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CDS Exam ELEMENTARY MATHEMATICS Study Material

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Percentage Discount

The single discount equivalent to two successive discount of10% and 20% is equal

a) 30%
b) 28%
c) 10%
d) 38%

✔Answer

✔Solution

Correct Answer Is : 28%

Solution Is : Required discount =(a+ b-(ab/100))% =(10+20-(1020/100))% =(30-2)% 28%

If 90% of x is 315km , then the value of x is

a) 325km
b) 350km
c) 405km
d) 340km

✔Answer

✔Solution

Correct Answer Is : 350km

Solution Is : 90% of x=315 x(90/100)=315 x=(315100/90) =350km

Mr. A spent 78% of his monthly income and save the rest. If his annual saving Rs 22440 his monthly income is

a) 7800
b) 8500
c) 9700
d) 10125

✔Answer

✔Solution

Correct Answer Is : 8500

Solution Is : Let monthly income of Mr. A=x Saving of Mr. A =(100-78)% of x=22% of x 22% of x =(22440/12) (monthly saving) 100% of x=(1870*100/22) =Rs 8500

A shopkeeper, in order to clear his old stock of TV sets, offers 12% discount on the TV sets. If the marked price of TV set is 6500, the selling price of the TV set is

a) 5700
b) 5720
c) 5400
d) 6000

✔Answer

✔Solution

Correct Answer Is : 5720

Solution Is : Marked price of TV set 6500, discount = 12% We know that, Marked Price - Discount = Selling Price Selling Price = 6500 - 6500 * 12/100 = 6500 - 65 * 12 =6500 - 780 = 5720

A dealer marks his goods 20% above cost price and allows a discount of 10% to his customers. His gain percentage is

a) 9%
b) 6%
c) 8%
d) 7%

✔Answer

✔Solution

Correct Answer Is : 8%

Solution Is : Let the cost price = 100 According to the question, A dealer marks his goods 20% above cost price. Marked price = 100 + 20/100 = 100 + 20 = 120 The dealer allows a discount of 10% to his customers. We know that, MP (marked price )- Discount = Selling price (SP) 120 - 10% of 120 = sp, 120-12=SP Selling Price = 108 Gain = Selling Price - Cost Price = 108 - 100 = 8 Gain percent = Gain/Cost Price * 100 = 8/100 * 100 = 8%

The college election, a candidate secured 62% of the votes and is elected by a margin of 144 votes. The total number of votes polled is

a) 600
b) 800
c) 1200
d) 925

✔Answer

✔Solution

Correct Answer Is : 600

Solution Is : A candidate secured 62% of the votes. Remaining votes = 100% - 62% Candidate is won by a margin of 144 votes. So, 162% - 38% = 144, 24% = 144 1% = 144/24, 100%=144/24*100 = 600.

A seller increases the cost price of an article by 30% and fixed the marked price as Rs. 286. But during sale he gave 10% discount to the purchaser. The percentage of profit will be

a) 10%
b) 15%
c) 20%
d) 17%

✔Answer

✔Solution

Correct Answer Is : 17%

Solution Is : A seller increases the cost price of an article by 30% and fixed the marked price as Rs. 286. But during sale he gave 10% discount to the purchaser. The percentage of profit will be 17%.

An item was sold for Rs. 3600 at 25% discount. Its marked price was

a) Rs. 4800
b) Rs. 4500
c) Rs. 2700
d) Rs. 2880

✔Answer

✔Solution

Correct Answer Is : Rs. 4800

Solution Is : Taken cost price = 100 then loss 25% so 100-25 = 85 C.P = 100 S.P = 85 85 - 3600 100 - ? Marked price = Rs.4800.

The selling price of an article is Rs. 1,920 and the discount given is 4%. The marked price of the article is

a) Rs. 2,400
b) Rs. 2,000
c) Rs. 1,600
d) Rs. 1,200

✔Answer

✔Solution

Correct Answer Is : Rs. 2,000

Solution Is :

The single discount, which is equivalent to three successive discounts of 25%, 20% and 10%, is

a) 0.55
b) 0.54
c) 0.46
d) 0.45

✔Answer

✔Solution

Correct Answer Is : 0.46

Solution Is :

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CDS Exam ELEMENTARY MATHEMATICS Study Material

Percentage Discount

The single discount equivalent to two successive discount of10% and 20% is equal

Correct Answer Is : 28%

Solution Is : Required discount =(a+ b-(a*b/100))% =(10+20-(10*20/100))% =(30-2)% 28%

If 90% of x is 315km , then the value of x is

Correct Answer Is : 350km

Solution Is : 90% of x=315 x*(90/100)=315 x=(315*100/90) =350km

Mr. A spent 78% of his monthly income and save the rest. If his annual saving Rs 22440 his monthly income is

Correct Answer Is : 8500

Solution Is : Let monthly income of Mr. A=x Saving of Mr. A =(100-78)% of x=22% of x 22% of x =(22440/12) (monthly saving) 100% of x=(1870*100/22) =Rs 8500

A shopkeeper, in order to clear his old stock of TV sets, offers 12% discount on the TV sets. If the marked price of TV set is 6500, the selling price of the TV set is

Correct Answer Is : 5720

Solution Is : Marked price of TV set 6500, discount = 12% We know that, Marked Price - Discount = Selling Price Selling Price = 6500 - 6500 * 12/100 = 6500 - 65 * 12 =6500 - 780 = 5720

A dealer marks his goods 20% above cost price and allows a discount of 10% to his customers. His gain percentage is

Correct Answer Is : 8%

The college election, a candidate secured 62% of the votes and is elected by a margin of 144 votes. The total number of votes polled is

Correct Answer Is : 600

Solution Is : A candidate secured 62% of the votes. Remaining votes = 100% - 62% Candidate is won by a margin of 144 votes. So, 162% - 38% = 144, 24% = 144 1% = 144/24, 100%=144/24*100 = 600.

A seller increases the cost price of an article by 30% and fixed the marked price as Rs. 286. But during sale he gave 10% discount to the purchaser. The percentage of profit will be

Correct Answer Is : 17%

Solution Is : A seller increases the cost price of an article by 30% and fixed the marked price as Rs. 286. But during sale he gave 10% discount to the purchaser. The percentage of profit will be 17%.

An item was sold for Rs. 3600 at 25% discount. Its marked price was

Correct Answer Is : Rs. 4800

Solution Is : Taken cost price = 100 then loss 25% so 100-25 = 85 C.P = 100 S.P = 85 85 - 3600 100 - ? Marked price = Rs.4800.

The selling price of an article is Rs. 1,920 and the discount given is 4%. The marked price of the article is

Correct Answer Is : Rs. 2,000

Solution Is :

The single discount, which is equivalent to three successive discounts of 25%, 20% and 10%, is

Correct Answer Is : 0.46

Solution Is :

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Solution Is : Required discount =(a+ b-(ab/100))% =(10+20-(1020/100))% =(30-2)% 28%

Solution Is : 90% of x=315 x(90/100)=315 x=(315100/90) =350km