Discount
- A man bought an article listed at ₹ 1500 with a discount of 20 % offered on the list price . What additional discount must be offered to the man to bring the net price to ₹ 1104?
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∵ Listed price of an article = ₹ 1500
∴ Price after first discount
= 1500 x (1 -20/100) = 1500 x 4/5 = ₹ 1200
Now, second discount = 1200 - 1104 = ₹ 96Correct Option: A
∵ Listed price of an article = ₹ 1500
∴ Price after first discount
= 1500 x (1 -20/100) = 1500 x 4/5 = ₹ 1200
Now, second discount = 1200 - 1104 = ₹ 96
Hence, required percentage = (96/1200) x 100 % = 8 %
- While selling, businessman allows 40% discount on thee marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be
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Let MP of an article = ₹ N
∴ SP of an article = N x (100 - 40)/100 = ₹ 3N / 5
CP of an article = {(3N/5) x 100}/{100 - 30}
= (3N/5) x (100/70) = ₹ 6N/7.
∴ Profit when sold at MP = N - (6N/7) = ₹ N/7Correct Option: C
Let MP of an article = ₹ N
∴ SP of an article = N x (100 - 40)/100 = ₹ 3N / 5
CP of an article = {(3N/5) x 100}/{100 - 30}
= (3N/5) x (100/70) = ₹ 6N/7.
∴ Profit when sold at MP = N - (6N/7) = ₹ N/7
Hence, profit per cent = [(N/7) / (6N/7)] x 100% = 50/3%
= 162/3%
- By selling an article at 3/4th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is
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Let MP of an article = ₹ R
∴ SP of an article = ₹ 3R/4
and CP of an article
= (3R/4) x {100/(100 + 25)}Correct Option: A
Let MP of an article = ₹ R
∴ SP of an article = ₹ 3R/4
and CP of an article
= (3R/4) x {100/(100 + 25)}
= 3R/4 x (100/125)
= ₹ 3R/5
Required ratio = R : 3R/5 = 5 : 3
- A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash, is ?
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Let CP of the goods = ₹ N
∴ Marked price of the goods = N x {(100 + 30)/100} = ₹ 13N/10
Now, SP of the goods = (13N/10) x (100 - 15/100)
= (13N/10) x (85/100) = ₹ 221N/200
⇒ Profit = {(221 x N)/200} - N = ₹ 21N/200Correct Option: A
Let CP of the goods = ₹ N
∴ Marked price of the goods = N x {(100 + 30)/100} = ₹ 13N/10
Now, SP of the goods = (13N/10) x (100 - 15/100)
= (13N/10) x (85/100) = ₹ 221N/200
⇒ Profit = {(221 x N)/200} - N = ₹ 21N/200
Hence, profit per cent = [{21N/200} /N] x 100 % = 2100/200 = 10.5 %
- A manufacturer marked an article at ₹ 50 and sold it allowing 20% discount. If his profit was 25%, then the cost price of the article was
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∵ Marked price of an article = ₹ 50
∴ SP of an article = 50 x (100 - 20)/100
= (50 x 80)/100
= ₹ 40
Hence, cost price of an article = (40 x 100)/(100 + 25)Correct Option: C
∵ Marked price of an article = ₹ 50
∴ SP of an article = 50 x (100 - 20)/100
= (50 x 80)/100
= ₹ 40
Hence, cost price of an article = (40 x 100)/(100 + 25)
= (40 x 100)/125
= ₹ 32
