Profit And Loss - Study Mode

[#366] Joseph's salary is reduced by 10% . In order to have his salary back to his original amount, it must be raised by = ?
Correct Answer

(B) $$11frac{1}{9}$$%

Explanation

Solution: $$eqalign{
& { ext{Let}},{ ext{income}} = 100 cr
& { ext{Reduce}},{ ext{income}} = 90 cr
& \% { ext{Required}} = frac{{10}}{{90}} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = frac{{100}}{9}\% cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = 11frac{1}{9}\% cr} $$

[#367] A shopkeeper sells two watches for Rs. 308 each. On one he gets 12% profit and on the other 12% loss. His profit or loss in the entire transaction was -
Correct Answer

(B) $$1frac{{11}}{{25}}$$ % loss

Explanation

Solution: $$eqalign{
& { ext{loss }}\% cr
& = {left( {frac{{{ ext{Common Loss and Gain}}\% }}{{10}}}
ight)^2}\% cr
& = {left( {frac{{12}}{{10}}}
ight)^2}\% cr
& = frac{{36}}{{25}}\% cr
& = { ext{1}}frac{{11}}{{25}}\% cr
& = { ext{1}}frac{{11}}{{25}}\% { ext{ loss}}{ ext{}} cr} $$

[#368] A man sells two flats at the rate of Rs. 1.995 lakhs each. On one he gains 5% and on the other, he loses 5% . His gain or loss percent in the whole transaction is -
Correct Answer

(A) 0.25% loss

Explanation

Solution: $$eqalign{
& { ext{Loss }}\% = {left( {frac{5}{{10}}}
ight)^2}\% cr
& ,,,,,,,,,,,,,,,,,,,, = {left( {0.5}
ight)^2}\% cr
& ,,,,,,,,,,,,,,,,,,,, = 0.25\% cr
& ,,,,,,,,,,,,,,,,,,,, = { ext{0}}{ ext{.25}}\% { ext{ loss}} cr} $$

[#369] The list price of an article is Rs. 900. It is available at two successive discounts of 20% and 10% . The selling price of the article is = ?
Correct Answer

(B) Rs. 648

Explanation

Solution: $$eqalign{
& 20\% = frac{1}{5},,,10\% = frac{1}{{10}} cr
& { ext{MP}},,,,,,{ ext{SP}} cr
& ,,,{ ext{5}},,,,,,,,,,,{ ext{4}} cr
& frac{{10,,,,,,,,,,9}}{{50,,,:,,,36}} cr
& 50{ ext{ units}} = 900 cr
& { ext{36 units}} = frac{{900}}{{50}} imes 36 cr
& ,,,,,,,,,,,,,,,,,,,, = 648 cr} $$

[#370] A dishonest grocer sells rice at a profit of 10% and uses weight which are 20% less than the marked weight. The total gain earned by him will be = ?
Correct Answer

(A) 37.5%

Explanation

Solution: According to the question, Grocer use 20% less weight = 1000 - 200 = 800 gm. $$eqalign{
& { ext{The profit }}\% cr
& = frac{{200}}{{800}} imes 100 cr
& = 25\% cr
& { ext{Then total profit }} cr
& = 10 + 25 + frac{{25 imes 10}}{{100}} cr
& = 37.5\% cr} $$