Practice Questions: Profit, Loss & Discount

Ans: B

Profit on all the articles = (24 × 30 + 16 × 20)/40 = 26%
(26 - 15)% of total CP of 40 articles = 880
Total CP of 40 articles = Rs. 8000
C.P. of one article = 8000/40 = Rs. 200
Hence, Option B is correct.

Ans: C

Cost price of Honda Bike for Raj = 12100/1.1 = 11000
Since selling price of Honda Bike by Rakesh = Rs. 11000
Cost price of Honda Bike for Rakesh = 11000/0.9 = Rs. 12222.22
Cost Price of Honda Bike for Sohan = 12222.22/1.2 = Rs. 10185.2
Purchase price for Sohan = 10185.2 - 1500 = Rs. 8685
Therefore option (C) is correct.

Ans: C

Let the number of ball, wickets and bats purchased be A, B and C, respectively.
20A + 5B + C = 1000 and A + B + C = 100
19A + 4B = 900
⇒ B = 225 - (19/4)A

Now, as B is the number of wickets and 0 < B < 99,
So, putting these limiting values of B in the above equation will provide the value of A as 27 < A < 47.
Since A has to be the multiple of 4, so possible values of A are 28, 32, 36, 40 and 44.
Now, for A = 28 and 32; A + B > 100, so these values of A can be rejected.
For all other values of A, we get the desired solution:
A = 36, B = 54, C = 10
A = 40, B = 35, C = 25
A = 44, B = 16, C = 40
Thus, there are three possible solutions.

Hence, option (C) is correct.

Ans: B

Discount =

x = 22
So the answer

Hence, Option B is correct.

Ans: D

After a markup of P%, the marked price becomes Rs. (1000 + 10P)

After a discount of (0.4 × P)%, the selling price becomes

Given that the final profit = (0.4 × P)%

⇒ Selling Price 

= 1000 + 4P .....(ii)

as equation (i) is equatl to (ii):

​

Discount = Marked price - Selling price = (1000 + 10P) - (1000 + 4P) = 6P = 6 × 50 = 300

Hence, amount of discount = Rs. 300.

Therefore, option (D) is correct.

Q9: Aman and Bhanu ran a business after investing some money together. At the end of the first year, out of a total profit of Rs.1000, Aman gets Rs.400, which is Rs.25 more than what he would have got if he had invested Rs.3000 less and Bhanu had invested Rs. 1000 less. Find Bhanu's share of the profit, if Aman had invested Rs.3000 more and Bhanu had invested Rs.3000 less. (Assume the same profit in all cases)
A: 250
B: 350
C: 550
D: 600
E: None of these

Ans: Option C
Let the actual capitals of Aman and Bhanu be in the ratio a : b .

Solving (1) and (2)
a = 24000 where b = 36,000
If Aman had invested 3000 more and Bhanu had invest 3000 less,
then a : b = (24000 + 3000) : (36000 - 3000) = 9 : 11

Hence option C is correct.

Q10: Ram went to a shop to buy some Cosco and Plastic balls. Cosco balls cost Rs 300 each while Plastic balls cost Rs.400 each. Ram spent a total of Rs.3600 on the balls. If he had bought as many Plastic balls as the number of Cosco balls he actually bought and vice versa, he would have saved an amount equal to half the cost of one ball of one of the two types. Find the total number of balls he actually bought.
A: 15
B: 25
C: 20
D: 10
E: 12

 Ans: Option D
The cost and the number (actual and 'if) of balls are tabulated below.

Given 3x + 4y = 36 ...... (1)
And (3x + 4y) - (4x + 3y) = (y - x) = 1.5 or  2
If  y - x = 1.5  we don't get integral value of x , y
∴  y - x = 2 ...... (2)
Solving (1) and (2) we get x = 4 , y = 6
∴ x + y = 10
Hence option D is correct.

