Page 119 - ICSE Math 8

Example 16: Manish bought a mobile phone listed at ` 15,800. If he got a discount of 6.5% on it and paid
tax at the rate of 12%, find the total amount he paid for the mobile phone.

Solution: M.P. of the mobile phone = ` 15,800
Discount% = 6.5%
6.5
∴ Discount = 6.5% of ` 15,800 = × ` 15,800 = ` 1,027
100
S.P. of mobile phone = ` (15,800 – 1,027) = ` 14,773
12
Tax = 12% of ` 14,773 = × ` 14,773 = ` 1,772.76
100
∴ Total amount paid by Manish = ` (14,773 + 1,772.76) = ` 16,545.76

Example 17: 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 including 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.
Ê 12 ˆ
x
Rate of tax = 12% ∴ Tax = 12% of ` x = ` Á Ë 100 ¯ ˜

Ê 12 xˆ Ê 112 ˆ
∴ S.P. of the mobile phone = ` x + 100 ˜ ¯ = ` Á 100 ¯ ˜
x
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

EXERCISE 10.3

1. A geometry box is marked for ` 325. If the rate of tax is 12%, find the amount a customer has to pay for
it.
2. Anushka and her family go out for dinner. Their total bill including 18% tax was ` 4,720. What was the
actual amount of bill excluding tax?
3. A blazer is marked in a shop for ` 2,464. Rate of tax is 12%. Akriti tells the shopkeeper to lower
the rate to an extent that she has to pay nothing more than ` 2,464 including tax. Find the reduction
required.

4. A customer paid ` 38,400 to purchase a colour TV. If this includes 28% tax, determine the marked price
of the TV.

5. The marked price of a pair of jeans is ` 800. A customer pays ` 40 as tax for it. Find the rate of tax.
6. The marked price of an item is ` 6,000. The dealer allows a discount of 4% on cash payment. If the rate
of tax is 12%, find the amount the customer has to pay to the dealer in cash to purchase it.
7. A movie ticket costs ` 400. The tax on it is ` 287. Find the amount a customer has to pay to buy the
ticket.
8. The marked price of a washing machine is ` 15,450. The shopkeeper allows a discount of 10% on cash
payment. If the tax is 18%, find the amount the customer has to pay in cash to purchase it.

107