Page 189 - Start Up Mathematics_8 (Non CCE)

\ S.P. after the second discount = ` (700 – 7D )
2
fi 700 – 7D = 630
2
fi 7D = 700 – 630 = 70
2
70
fi D = = 10
2
7
\ Rate of the second discount = 10%

EXERCISE 12.2

1. Find the S.P., if:
(a) M.P. = ` 320 and Discount % = 12.5% (b) M.P. = ` 990 and Discount % = 10%

2. Find the M.P., if:
(a) S.P. = ` 1,920 and Discount = 4% (b) S.P. = ` 1,098 and Discount = 8.5%
3. Find the rate of discount, if:
(a) M.P. = ` 250 and S.P. = ` 235 (b) M.P. = ` 1,880 and S.P. = ` 1,504

4. Santosh purchased a watch at 20% discount on its marked price but sold it at the marked price. Find
the profit percent of Santosh on this transaction.

5. A cycle merchant allows 25% discount on the marked price of the cycles and still makes a profit of
20%. If he earns a profit of ` 360 on the sale of one cycle, find the marked price of the cycle.

[Hint: First find the C.P. of the cycle.]
6. A shopkeeper offers 10% off-season discount and still makes a profit of 26%. What is the cost price
for the shopkeeper of a pair of shoes marked at ` 1,120?
7. How much percent above the cost price should a shopkeeper mark his goods so that after allowing
a discount of 10% on the marked price, he earns a profit of 8%?

8. A trader offers two successive discounts of 10% and 8% on an article whose marked price is ` 4,600.
Find its selling price.

9. Which is more favourable to the seller and by how much—` 800 with 20% discount or the same
amount with successive discounts of 12% and 10%?

10. A mobile phone was marked at 35% above the cost price and a discount of 20% was given on the
marked price. Find the profit % or loss % made by the shopkeeper.

11. A laptop was marked at ` 32,000. The shopkeeper announced a discount of 20% on the laptop. But
due to some defect in the laptop, he had to further discount it by 10%. At what price was the laptop
sold?

Tax

To generate revenues for spending on public benefits, the government collects revenue from the public in the
form of tax. Earlier there were various kinds of taxes in India such as Sales Tax, Entry Tax, VAT and Service
Tax. Now all the taxes have been replaced by a single tax called Goods and Services Tax (GST). There are
three main types of GST: Central Goods and Services Tax (CGST), State Goods and Services Tax (SGST) and
Integrated Goods and Services Tax (IGST).
Tax is calculated on the selling price and is added to the cost of goods and services. In case discount is applicable,
it is first deducted and then tax is applied on the net selling price. If discount is not given the selling price will
be the same as the marked price.

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