True Discount - Study Mode

[#51] If a person purchases a shirt, he gets 6% discount. However, if he purchases two shirts, he gets 5% on the first and 8% on the second. If the price paid by the person for two shirts is Rs. 925, then what will be the marked price of each shirts ?
Correct Answer

(A) Rs. 494

Explanation

Solution: Let marked price = 100x, then by statement 95x + 92x → selling price of both $$eqalign{
& Rightarrow 187x o 925 cr
& Rightarrow x o frac{{925}}{{187}} = 4.94 cr
& { ext{Marked price }} cr
& { ext{ = 4}}{ ext{.94}} imes { ext{100 }} cr
& { ext{ = Rs}}{ ext{. 494}} cr} $$

[#52] The selling price of an article is Rs. 1920 and the discount given is 4%. The marked price of the article is = ?
Correct Answer

(B) Rs. 2000

Explanation

Solution: Let marked price = Rs. x Selling price after 4% discount $${ ext{ = Rs}}{ ext{.}}frac{{96x}}{{100}}$$ $$eqalign{
& herefore frac{{96x}}{{100}} = 1920 cr
& Rightarrow x = frac{{1920 imes 100}}{{96}} cr
& Rightarrow x = { ext{Rs. 2000}} cr} $$

[#53] If an electricity bill is paid before due date, one gets a reduction of 4% on the amount of the bill. By paying the bill before due date a person got a reduction of Rs. 13. The amount of his electricity bill was = ?
Correct Answer

(C) Rs. 325

Explanation

Solution: Let the amount of bill = Rs. x According to the question, $$eqalign{
& Rightarrow frac{{4x}}{{100}} = 13 cr
& x = frac{{13 imes 100}}{4} cr
& x = { ext{Rs}}{ ext{. 325}} cr} $$ Alternate : Let the amount of bill = 100 units 4% of 100 units = 4 units $$eqalign{
& herefore ,{ ext{ 4 units}} = { ext{ 13}} cr
& Rightarrow ,{ ext{1 unit}} = frac{{13}}{4} cr
& Rightarrow 100,{ ext{units = }}frac{{13}}{4} imes 100 cr
& ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, = { ext{Rs}}{ ext{. 325}} cr} $$

[#54] The single discount equal to three consecutive discounts of 10%, 12% and 5% ?
Correct Answer

(C) 24.76%

Explanation

Solution: Let the marked price Rs. 100 $$eqalign{
& { ext{Final selling price}} cr
& { ext{ = 100}} imes frac{{90}}{{100}} imes frac{{88}}{{100}} imes frac{{95}}{{100}} cr
& { ext{ = Rs}}{ ext{. 75}}{ ext{.24 }} cr
& { ext{Net discount }} cr
& { ext{ = }}left( {100 - 75.24}
ight) cr
& { ext{ = 24}}{ ext{.76}}\% cr} $$ Alternate : Single equivalent discount for 10% and 12% $$eqalign{
& = left( {10 + 12 - frac{{10 imes 12}}{{100}}}
ight)\% cr
& = 20.8\% cr} $$ Single equivalent discount for 20.8% and 5% $$eqalign{
& = left( {20.8 + 5 - frac{{20.8 imes 5}}{{100}}}
ight)\% cr
& = 24.76\% cr} $$

[#55] The difference between discount of 35% and two successive discount of 20% on a certain bill was 22, the amount of the bill is = ?
Correct Answer

(D) Rs. 2200

Explanation

Solution: 1st discount = 35% Single equivalent discount of 20% each $$eqalign{
& = left( {20 + 20 - frac{{20 imes 20}}{{100}}}
ight)\% cr
& = { ext{ }}36\% { ext{ }} cr
& { ext{Difference}} cr
& = left( {36\% - 35\% }
ight) cr
& = 1\% cr} $$ Let the amount of the bill Rs. x $$eqalign{
& herefore frac{1}{{100}}x = 22 cr
& x = { ext{Rs}}{ ext{. }}2200 cr} $$