## Must Solve Profit and Loss Questions for SSC/RRB Exams

Must Solve Profit and Loss Questions for SSC/RRB Exams
1. A shopkeeper earns a profit equal to the selling price of 7 bags by selling 23 bags. What is the profit percentage?
a) 43.75 percent
b) 30.4 percent
c) 60.8 percent
d) 17.05 percent
2. A trader bought two cow for Rs. 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each cow is the same, then their cost prices are respectively
a) Rs. 10,000 and Rs. 9,500
b) Rs. 11,500 and Rs. 8,000
c) Rs. 12,000 and Rs. 7,500
d) Rs. 10,500 and Rs. 9,000
3. Manish and Hari started a business investing amounts in the ratio of 2 : 3 respectively. If Manish had invested an additional amount of Rs. 10000, the ratio of Manish’s investment to Hari’s investment would have been 3 : 2. What was the amount invested by Manish initially?
a) Rs. 8000
b) Rs. 12000
c) Rs. 18000
d) Rs. 4000
4. The cost price of 8 pens is equal to selling price of 6 pens. What is the profit/loss percent?
a) 33.33%
b) 25%
c) 30%
d) 50%
5. A shopkeeper sells a radio on a discount of 8% on marked price and gains a profit of Rs. 25%. If marked price was Rs. 20,000 then, what was the cost price?
a) Rs. 14,750
b) Rs. 14,552
c) Rs. 14,720
d) Rs. 14,850
6. On allowing a discount of 20% on its marked price, the value of a watch is Rs.1600. If no discount is allowed, the shopkeeper gains 25%. What is the cost price of the watch?
a) Rs.1600
b) Rs.1400
c) Rs.1296
d) Rs.1200
7. A shopkeeper sells a watch at a loss of  12 1/2%. Had he sold the article for Rs. 63 more, he would have earned a profit of 10%. The cost price of the article is
a) 280
b) 580
c) 370
d) 450

8. The marked price of a table is Rs. 12,000. If it was sold for Rs. 10,500 after allowing a certain discount, then the rate of discount is
a) 17.5%
b) 10%
c) 12.5%
d) 15%
9. An oven when sold for Rs. 16,756, the profit earned is 18%. What is the cost price of the Oven?
a) Rs. 14,200
b) Rs. 14,400
c) Rs. 15,200
d) Rs. 14,800
10. ‘A’ sells an article to ‘B’ at a profit of 20% and ‘B’ sells it to ‘C’ at a profit of 25%. If ‘C’ pays Rs. 1,200, the cost price of the article originally (in Rs.) is
a) 700
b) 600
c) 1,000
d) 800
Solutions:
1. A) Let the SP of 1 bag be ‘x’.
SP of 7 bags = 7x = profit
SP of 23 bags = 23x
Now, profit = SP – CP CP = SP – Profit = 23x – 7x = 16x
Profit % = ((SP CP) /CP) × 100
((23x 16x) /16x) × 100
43.75%
2. B) Let the cost of 1st cow be x then the cost of 2nd cow be y
Total cost of cow = 19,500 = x + y        ------ 1
one sold at 20% loss and other at other at 15% profit
Selling at 20% loss (S. P1) = x - 20% of x
S. P= 0.8x
Selling at 15% profit (S. P2) = y + 15% of y
S. P= 1.15y
Selling Price is equal
0.8x = 1.15y
x = (1.15/0.8) × y
x = 1.4375y
putting the value of x in equation 1 we have
1.4375y + y = 19,500
2.4375y = 19,500
y = 19,500/2.4375
y = 8000
then x = 19,500 - 8000
x = 11,500
3. A) Let the initial investment by Manish be Rs. 2x and by Hari be Rs. 3x
Now, if Manish had invested R. 10000 more, his investment would be Rs. 2x + 10000
Now, according to the question, (2x + 10000)/3x = 3/2
x = 20000/5 = 4000
the amount invested by Manish initially = Rs. 2x = Rs. 8000
4. A) Let cost price of one pen = Rs. 1,
Cost price of 8 pens = Rs. 8,
Cost price of 6 pens = Rs. 6
Selling price of 6 pens = cost price of 8 pens = Rs. 8
Profit gained = SP – CP = Rs. (8 – 6) = Rs. 2
We know that, formula:
Profit percentage = (Profit/CP) × 100%
Profit percent = (2/6) × 100% = 33.33%
Hence, the required profit percentage is 33.33%.
Note: it is not possible to find amount of profit/loss, because we neither know CP nor SP. They could take any values.
Alternate Method (Short trick):
CP of 8 pens = SP of 6 pens
CP of 1 pen × 8 = SP of 1 pen × 6
CP/SP = 6/8 hence, there is a profit.
Now, let CP = Rs. 6 then SP = Rs. 8
Profit = SP – CP = Rs. (8 – 6) = Rs. 2
Profit percent = (2/6) × 100% = 33.33%
5. C) Given that,
Discount = 8% of marked price
= Rs. {20000 × 8/100} = Rs. 1600
Selling price = Marked price discount = Rs. (20,000 1600) = Rs. 18,400
Now, according to the question, a profit of 25% is gained on selling the radio.
We know that, formula:
Profit percentage = (Profit/CP) × 100%
Required CP = Rs. {18400 × 100/125} = Rs. 14,720.
Hence, the cost price of the radio was Rs. 14,720.
6. A) Let the marked price of the watch be M and the cost price be C.
On allowing a discount of 20%, we have the selling price to be Rs.1600.
1600 = M(1 − 20/100) = M × 4/5 = 4/5M M=2000
It is given that if the watch is sold at the marked price, the profit percentage would be 25%,
25/100 = (2000 − C)/C1/4 = (2000 – C)/C
C = 8000 4C 5C = 8000 C = 1600
7. A) Let the cost price of the article be C, and the selling price be S.
Loss% = (C – S)/C => 12.5/100 = (C – S)/C C = 8C 8S 8S = 7C S = 7C/8
Given, had he sold Rs.63 more, he would have earned a profit of 10%.
10/100 = (S + 63) – C/C C = 10S + 630 10 11C 10S = 630
11C – 10 × 7/8C = 630 11C – 35/4C = 630 (44C – 35C)/4 = 630 9C/4 = 630 C = 280

8. C) The marked price of the table is Rs. 12,000.
It is sold for Rs. 10,500 after allowing a certain discount.
Discount offered: = marked price – selling price = Rs. 12000 – Rs. 10500 = Rs. 1500
Discount offered = Rs. 1500 when marked price of the table is Rs. 12,000.
Then the rate of discount is:
= 1500/12000 * 100 = 12.5%
9. A) Let the original cost of the oven be x.
An oven when sold for Rs. 16,756, the profit earned is 18%.
SP = CP + profit
x + (18/100 * x) = 16756  118x / 100 = 16756 x = (16756 × 100)/118 x = Rs. 14200
10. D) Let the cost price of the article be ‘x’.
A sells it to B at a profit of 20%.
We know that,
Selling price = Cost price + Profit
Profit = 20x/100
Selling price of A = x + 0.2x = 1.2x
Selling price of A = Cost price of B
B had a profit of 25%.
B’s profit = 25/100 * 1.2x = 0.3x
Selling price of B = 1.2x + 0.3x = 1.5x
As per problem,
1.5x = 1200 x = 800.
Original cost price = Rs. 800.