Discount
- The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. The second discount rate is
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Marked price = Rs. 720
Discount = 10%
∴ After a discount of 10%,S.P. = Rs. 
720 × 90 
100
= Rs. 648
Final S.P. = Rs. 550.80
∴ Discount = Rs. (648 – 550.80) = Rs. 97.2
If the second discount be x%, then648 × x = 97.2 100 ⇒ x = 97.2 × 100 = 15% 648
Second method :
S.P. = Rs. 550.80, M.P. = Rs. 720
D1 = 10%, D2 = ?S.P. = M.P. 100 − D1 100 − D2 100 100 550.80 = 720 100 − 10 100 − D2 100 100 550.80 × 100 × 100 = 100 − D2 720 × 90
85 = 100 − D2
D2 = 100 − 85
D2 = 15%Correct Option: D
Marked price = Rs. 720
Discount = 10%
∴ After a discount of 10%,S.P. = Rs. 720 × 90 100
= Rs. 648
Final S.P. = Rs. 550.80
∴ Discount = Rs. (648 – 550.80) = Rs. 97.2
If the second discount be x%, then648 × x = 97.2 100 ⇒ x = 97.2 × 100 = 15% 648
Second method :
S.P. = Rs. 550.80, M.P. = Rs. 720
D1 = 10%, D2 = ?S.P. = M.P. 100 − D1 100 − D2 100 100 550.80 = 720 100 − 10 100 − D2 100 100 550.80 × 100 × 100 = 100 − D2 720 × 90
85 = 100 − D2
D2 = 100 − 85
D2 = 15%
- An item was sold for Rs. 3600 at 25% discount. Its marked price was
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C.P. of article = Rs. x (let).
According to the question,x × 75 = 3600 100 ⇒ x = 3600 × 100 = Rs. 4800 75
Second method :
Here,S.P. = Rs. 3600
D = 25%
M.P. = ?M.P. = S.P. × 100 100 − D M.P. = 3600 × 100 100 − 25 M.P. = 360000 75
= M.P. = Rs. 4800Correct Option: C
C.P. of article = Rs. x (let).
According to the question,x × 75 = 3600 100 ⇒ x = 3600 × 100 = Rs. 4800 75
Second method :
Here,S.P. = Rs. 3600
D = 25%
M.P. = ?M.P. = S.P. × 100 100 − D M.P. = 3600 × 100 100 − 25 M.P. = 360000 75
= M.P. = Rs. 4800
- A shopkeeper, in order to clear his old stock of T.V. sets, offers 12% discount on the T.V. sets. If the marked price of a T.V. set is Rs. 6500, the selling price of the T.V. set is:
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Rate of discount = 12%
∴ S.P. of TV set
= 6500 × (100 – 12)%= 6500 × 88 = Rs.5720 100
Second method :
Here, D = 12%,
M.P. = Rs. 6500, S.P. = ?M.P. = S.P. × 100 100 − D 6500 = S.P. × 100 100 − 12 S.P. = 6500 × 88 100
S.P. = Rs. 5720Correct Option: B
Rate of discount = 12%
∴ S.P. of TV set
= 6500 × (100 – 12)%= 6500 × 88 = Rs.5720 100
Second method :
Here, D = 12%,
M.P. = Rs. 6500, S.P. = ?M.P. = S.P. × 100 100 − D 6500 = S.P. × 100 100 − 12 S.P. = 6500 × 88 100
S.P. = Rs. 5720
- A seller gains 20% profit even after allowing 10% discount. If the amount of profit on a TV set is Rs. 750, then the marked price of the TV set is
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S.P. of TV set = Rs. 120 × 750 20
= Rs. 4500
If the marked price be Rs. x, thenx × 90 = 4500 100 ⇒ x = 4500 × 100 = Rs. 5000 90 Correct Option: B
S.P. of TV set = Rs. 120 × 750 20
= Rs. 4500
If the marked price be Rs. x, thenx × 90 = 4500 100 ⇒ x = 4500 × 100 = Rs. 5000 90
- Articles are marked at a price which gives a profit of 25%. After allowing a certain
discount the profit reduces to 12 1 %. The discount percent is 2
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Let the C.P. of each article be Rs. 100.
∴ Marked price = Rs. 125
On giving discount,
S.P. = Rs. 112.5
∴ Discount
= 125 – 112.5 = Rs. 12.5i.e., 12 1 % 2 Correct Option: C
Let the C.P. of each article be Rs. 100.
∴ Marked price = Rs. 125
On giving discount,
S.P. = Rs. 112.5
∴ Discount
= 125 – 112.5 = Rs. 12.5i.e., 12 1 % 2
