Page 115 - ICSE Math 8

Marked price (M.P.) is different from MRP which is the maximum retail price. It is the maximum price at
which the goods can be sold to the consumers. This is fixed by the manufacturer.

Example 8: A dealer marks a refrigerator 20% above the cost price of ` 8,000 and allows a discount of
10%. Find the selling price and the profit per cent.
Solution: C.P. of the refrigerator = ` 8,000 Try These
Ê 20 ˆ
20% of C.P. = ` Á 100 ¥ 8 000, ˜ = ` 1,600 1. Find the marked price if
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M.P. = C.P. + ` 1,600 = ` (8,000 + 1,600) = ` 9,600 the S.P. is ` 552.50 and
discount % is 15%.
Discount % = 10% 2. Find the discount per cent
Ê 100 - Discount% ˆ if the M.P. is ` 2,700 and S.P.
S.P. = ` Á 100 ˜ × M.P. is ` 2,160.
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Ê 100 10- ˆ Ê 90 ˆ
= ` Á 100 ¯ ˜ × 9,600 = ` Á Ë 100 ¥ 9 600, ˜ = ` 8,640 Maths Info
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Profit = S.P. – C.P. = ` (8,640 – 8,000) = ` 640 Discount is always calculated
Profit 640 on marked price of an article.
=
Profit % = ×100 = ¥ 100 8%
C.P. 8 000,
∴ Selling price of the refrigerator = ` 8,640 and profit % = 8%
Example 9: A shopkeeper offers 10% discount on all his goods and still makes a profit of 17%. If an item
is marked ` 260, find its cost price.
Solution: Let the cost price of the item be ` x.
Profit % = 17%
Ê 100 + Profit% ˆ Ê 100 17+ ˆ
S.P. = Á Ë 100 ˜ ¯ × C.P. = ` Á Ë 100 ¯ ˜ ¥ x

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S.P. = ` x ...(1)
100
M.P. of the item = ` 260, Discount % = 10%
10
⇒ Discount = 10% of 260 = × 260 = ` 26
100
∴ S.P. = M.P – Discount = ` (260 – 26) = ` 234 ...(2)
117x 234 100¥
From (1) and (2), we get = 234 ⇒ x = = ` 200
100 117
∴ Cost price of the item = ` 200

Example 10: A sports dealer sells cricket bats, costing ` 980 each. At what price must he mark each of them
so as to make a profit of 12%, after giving a discount of 20%?
Solution: C.P. of a cricket bat = ` 980
Profit % = 12%
Ê 100 + Profit% ˆ Ê 100 12+ ˆ Ê 112 ˆ
S.P. = Á Ë 100 ˜ × C.P. = ` Á Ë 100 ¯ × 980 = ` Á Ë 100 ¥ 980 = ` 1,097.60
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∴ S.P. of a cricket bat = ` 1,097.60
Discount % = 20%
Ê 100 ¥S.P. ˆ Ê 100 1 097 60¥ , . ˆ Ê 109 760, , ˆ
∴ M.P. = Á 100 - Discount% ˜ ¯ = ` Á 100 20- ˜ ¯ = ` Á 80 ˜ ¯ = ` 1,372
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Hence, the sports dealer must mark each cricket bat at ` 1,372.
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