## RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax (VAT) Ex 13.1

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax (VAT) Ex 13.1

**Other Exercises**

**Question 1.****A student buys a pen for Rs. 90 and sells it for Rs. 100. Find his gain and gain percent ?****Solution:**

C.P. of a pen = Rs. 90

and S.P. = Rs. 100

Gain = S.P. – C.P. = Rs. 100 – 90 (S.P > C.P.)

= Rs. 10

**Question 2.****Rekha bought a saree for Rs. 1240 and sold it for Rs. 1147. Find her loss and loss percent.****Solution:**

C.P. of saree.= Rs. 1240 and

S.P. = Rs. 1147

Loss = C.P – S.P. = Rs. 1240 – Rs. 1147 (C.P. > S.P.)

= Rs. 93

**Question 3.****A boy buys 9 apples for Rs. 9.60 and sells them at 11 for Rs. 12. Find his gain or loss percent.****Solution:**

L.C.M. of 9 and 11 = 99

Let 99 apples were purchased.

C.P. of 99 apples at the rate of 9 apples for Rs. 9.60

**Question 4.****The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.****Solution:**

C.P. of 10 articles = S.P. of 9 articles = 90 (Suppose)

**Question 5.****A retailer buys a radio for Rs. 225. His overhead expenses are Rs. 15. If he sells the radio for Rs. 300, determine his profit percent.****Solution:**

Cost of radio = Rs. 225

Over head expenses = Rs. 15

Total C.P. of the ratio = Rs. 225 + 15 = Rs. 240

S.P. of radio = Rs. 300

Gain = S.P. – C.P. = Rs. 300 – Rs. 240 = Rs. 60

**Question 6.****A retailer buys a cooler for Rs. 1200 and overhead expenses on it are Rs. 40. If he sells the cooler for Rs. 1550, determine his profit percent.****Solution:**

Cost of cooler = Rs. 1200

Overhead expenses = Rs. 40

Total cost price of cooler = Rs. 1200 + Rs. 40 = Rs. 1240

Selling price = Rs. 1550

Gain = S.P. – C.P. = Rs. 1550 – Rs. 1240 = Rs. 310

**Question 7.****A dealer buys a wristwatch for Rs. 225 and spends Rs. 15 on its repairs. If he sells the same for Rs. 300, find his profit percent.****Solution:**

Cost of wristwatch = Rs. 225

Cost on repairs = Rs. 15

Total cost price = Rs. 225 + Rs. 15 = Rs. 240

Selling price = Rs. 300

Gain = S.P. – C.P. = Rs. 300 – Rs. 240 = Rs. 60

**Question 8.****Ramesh bought two boxes for Rs. 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.****Solution:**

Total cost price of two boxes = Rs. 1300

S.P. of each box is same.

Let S.P of each box = Rs. 100

S.P. of first box = Rs. 100

Gain = 20%

**Question 9.****If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.****Solution:**

S.P. of 10 pens = C.P. of 14 pens = Rs. 100 (Suppose)

**Question 10.****If the cost price of 18 chairs be equal to selling price of 16 chairs, And the gain or loss percent.****Solution:**

C.P. of 18 chairs = S.P. of 16 chairs = Rs. 100 (Suppose)

**Question 11.****If the selling price of 18 oranges is equal to the cost price of 16 oranges, And the loss percent.****Solution:**

S.P. of 18 oranges = C.P. of 16 oranges = Rs. 100 (Suppose)

**Question 12.****Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs. 1680 on its repairs and sold the motor cycle to Rahul for Rs. 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish.****Solution:**

Cost price of cycle for Rahul or Selling price for Vineet = Rs. 35910

Gain = 12.5%

**Question 13.****By selling a book for Rs. 258, a book-seller gains 20%. For how much should he sell it to gain 30% ?****Solution:**

S.P. of a book = Rs. 258

Gain = 20%

**Question 14.****A defective briefcase costing Rs. 800 is being sold at a loss of 8%. If its price is further reduced by 5%, find its selling price.****Solution:**

