Profit and Loss Questions with Solution (Moderate)

Solution:

Let the cost price of the article be Rs. 'X'. Thus, we get, X — (16 % of X) =  Rs.168 = X = Rs.200

Solution:

Required discount = 100 — (0.7 x 0.75 x 100) = 47.5%

Solution:

As gain or loss is on the cost price.

25% loss on Rs.120 = 25% gain on Rs.120.

As such there is no loss no gain.

Solution:

Effective discount = 100 — ( 0.5 x 0.8 x 0.9 x 100) = 64%.

Solution:

The profit percentage remains same for one unit as well for all the units.  Thus the calculations should be done for one unit only.

CP = Rs. 280. SP = Rs. 308.

Profit = 308 – 280 = Rs. 28. Now you need to apply profit percentage  formula for the same.

Profit percentage = 100 × 28/280 = 10%

Solution:

Firstly let us find the cost price of the same. C.P. = 2400 × 100/125 = 1920. New selling price = Rs. 1800 ⇒ Loss = 1920 – 1800 = 120

∴ Loss percentage = 100 × 120/1920 = 6.25%.

Solution:

C.P = Rs. 220/score ∴ C.P/Pineapple = 200/20 = 10 (Note: 1 score = 20  nos.)

S.P = Rs.156/dozen ∴ S.P/Pineapple = 156/12 = 13. Profit = Rs. 3. ∴ % Profit = 100 × 3/10 = 30%

Solution:

Let the C. P. = 100. ∴ Amount of loss = 66 2/3 or 200/3 ⇒ S. P = 100 – 66 2/3 = 33  1/3 or 100/3.

∴ Loss expressed in terms of S. P. = 100 × (200/3)/(100/3) 100 = 200 %

Solution:

Here the amount of loss can be directly found by the formula given in the formula section of this article.

The amount of loss = 2.p².S.P/100²- p² ∴ ⇒ Loss = 2.20².480/100²- 20² = 40. So net loss = Rs. 40.

Solution:

Total cost for the entire quantity of rice = (30 × 40) + (20 × 30) = Rs. 1800. If his profit is 30%, then the sales realization = 1.3 1800 = Rs. 2340. He sells 25 kg at Rs. 36/kg = Rs. 900. Therefore to make the said amount of profit,  he should sell the remaining 25 kg of rice at Rs. 2340 – Rs. 900 = Rs.1440 ∴ The selling price of a kg of rice for the remaining 25 kg = 1440/25 = Rs. 57.6

Solution:

S.P. of 20 Shirts = S.P of 40 Shirts – C.P. of 40 Shirts

20 S.P. = 40 S.P – 40 × 500 ⇒ 20 S.P = 20000 ⇒ S.P = Rs. 1000

Solution:

120 chairs were sold at a profit of Rs. 50 each. Profit on these 120 chairs = 6000. S. P. of all 320 chairs = C. P. of 120 chairs + Profit on 120 chairs + S. P. of 200  chairs

= (120 × C.P) + 6000 + 33600 = (120 × C. P.) + 39600

But these 320 chairs were sold at a profit of 20 %. S. P. = 1.2 × C.P ⇒ 320 × 1.2 × C.P = 120 × C. P. + 39600 ⇒ 384 C.P = 120 C.P + 39600 ⇒ C. P. =  150

Solution:

Profit = Selling price – Cost Price = 60. Selling price = 1.2 (C. P.) ⇒ 1.2 C.P – C.  P. = 60.

⇒ 0.2 C. P. = 60 ⇒ C. P. = 300 and Selling price = 360.

List price or advertised price ⇒ (0.75) = Selling price ⇒ List price = Selling  price/0.75 = 360/0.75 = Rs. 480