第8类RD Sharma –第13章利润损失折扣和增值税–练习13.1 |套装1

问题1.一个学生买一支笔，价格为卢比。 90并以卢比出售。 100.找到他的收益和收益百分比?

解决方案：

Given, the Cost price of pen = Rs 90

The Selling price of pen = Rs 100

Here, Selling price > Cost price

So, there is a Profit or Gain.

So, Gain = Selling price – Cost price = 100 – 90 = Rs 10

And, Gain % = (Gain/Cost price) × 100 = (10/90) × 100 = 100/9 or 11.12 %

Hence, the gain of a person is Rs 10 and the gain percentage is 100/9 or 11.12 % 

问题2：Rekha用Rs买了一条纱丽。 1240并以卢比出售。 1147.找到她的损失率和损失率?

解决方案：

Given, the Cost price of saree = Rs 1240

The Selling price of saree = Rs 1147

Here, Cost price > Selling price

So, there is a Loss.

So, Loss = Cost price – Selling price = 1240 – 1147 = Rs 93

And, Loss % = (Loss/Cost price) × 100 = (93/1240) × 100 = 7.50%

Hence, Rekha had a loss of Rs 93 and her loss percentage is 7.5 %

问题3.一个男孩花9卢比买了9个苹果。 9.60，并以11卢比的价格出售。 12.找到他的收益或损失百分比?

解决方案：

Given, the Cost price of 9 apples = Rs 9.60

So, the Cost price of 1 apple = Rs 9.60/9 = Rs 1.066

The Selling price of 11 apples = Rs 12

So, the Selling price of 1 apple = Rs 12/11 = Rs 1.090

Here, Selling price > Cost price

So, there is a Profit or Gain.

So, Gain = Selling price – Cost price = 12/11 – 9.60/9 = Rs 0.024

And, Gain % = (Gain/ Cost price) × 100 = (0.024/1.066) × 100 = 2.27 %

Hence, the gain of the boy is Rs 0.024 and the gain percentage is 2.27 % 

问题4. 10件商品的成本价格等于9件商品的售价。找出利润百分比?

解决方案：

Given, The cost price of 10 articles = the selling price of 9 articles

Let us take x be the Cost price of 1 article

Then, the Cost price of 10 articles will be 10x

So, the Selling price of 9 articles will be 10x 

And, the Selling price of 1 article will be 10x/9

So, we can say Profit or Gain = Selling price – Cost price = 10x/9 – x = x/9

And, Profit % = (Profit/ Cost price) × 100 = (x/9)/x × 100 = 100/9 = 11.11 %

Hence, the profit percentage is 11.11 %

问题5.零售商以225卢比的价格购买一台收音机。他的管理费用为15卢比。如果以300卢比的价格出售该收音机，确定其利润百分比吗?

解决方案：

Given, the Cost price of radio = Rs 225

Overhead expenses is of Rs 15

So, total Cost price of radio will be Rs 225 + Rs 15 = Rs 240

The Selling price of radio = Rs 300

So, Profit = Selling price – Cost price = 300 – 240 = Rs 60

And, Profit % = (Profit/ Cost price) × 100 = (60/240) × 100 = 25 %

Hence, the profit percentage is 25 %

问题6.零售商以1200卢比的价格购买冰箱，其间接费用为40卢比。如果以1550卢比的价格出售冰箱，请确定其利润百分比?

解决方案：

Given, the Cost price of cooler = Rs 1200

Overhead expenses is of Rs 40

So, total Cost price of cooler will be Rs 1200 + Rs 40 = Rs 1240

The Selling price of cooler = Rs 1550

So, Profit = Selling price – Cost price = 1550 – 1240 = Rs 310

And, Profit % = (Profit/ Cost price) × 100 = (310/1240) × 100 = 25 %

Hence, the profit percentage is 25 %

问题7.经销商以225卢比的价格购买手表，并在维修上花费15卢比。如果他以300卢比的价格出售该产品，您会发现自己的利润百分比吗?

解决方案：

Given, the Cost price of wristwatch = Rs 225

Money spent on repairing the watch is Rs 15

So, total Cost price of wristwatch will be Rs 225 + Rs 15 = Rs 240

The Selling price of wristwatch = Rs 300

So, Profit = Selling price – Cost price = 300 – 240 = Rs 60

And, Profit % = (Profit/Cost price) × 100 = (60/240) × 100 = 25 %

Hence, the profit percentage is 25 %

问题8.拉梅什以1300卢比的价格购买了两盒。他卖出一盒利润为20％，另一盒亏损12％。如果两个盒子的销售价格相同，请问每个盒子的成本价?

解决方案：

Given, Ramesh bought two boxes for Rs 1300

Let us take a be Cost price of 1st box and 1300 – a be Cost price of 2nd box.

Since the first box is sold at a profit of 20%

So, the Selling price of 1st box = a + a × 20/100 = Rs 6a/5

And, the second box is sold at a loss of 12%

So, the Selling price of 2nd box = (1300 – a) – (1300 – a) × 12/100 = Rs (28600 – 22a)/25

It is given that the selling price of both boxes is the same

So, Selling price of 1st box = Selling price of 2nd box

6a/5 = (28600 – 22a)/25

6a/5 = 28600 × 25–22× 25a

So, a = 550

So, the Cost price of 1st box = a = Rs 550

And, the Cost price of 2nd box = 1300 – a = Rs 750

Hence, the Cost price of 1st box is Rs 550 and the Cost price of 2nd box is Rs 750

问题9.如果10支笔的售价等于14支笔的成本价，请问收益百分比?

解决方案：

Given, The Selling price of 10 pens = the Cost price of 14 pens

Let us take a be the Cost price of 1 pen

Then, the Cost price of 14 pens will be 14a

So, the Selling price of 10 pens will be 14a 

And, the Selling price of 1 pen will be 14a/10

So, we can say Profit or Gain = Selling price – Cost price = 14a/10 – a = 4a/10

And, Gain % = (Gain/ Cost price) × 100 = (4a/10)/a × 100 = 40 %

Hence, the gain percentage is 40 %

问题10.如果18张椅子的成本价格等于16张椅子的销售价格，那么发现损益百分比是多少?

解决方案：

Given, The Cost price of 18 chairs = The Selling price of 16 chairs

Let us take a be the Cost price of 1 chair

Then, the Cost price of 18 chairs will be 18a

So, the Selling price of 16 chairs will be 18a 

And, the Selling price of 1 chair will be 18a/16

We can clearly see that there is a profit 

So, we can say Profit or Gain = Selling price – Cost price = 18a/16 – a = a/8

And, Gain % = (Gain/ Cost price) × 100 = (a/8)/a × 100 = 12.5 %

Hence, the gain percentage is 12.5 %

第13章利润损失折扣和增值税–练习13.1 |套装2