C.P. of a briefcase = Rs. 800

Loss = 8%

**Question 15.****By selling 90 ball pens for Rs. 160, a person losses 20%. How many ball pens should be sold for Rs. 96 so as to have a profit of 20%.****Solution:**

S.P of 90 ball pens = Rs. 160

**Question 16.****A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs. 36.75 less, he would have gained 30%. Find the cost price of the article.****Solution:**

Let C.P. of the article = Rs. 100

In first case gain = 25%

S.P. = 100 + 25 = Rs. 125

In second case,

C.P. = 20% less of Rs. 100 = 100 – 20 = Rs. 80

Gain = 30%

**Question 17.****A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of 950 for each kilogram. Find his gain percent.****Solution:**

Let C.P. of 1 kg of pulses = Rs. 100

S.P. of 950 gm = Rs. 100

**Question 18.****A dealer bought two tables for Rs. 3120. He sold one of them at a loss of 15% and other at a gain of 36%. Then he found that each table was sold for the same price, find the cost price of each table.****Solution:**

Cost price of two tables = Rs. 3120

Let S.P of each table = Rs. 100

Now S.P of one table = Rs. 100

Loss = 15%

**Question 19.****Mariam bought two fans for Rs. 3605. She sold one at a profit of 15% and the other at a loss of 9%. If Mariam obtained the same amount for each fan, find the cost price of each fan.****Solution:**

Total cost price of two fans = Rs. 3605

Let selling price of each fan = Rs. 100

Now S.P. of first fan = Rs. 100

Profit = 15%

**Question 20.****Some toffees are bought at the rate of 11 for Rs. 10 and the same number at the rate of 9 for Rs. 10. If the whole lot is sold at one rupee per toffee, find the gain or loss percent on the whole transaction.****Solution:**

L.C.M. of 11 and 9 = 99

Let each time 99 toffees are bought.

In first case, the C.P. of 99 toffees at the rate of 11 for Rs. 10

**Question 21.****A tricycle is sold at a gain of 16%. Had it been sold for Rs. 100 more, the gain would have been 20%. Find the C.P. of the tricycle.****Solution:**

Let the C.P. of tricycle = Rs. 100

In first case, gain = 16%

S.P. = Rs. 100 + 16 = Rs. 116

In second case, gain = 20%

S.P. = Rs. 100 + 20 = Rs. 120

Difference in S.P.’s = Rs. 120 – Rs. 116 = Rs. 4

If difference is Rs. 4,

then C.P. of the tricycle = Rs. 100

and if difference is Re. 1, then C.P.

**Question 22.****Shabana bought 16 dozen ball pens and sold then at a loss equal to S.P. of 8 ball pens. Find****(i) her loss percent****(ii) S.P. of 1 dozen ball pens, if she purchased these 16 dozen ball pens for Rs. 576.****Solution:**

C.P. of 16 dozen ball pens = S.P. of 16 dozen pens – loss

C.P. of 16 x 12 pens = S.P. of 16 dozen pens x S.P. of 8 pens

C.P. of 192 pens = S.P. of 16 x 12 pens x S.P. of 8 pens

S.P. of 192 pens + S.P. of 8 pens = S.P. of 200 pens

(i) Let C.P. of 1 pen = Re. 1

Then C.P. of 192 pens = Rs. 192

and S.P. of 200 pens = Rs. 192

**Question 23.****The difference between two selling prices of a shirt at profits of 4% and 5% is Rs. 6. Find****(i) C.P. of the shirt****(ii) The two selling prices of the shirt****Solution:**

The difference of two selling prices of shirt = Rs. 6

Difference in profits of 4% and 5% = 5 – 4 = 1%

(i) C.P. = 1 x 6 x 100 = Rs. 600

**Question 24.****Toshiba bought 100 hens for Rs. 8000 and sold 20 of these at a gain of 5%. At what gain percent she must sell the remaining hens so as to gain 20% on the whole ?****Solution:**

Total number of hens bought = 100

C.P. of 100 hens = Rs. 8000

Hope given RD Sharma Class 8 Solutions Chapter 13 Profits, Loss, Discount and Value Added Tax Ex 13.1 are helpful to complete your math homework.

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