Discount
- A dozen pair of socks quoted ₹ 80 are available at a discount of 10%. How many pair of socks can be bough for ₹ 24 ?
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∵ MP of one dozen of pairs of socks = ₹ 80
∴ SP of one dozen of pairs of socks
=80 x (100 - 10)/100 = 80 x 90/100= ₹ 72Correct Option: A
∵ MP of one dozen of pairs of socks = ₹ 80
∴ SP of one dozen of pairs of socks
=80 x (100 - 10)/100 = 80 x 90/100= ₹ 72
Hence, required number of pairs of socks
purchased for ₹ 24 = (12 x 24)/72 = 4
- A shopkeeper allows a discount of 10% to his customers and still gains 20%, the marked price of the article which costs ₹ 450, is
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Here, r = 10% and R = 20%
∴ Required per cent = (r + R)/(100 - r) x 100 %
= [(10 + 20)/(100 - 10)] x 100% = (30 x 100)/90 %
This shows that the marked price of the item is 100/3 % more
than its cost price.Correct Option: A
Here, r = 10% and R = 20%
∴ Required per cent = (r + R)/(100 - r) x 100 %
= [(10 + 20)/(100 - 10)] x 100% = (30 x 100)/90 %
This shows that the marked price of the item is 100/3 % more
than its cost price.
∴ Marked price of the article = (450 x 400)/300
= ₹ 600
- What is the maximum percentage discount (approximately) that a merchant can offer on his marked price, so that he ends up selling at no profit or loss, if he initially marked his goods up by 40%?
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Let cost price = ₹ 100
And marked price = 100 + 40 = ₹ 140
Let required discount be R %.
According to the question,
140 x (100 - R)/100 = 100Correct Option: B
Let cost price = ₹ 100
And marked price = 100 + 40 = ₹ 140
Let required discount be R %.
According to the question,
140 x (100 - R)/100 = 100
⇒ 100 - R = (100 x 100) / 140
∴ R = 100 - (100 x 100) / 140
= (40 x 100) / 140
= 28.5 % (approx)
- By selling an article at 80 % of its marked price, a trader makes a loss of 10 %, what will be a profit percentage, if he sells it at 95 % of its marked price?
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Let marked price = ₹ 100
And selling price = ₹ 80
In condition of 10% loss the cost price of article = (80 x 100)/90 = ₹ 800/9Correct Option: A
Let marked price = ₹ 100
And selling price = ₹ 80
In condition of 10% loss the cost price of article = (80 x 100)/90 = ₹ 800/9
According to the question,
When SP = 95, then
∴ Required profit percentage = [{95 - (800/9)} / (800/9)] x 100 = 55/8
= 6.9% (approx)