Q11: A shopkeeper marked a product, 20% above the cost price and sold the product for Rs. 3888 by giving two successive discounts of 10% each. Find the cost price of the product and the loss percentage of the shopkeeper.
A: 4200, 7.4%
B: 4000, 2.8%
C: 4100, 5.1%
D: 4050, 4%
E: None of these

Ans: option B
Selling price of the product = Rs. 3888
Overall discount percentage
Marked price of the product
3888/0.81 = Rs.  4800
Cost price of the article (marked 20% above CP)
4800/1.2 = Rs.  4000
Reqd. loss %
Hence, option B is correct.

Q12: The marked price of a John Players Denim is Rs. 1490. On the occasion of Rakshabandhan, the showroom offered two successive discounts of 11.25% and D% respectively. If an individual purchased the Denim for Rs. 1193.44, then find the value of 'D'?
A: 9.75
B: 8.75
C: 5.5
D: 10.75
E: 11.25

Ans: option A

Marked price = 1490

1^st discount = 11.25%

Price after 1^st discount

2^nd discount = D%

Price after 2^nd discount

 D  = 9.75%

Hence, option A is correct.

Q13: The C.P of a Denim is 10% more than C.P of a T-shirt. The shopkeeper marked up Denim at 20% above the C.P and T-shirt at 30% above the C.P. Find the sum of marked price of 4 Denims and 5 T-shirts, if shopkeeper allowed discount of 20% on T-shirt and 25% on Denim and the difference between selling prices of both is Rs. 50.
A: Rs. 11680
B: Rs. 10780
C: Rs. 12680
D: Rs. 11780
E: Rs. 13680

Ans: option D
Let cost price of T-shirt = Rs. 100x
Cost price of Denim = Rs. 110x
Marked price of DenimMarked price of T-shirt
Selling price of Denim 
Selling price of T-shirt 
According to the question,
104x - 99x = 50
5x = 50
x = 10
Marked price of 4 Denims and 5 T-shirts
= Rs. [(132 x 10) x 4 + (130 + 10) x 5] = Rs. 11780 
Hence, option D is correct.

Q14: A vehicle dealer bought 5 second hand tractors for Rs. 2,00,000. He spent Rs. 2,00,000 additional on the maintenance and repairing of these 5 tractors. He sold one of the tractors for Rs. 1,50,000. What should be the average selling price of rest of the four tractors, if he makes 40% profit on the whole transaction?
A: Rs. 1,20,000
B: Rs. 1,00,000
C: Rs. 1,02,500
D: Rs. 1,25,000
E: Rs. 1,50,000

Ans: option C
Initial cost price of 5 tractors = Rs. 2,00,000
Maintenance and repairing cost of the 5 tractors = Rs. 2,00,000
Final cost price of 5 tractors = 2,00,000 + 2,00,000 = Rs. 4,00,000
Profit to be made on the whole transaction = 40%
Total selling price of the 5 tractors
= 4,00,000 + 40% of 4,00,000 = 4,00,000 + 1,60,000 = Rs. 5,60,000
Selling price of 1 tractor = Rs. 1,50,000
Let the average selling price of the remaining 4 tractors be  y .
Thus,
4y + 1,50,000 = 5,60,000
Hence, option C is correct.

Q15: Two denims of Levi's and Mufti, having same marked price have been sold at 15% and 12% discounts, respectively. The cost price of Mufti was Rs. 160 less than the cost price of Levi's. The profit earned on Levi's and Mufti was 6.25% and 20% respectively. Find the marked price of each denim.
A: Rs. 2400
B: Rs. 4000
C: Rs. 4200
D: Rs. 2040
E: Rs. 2080

Ans: option A

Let the marked price of each denim be Rs. x .

Then, the S.P. of Levi's denim = 85% of x = Rs. 17x / 20
And, the S.P. of Mufti denim = 88% of x = Rs. 22x / 25

According to question,

∴ Marked price of each denim = Rs. 2400

Hence, option A is correct.