Page 185 - Start Up Mathematics_8 (Non CCE)

10. Aditya and Manav purchased one scooter each for the same price. Aditya sold it for ` 18,400 and
lost 8%. At what price should Manav sell it to have a profit of 6%?
11. A shopkeeper bought 30 cricket balls at the rate of ` 40 per ball. He sold 20 balls at the rate of
` 50 per ball. At what rate should he sell the remaining balls to have a profit of 40% in the whole
transaction?
1
12. A shopkeeper sold a wrist watch for ` 990 gaining of its cost price. Find the cost price of the wrist
watch and his profit percent. 8
1
13. If the selling price of a laptop is equal to 1 of its cost price, find the profit percent.
5
14. A shopkeeper bought two fans for ` 3,120. He sold one of them at a profit of 36% and the other at
a loss of 15%. He found that each fan was sold for the same price. Find the cost price of each fan.
15. The difference between two selling prices of a jacket at profits 4% and 5% is ` 6. Find the (a) cost
price of the jacket (b) two selling prices of the jacket.
16. A dealer purchased 250 bulbs for ` 10 each. However, 12 bulbs got fused which she had to throw
away. She sold the remaining bulbs at ` 12 each. Find her gain or loss percent.

Discount
In the market, the price of every article is marked. This is called the marked price (M.P.). However, you must
have noticed bumper sale advertisements. In such sales, to clear the stocks or for other reasons, the seller sells
the goods at prices lower than the normal marked price. This rebate is called discount.

So the buyer pays the difference between M.P. and discount. Extension
Discount Marked price (M.P.) is different
S.P. = M.P. – Discount Discount % = ¥100
M.P. from MRP which is the maximum
retail price. It is the maximum
Ê 100 - Discount% ˆ 100 ¥S.P. price at which the goods can be
S.P. = Á ˜ ¯ ¥ M.P. M.P. = sold to the consumers. This is
Ë
100
(
100 - Discount%)
fixed by the manufacturer.
Example 13: Find the marked price if the S.P. is ` 552.50 and discount % is 15%.
100 S.P. Ê100 ¥ 552 50. ˆ Ê 100 ¥ 552 50. ˆ
¥
Solution: M.P. = = ` Á ˜ = ` Á ˜ = ` 650
100 - Discount% Ë 100 -15 ¯ Ë 855 ¯
Example 14: Find the discount percent if the M.P. is ` 2,700 and S.P. is ` 2,160.
Solution: Discount = M.P. – S.P.
= ` (2,700 – 2,160) = ` 540

Ê Discount ˆ Ê 540 ˆ
Discount % = Á Ë M.P. ¥100 % = Á Ë 2 700, ¥ 100 % = 20%
˜
˜
¯
¯
Example 15: 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 percent.
Solution: C.P. of the refrigerator = ` 8,000
Ê 20 ˆ
20% of C.P. = ` Á Ë 100 ¥ 8 000, ˜ = ` 1,600
¯
M.P. = C.P. + ` 1,600 = ` (8,000 + 1,600) = ` 9,600

Discount % = 10%
Ê 100 - Discount% ˆ
S.P. = ` Á Ë 100 ˜ ¯ × M.P.

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