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Central Government Service

Program for SSC CGL

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Central Government Service

Program for SSC CGL

Self Learning

₹10800 ₹6000 +
Taxes

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Self Learning

Available

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Current Affair, Maths, English, History, Democratic Politics, Geography, Economics, Verbal Reasoning, Non Verbal Reasoning, General Awareness, Critical Reasoning, Verbal Ability, Vedic Maths, General Knowledge

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Maths / Comparing Quantities / Discount and Discount Percentage

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Discount and Discount Percentage

Discount: Discount is defined as the amount of rebate given on the label price (marked price) of an article. It is given by merchants/shopkeepers for attracting customers for increasing their sales. The customer or buyer pays the difference between the marked price and the discount. Thus,

S.P. = Marked Price - Discount

$Rate;of;Discount;=$ $Discount; percentage = frac{Discount}{Marked; price}; times ;100$

$Discount; percentage = frac{M.P.-S.P.}{M.P.}; times ;100$

Illustration: A shopkeeper marked an article at rs 4950. He then gave a discount of Rs 495. Find his discount %?

Solution: Marked Price = Rs 4950

Discount = Rs 495

$large Discount; percentage = frac{Discount}{Marked; price}; times ;100$

$large Discount; percentage = frac{495}{4950}; times ;100 = 10%$

Illustration: Articles are marked at a price which gives a profit of 25%. After allowing a certain discount, the profit reduces to $large 12tfrac{1}{2}%$ . Find the discount percent.

Solution: Let the C.P. of an article be Rs 100. Then, to attain a profit of 25%, marked price must be 25% more than the cost price.

So, Marked price = Rs 100 + Rs 25 = Rs 125

After allowing a certain discount the profit reduces to $large 12tfrac{1}{2}%$ .

So, Profit = $large 12tfrac{1}{2}%;of ;C.P.$

$large =12tfrac{1}{2}%;of;Rs 100$

$large =frac{12tfrac{1}{2}}{100}times Rs 100$

$large = Rs; 12tfrac{1}{2}$

So, S.P. = C.P. + Profit

$large = Rs;100+Rs; 12tfrac{1}{2}$

$large = Rs; 112tfrac{1}{2}$

Now, M.P. = S.P. + Discount

$large Rightarrow$ Discount = M.P. - S.P.

$large =Rs;125-Rs;112tfrac{1}{2}$

$large =Rs;12tfrac{1}{2}$

So, Discount % $large =left ( frac{Discount}{M.P.}times 100 right )$

$large =left ( frac{12tfrac{1}{2}}{125}times 100 right )$

$large =left (frac{25}{2} times frac{100}{125}right )$

$large =10$

Hence, discount = 10%

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Available Online Courses for selected Class / Category

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₹10800 ₹6000 + Taxes

Discount and Discount Percentage

₹10800 ₹6000 +
Taxes