Page 120 - ICSE Math 8

AT A GLANCE

Profit
¾ If S.P. > C.P., there is a profit. Profit = S.P. – C.P. and Profit % = ×100
C.P.
Ê 100 + Profit% ˆ 100 ¥ S.P
S.P. = Á Ë 100 ˜ ¯ × C.P. C.P. = ( 100 + Profit%)

Loss
¾ If C.P. > S.P., there is a loss. Loss = C.P. – S.P. and Loss % = ¥100
C.P.
Ê 100 - Loss%ˆ 100 ¥ S.P.
S.P. = Á Ë 100 ˜ ¯ × C.P. C.P. = (100 - Loss%)

Discount
¾ Discount = M.P – S.P. Discount % = ¥100
M.P.
100 ¥S.P.
S.P. = Ê Á Ë 100 Discount%- 100 ˆ × M.P. M.P. = ( 100 - Discount %)
˜
¯
¾ Tax is calculated on the S.P. of an article.

MENTAL MATHS

1. Choose the correct option.
(a) If C.P. = ` 500, S.P. = ` 620, then profit % is:

(i) 24% (ii) 24.5% (iii) 22% (iv) 22.5%
(b) A man buys oranges at the rate of 4 for ` 3 and sells them at the rate of 3 for ` 4. His profit % is:
1 7
(i) 76% (ii) 75 % (iii) 77 % (iv) 74%
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(c) A single discount equivalent to two successive discounts of 10% and 5% is:
(i) 14% (ii) 14.5% (iii) 15% (iv) 15.5%

(d) The list price of a book is ` 130. If it is sold at a discount of 15%, its S.P. is:
(i) ` 110 (ii) ` 115 (iii) ` 110.50 (iv) ` 115.50
2. Write True or False.
(a) The cost price and the overhead expenses together make up the effective selling price.

(b) If a doll is bought for ` 75 and sold for ` 100, then a profit is made.
(c) A dealer lists a table at 20% above the cost price and allows a discount of 10%. His profit
per cent is 8%.
(d) The discount is allowed on the net selling price.
3. Fill in the blanks.

(a) The gain made if the ____________ is more than the ____________ is called ____________.
(b) The ____________ given on the marked price of an article is called discount.
(c) The loss and gain per cent are always calculated on the ____________.
(d) The value of 5% tax on ` 1,560 is equal to ____________.

(e) If a water bottle marked ` 1,250 is sold for ` 1,175, then the discount % on it is ____________.

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