Discount

Discount

1. 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?
1. 6.9 %
2. 5 %
3. 5.9 %
4. 12.5 %

1. Let marked price = ₹ 100
And selling price = ₹ 80

In condition of 10% loss the cost price of article = (80 x 100)/90 = ₹ 800/9

Correct 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)

1. 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%?
1. 60%
2. 28.5%
3. 33.5%
4. No discount

1. 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

Correct 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)

1. A shopkeeper allows a discount of 10% to his customers and still gains 20%, the marked price of the article which costs ₹ 450, is
1. ₹ 600
2. ₹ 540
3. ₹ 660
4. ₹ 580

1. 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

1. A dozen pair of socks quoted ₹ 80 are available at a discount of 10%. How many pair of socks can be bough for ₹ 24 ?
1. 4
2. 5
3. 3
4. 6

1. ∵ 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

Correct 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

1. A seller increases the cost price of an article by 30% and fixed the marked price as Rs. 286. But during sale he gave 10% discount to the purchaser. Percentage of profit will be
1. 17
2. 15
3. 10
4. 20

1. According to question ,

 C.P. of article = Rs. 100 × 286 = Rs. 220 130

 S.P. of article = 286 × 90 = Rs. 257.40 100

Correct Option: A

According to question ,

 C.P. of article = Rs. 100 × 286 = Rs. 220 130

 S.P. of article = 286 × 90 = Rs. 257.40 100

∴  Profit = Rs. (257.40 – 220) = Rs. 37.40
 ∴  Profit percent = 37.40 × 100 = 17% 220