Question 1: Find the selling price when:

i) C.P. Rs. Gain ii) C.P. Rs. , Loss

iii) C.P. Rs. , Loss iv) C.P. Rs. , Gain

Answer:

i) C.P. Rs. Gain

Rs.

ii) C.P. Rs. , Loss

Rs.

iii) C.P. Rs. , Loss

Rs.

iv) C.P. Rs. , Gain

Rs.

Question 2: Find the Cost Price, When:

i) S.P. Rs. , Gain ii) S.P. Rs. , Loss

iii) S.P. Rs. , Gain iv) S.P. Rs. , Loss

Answer:

i) S.P. Rs. , Gain

Rs.

ii) S.P. Rs. , Loss

Rs.

iii) S.P. Rs. , Gain

Rs.

iv) S.P. Rs. , Loss

Rs.

Question 3: A Sells a cycle to B at a Profit of and B Sells it to C at a Profit of . If C pays Rs. , What did A Pay for it?

Answer:

Let C.P. of A

Then, S.P. of A C.P. of B

S.P. of B

Therefore

Hence A Paid Rs. for the cycle.

Question 4: A Sold a watch to B at gain and B had to sell if it Manu at a loss of . If C Paid Rs. then how much did A Pay?

Answer:

Let C.P. of A

C.P. of B

Then, S.P. of A C.P. of B

S.P. of B

Therefore

Hence A Paid Rs. for the Watch

Question 5: A Grocer Purchase kg of Rice at Rs. and mixed it with kg of rice purchased at Rs. . At what rate per kg should he sell the mixture to gain ?

Answer:

Let Total C.P.

For gain Total S.P.

Total Quantity

Hence S.P. per kg

Question 6: A Bought two bags for Rs. each. A the sold one of them at a gain of and the other at a loss of . How much did A Gain?

Answer:

Total C.P. Rs.

Total S.P.

Rs.

Question 7: A trader purchased a wall clock and a watch for a sum of Rs. . He sold them making a profit of on the wall clock and on the watch he earns Rs. . Find the cost price of the wall clock and that of the watch.

Answer:

Let the C.P. of wall clock

Let the C.P. of wall clock

Therefore

Also

Solving for we get

Rs.

Hence Cost of Wall Clock and Cost of Watch Rs.

Question 8: Toffees are bought at for Rs. . How many toffees would be sold for Rs. so as to gain ?

Answer:

C.P. of 15 Toffees

Therefore, C.P. of 1 Toffee Rs.

For gain, S.P. of 1 Toffee Rs.

Therefore number of toffees that you can sell in Rs Toffees

Question 9: Two-thirds of a consignment was sold at a profit of and the remaining at a loss of . If the total profit was Rs. , Find the value at which the consignment was purchase?

Answer:

Let the C.P. of Consignment

Therefore

Question 10: A Grocer bought sugar worth Rs. . He sold of it at Gain. At what gain the remaining sugar be sold to have a gain on the whole?

Answer:

C.P. of sugar Rs.

Let the of on the remaining sugar

Therefore

Question 11: A Man buys a piece of land for Rs. . He sells of at a loss of . At what Gain , the remaining piece of land be sold to gain on the whole?

Answer:

C.P. of land Rs.

the of land sold at a loss of

Let’s the remainder be sold at gain

Therefore

Solving for we get

Question 12: By Selling a car for Rs. , a man gain . What will be his gain or loss percent if it is sold for Rs. .

Answer:

Let the cost of the car

Therefore,

Rs.

Rs.

If S.P

Question 13: A Chair sold for Rs. at a Gain at At what price should it be sold to gain

Answer:

Let The C.P. of chair

Then, Rs.

For Gain

S.P. Rs.

Question 14: A television is sold for Rs. at a loss of . For how much it should have been sold be gain ?

Answer:

Let the C.P. of Television

To gain

S.P. Rs.

Question 15: A shop keeper sold two fans at Rs. each. On one he gained , while other he cost . Calculate the gain or loan percent on whole transaction?

Answer:

Let C.P. of fan Rs.

Let C.P. of fan Rs.

Therefore,

Similarly

Hence, Total C.P. Rs.

Total S.P. Rs.

Question 16: Shanti sold two cameras for Rs. each. On one she lost , while on the other she gained . Find the gain or loss percentage in whole transaction.

Answer:

Let, C.P. of Camera

Let C.P. of Camera

Therefore,

Similarly

Total C.P. Rs.

Total S.P. Rs.

Question 17: By selling lemons for Rs. , a man loses how many should he sell for Rs. to gain on the transaction.

Answer:

Let C.P. of a lemon Rs.

S.P. of one Lemon Rs.

Therefore Rs.

To gain on the transaction,

S.P. of one Lemon Rs

Need to be sold for Rs. Lemons

Question 18: A sold a pressure cooker at a loss of . Had she bought it at less and sold for Rs. more, she would have gained . Find the cost price of the pressure cooker.

Answer:

Let the cost of pressure cooker

S.P.

New C.P.

New S.P.

Therefore

Rs.

Cost of the cooker Rs.

Question 19: A Man sold a toaster at a profit of . Had he purchased of for less and sold it for Rs. more, he would have gained . How much did he buy for?

Answer:

Let, C.P. of Toaster

S.P. of Toaster

New C.P.

New S.P.

Gain

Therefore:

Rs.

The man bought the toaster for Rs. 640

Question 20: A shopkeeper sells each of his goods at a gain of . If on any day, his total sell was Rs. , what was?

i) The total cost of all goods sold on that day ii) His profit of that day

Answer:

Let the total C.P. of goods

Therefore,

Rs.

Profit for day Rs.