问题1.一个人的工资增加了10%。如果他的新工资是1,54,000,请找到他的原始工资。
解决方案:
Let the initial salary was 100.
He got 10 % increment so increased salary is 110.
Increased salary(110%) is equal to 154000
Base salary(100%) is equal to 154000 × (100 / 110) = 140000
Hence his original salary was 140000.
问题2。在星期天845人去了动物园。星期一只有169人参加。周一访问动物园的人数减少了多少?
解决方案:
Given that On Sunday 845 people went to the Zoo.
On Monday only 169 people went.
Decrease in people = 845 – 169 = 676
Percentage decrease = (decrease / initial quantity) 100
= (676 / 845) × 100
= (0.8) × 100
= 80%
Hence percent decrease in the people visiting the Zoo on Monday is 80%.
问题3.一位店主以2400的价格购买了80件商品,并将其出售以获取16%的利润。查找一件商品的售价。
解决方案:
A shopkeeper buys 80 articles for 2,400
Cost price of one article is 2400 / 80 = 30
Percentage Profit = 16
Profit = (C.P. × Percentage Profit) / 100
Profit = (30 × 16) / 100
Profit = 4.8
Selling price of one article = C.P. + Profit
= (30 + 4.80)
= 34.80
Hence the selling price of one article is 34.80.
问题4.一篇文章的成本为15,500。 450花在维修上。如果以15%的利润出售,请找到商品的售价。
解决方案:
Total cost of an article after repair = Cost + repair expenses
= 15500 + 450
= 15950 rupees
Profit percent = 15
Profit = (C.P. × Percentage Profit) / 100
Profit = (15950 × 15) / 100 = 2392.50
Selling price of the article = C.P. + Profit
= (15950 + 2392.50)
= 18342.50
Hence the selling price of the article is 18342.50
问题5.分别购买了8,000台录像机和电视机。店主在录像机上亏损了4%,在电视上亏损了8%。在整个交易中找到损益百分比。
解决方案:
C.P. of a VCR = 8000
C.P. of a TV = 8000
As the cost price of both the article are same so profit and loss calculated on same cost price would be same
so effective profit / loss = (8% profit – 4% loss)
= 4% profit
So gain = C.P. (profit / 100)
= 8000 (4 / 100)
= 320
Hence the gain percent on the whole transaction is 320.
Profit % on the whole transaction = (Profit / Total CP) x 100
= (320 / 16000) x 100
= 2%
问题6.在销售过程中,一家商店对所有商品的市场价格提供10%的折扣。客户需要为每条标价为1450的牛仔裤和两件标为850的衬衫支付什么费用?
解决方案:
As the discount is offered on all the article by the shopkeeper so discount can be calculated from total marked price.
So Total marked price = (1,450 + 2 × 850)
= (1,450 + 1,700)
= 3,150
Given that, discount percentage = 10%
Discount = (3150 ×10 ) / 100 = 315
Also, Sale price = Marked price – Discount
Sale price = (3150 − 315)
= 2835
Hence the customer will have to pay 2,835.
问题7.一名送牛奶者以每只20,000美元的价格出售了他的两头水牛。他一方面获得了5%的收益,另一方面却损失了10%。找到他的整体收益或损失。 (提示:找到每个的CP)
解决方案:
Let us consider C.P. of buffaloes are 100 each
On one he made a gain of 5%
if C.P. is 100 Then S.P.= 105
So cost price = (C.P. / S.P.) 20000
= (100 / 105) 20000
= 19,047.62
on the other a loss of 10 %
if C.P. is 100 Then S.P. = 90
∴ C.P. of other buffalo = (100 / 90) × 20000
= 22222.22
Total C.P. = 19047.62 + 22222.22
= 41269.84
Total S.P. = 20000 + 20000 = 40000
Loss = 41269.84 − 40000 = 1269.84
So the overall loss of milkman was 1269.84
问题8.电视的价格为13,000英镑。收取的营业税税率为12%。查找Vinod购买后必须支付的金额。
解决方案:
Let C.P. is 100
the tax to be paid = 12
The tax to be paid will be on 13000 = (12 / 100) × 13000
= 1560
Required amount to pay = Cost + Sales Tax
= 13000 + 1560
= 14560
Hence Vinod will have to pay 14,560 for the T.V.
问题9:阿伦(Arun)在折扣价为20%的交易中购买了一双溜冰鞋。如果他所支付的金额为1,600,请找到标记的价格。
解决方案:
Let the marked price of the article is 100
Discount given = 20
S.P. = (100 – 20) = 80
when assumed S.P. is 80 actual S.P.is 1600
then marked price 100 is =1600 × (100 / 80)
= 2000
Hence the marked price was 2000.
问题10.我以5400的价格购买了一个吹风机,其中包括8%的增值税。在添加增值税之前查找价格。
解决方案:
Let the original price is 100
then price including VAT will be 108.
When price including VAT is 108
Then original price = 100
When price including VAT is 5400, original price = (100 / 108) × 5400
= 5000
Hence the price of the hair-dryer before the addition of VAT was 5000.
问题11:购买了1239的商品,其中包括18%的消费税。在添加商品及服务税之前找到商品的价格?
解决方案:
Let the original price of article excluding GST was 100
After including GST purchased price will be 118
So 118% ( including GST ) = 1239
100% ( excluding GST ) = 1239 × (100 / 118)
= 1050
Hence the price of the article before GST was added was 1050.