Page 191 - Start Up Mathematics_8 (Non CCE)

S.P. of mobile phone = ` (15,800 – 1,027)
= ` 14,773
12
Tax = 12% of ` 14,773 = × ` 14,773
100
= ` 1,772.76

\ Total amount paid by Manish = ` (14,773 + 1,772.76)
= ` 16,545.76
Example 25: Honey goes to a shop to buy a mobile phone costing ` 8,736. The rate of tax is 12%. She tells
the shopkeeper to reduce the price of the mobile phone to such an extent that she has to pay
` 8,736 inclusive of tax. Find the reduction needed in the price of the mobile phone.
Solution: Let the reduced price, excluding tax, of the mobile phone be ` x.
Rate of tax = 12%

Ê 12 ˆ
x
\ Tax = 12% of ` x = ` Á 100 ¯
˜
Ë
Ê 12 xˆ Ê 112 ˆ
x
\ S.P. of the mobile phone = ` x + 100 ˜ ¯ = ` Á 100 ¯ ˜
Á
Ë
Ë
But, the given S.P of the mobile phone = ` 8,736
112x 8 736 100, ×
\ = 8,736 ⇒ x = = 7,800
100 112
Hence, the reduction needed in the price of the mobile phone = ` (8,736 – 7,800) = ` 936
Example 26: A customer made the following purchases from a departmental store. Calculate his total bill.

Items Quantity Rate per item (in `) Rate of tax
Pair of shoes 2 ` 800 18%

Pair of trousers 2 ` 1,200 18%

T-shirt 3 ` 800 5%

Solution: C.P. of a pair of shoes = ` 800
\ C.P. of 2 pairs of shoes = ` (2 × 800) = ` 1,600
Rate of tax = 18%

Ê 18 ˆ
\ Tax = 18% of ` 1,600 = ` Á 100 ¥ 1 600, ˜ ¯ = ` 288
Ë
So, amount paid for 2 pairs of shoes = ` (1,600 + 288) = ` 1,888
C.P. of a pair of trousers = ` 1,200
\ C.P. of 2 pairs of trousers = ` (2 × 1,200) = ` 2,400

Rate of Tax = 18%
Ê 18 ˆ
\ Tax = 18% of ` 2,400 = ` Á 100 ¥ 2 400, ˜ = ` 432
¯
Ë
So, amount paid for 2 pairs of trousers = ` (2,400 + 432) = ` 2,832

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