 SP = 920 + 50% of 920 = 1380 Hence, Price of mix dry fruits per kg = $$frac{{1380}}{{12}}$$ = Rs. 115

[#425] The cost price of an article is 80% of its marked price for sale. How much per cent does the tradesman gain after allowing a discount of 12%?
Correct Answer

(C) 10%

Explanation

Solution: Let the marked price = Rs. 100 Then the cost price = 80% of 100 = Rs. 80 After allowing 12% discount on MP, SP become = Rs. 88. % profit = $$frac{{8 imes 100}}{{80}}$$xa0 = 10%