Profit And Loss - Study Mode
[#316] Find the difference of amount if 40% discount is given on Rs. 500 and two consecutive discount 30% and 10% are given on the same amount.
Correct Answer
(A) Rs. 15
Explanation
Solution: 40% discount on 500 = $$frac{{40 imes 500}}{{100}}$$xa0 = Rs. 200
Two successive discount on 500,
= 30% of 500 + 10% of (500 - 30% of 500)
= 150 + 10% of 350
= 150 + 35 = Rs. 185
Difference in Discount = 200 - 185 = Rs. 15
[#317] A grocer professes to sell goods at the cost price but uses false weights. He gains $$frac{{100}}{9}$$% in this manner. He uses a weight of
Correct Answer
(B) 900gms
Explanation
Solution: $$eqalign{
& { ext{Gain}}\% cr
& = {frac{{ {{ ext{True}},{ ext{Weight}} - { ext{False}},{ ext{Weight}}} }}{{{ ext{False}},{ ext{Weight}}}}} imes 100 cr
& frac{{100}}{9} = {frac{{ {1 - x} }}{x}} imes 100 cr
& frac{{ {1 - x} }}{x} = frac{1}{9} cr
& 10x = 9 cr
& x = 0.9,kg = 900,gms cr} $$
[#318] Find the difference of amount if 40% discount is given on Rs. 500 and two consecutive discounts 30% and 10% are given on the same amount.
Correct Answer
(A) Rs. 15
Explanation
Solution: 40% discount on 500 = 200
Two consecutive discount on 500: 500 == 30% down ⇒ 350 == 10% down ⇒ 315 Total discount = 150 + 35 = 185 So, difference = 200 - 185 = Rs. 15
[#319] A trader marks his goods 40% above cost price and allows a discount of 25%. The profit he makes is:
Correct Answer
(C) 5%
Explanation
Solution: Let original CP = Rs. 100 Then, the Marked Price = 40% of 100 + 100 = 140 SP = 140 - 25% of 140 = 105 %Profit = $$frac{{5 imes 100}}{{100}} = 5\% $$ Net Graphic Change Method: 100 == 40% UP ⇒ 140 == 25% discount ⇒ 105
So, % Profit = 5%
[#320] With a 5% discount on the cost of sugar a buyer could purchase 2 kg more sugar for Rs. 608. Selling Price of Sugar is:
Correct Answer
(A) Rs. 15.20
Explanation
Solution: $$eqalign{
& { ext{Let Initial Price of sugar was }}X. cr
& { ext{After Discount of }}5\% , cr
& { ext{the price of the sugar become}}, cr
& = X - 5\% ,of,X cr
& = X - {frac{{5X}}{{100}}} cr
& = frac{{ {100X - 5X} }}{{100}} cr
& = frac{{95X}}{{100}} cr
& { ext{Amount of sugar now,}} cr
& { ext{Buyer gets in }}Rs.608, cr
& = frac{{608}}{{ {frac{{95X}}{{100}}} }} cr
& = frac{{ {608 imes 100} }}{{95}} cr
& { ext{Amount of sugar he gets - }} cr
& { ext{before the discount,}} cr
& = frac{{608}}{X} cr
& { ext{Now,}},{ ext{According}},{ ext{to}},{ ext{question}}, cr
& frac{{608}}{{ {frac{{95X}}{{100}}} }} - frac{{608}}{x} = 2 cr
& { ext{On}},{ ext{Solving}} cr
& X = Rs.,16 cr
& { ext{After discount price become}} cr
& = 16 - 5\% ,of,16 cr
& = Rs.,15.20 cr} $$