In our previous article we have gone through the basics Profit, Loss and Discount as well as solved few questions based on them. Now we will discuss questions asked in the previous year papers. This will help to understand the pattern that SSC follows in framing questions.
Type 1:
The cost price of 40 articles is the same as the selling price of 25 articles. Find the gain per cent.
(a) 65%
(b) 60%
(c) 15%
(d) 75%
Answer: (b) Gain per cent
=(40-25)/25×100
=15/25×100=60%
Type 2:
Bananas are bought at the rate of 6 for Rs. 5 and sold at the rate of 5 for Rs. 6. Profit percent is:
(a) 36%
(b) 42%
(c) 44%
(d) 48%
Answer : (c) To avoid fraction, let the number of bananas bought
LCM of 5 and 6 = 30
CP of 30 bananas
= 5 x 5 = Rs. 25
SP of 30 Bananas = 6 x 6
= Rs. 36
Profit = Rs. (36-25) = Rs. 11
Profit %
= 11/25×100=44%
Type 3:
A man bought oranges at the rate of 8 for Rs 34 and sold them at the rate of 12 for Rs. 57. How many oranges should be sold to earn a net profit of Rs 45?
(a) 90
(b) 100
(c) 135
(d) 150
Answers: (a) Let the man buy 24 (LCM of 8 and 12) oranges.
C.P. of 24 oranges = 34/8 ×24 = Rs. 102
S.P. of 24 oranges = 57/12×24= Rs. 114
Gain = 114 – 102 = Rs. 12
Rs. 12 = 24 oranges
Rs. 45 = 24/12×45= 90 oranges
Type 4:
A shopkeeper earns a profit of 12% on selling a book at 10% discount on printed price. The ratio of the cost price to printed price of the book is ?
(a) 45 : 56
(b) 50 : 61
(c) 90 : 97
(d) 99 : 125
Answer: (a) C.P. of the book = Rs. x
Printed price = Rs. y
(y×90)/100=x × 112/100
x/y=90/112=45/56
Type 5:
A dealer sold two types of goods for Rs 10,000 each. On one of them, he lost 20% and on the other he gained 20%. His gain or loss per cent in the entire transaction was
(a) 2% loss
(b) 2% gain
(c) 4% gain
(d) 4% loss
Answer: (d) Here, S.P. is same, Hence there is always a loss. Loss per cent =(20×20)/100=4%
Type 6:
On selling an article for Rs170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at rupees
(a) 215.50
(b) 212.50
(c) 240
(d) 210
Answer (c) S.P. of article = (170/85)*120 = Rs. 240
Type 7:
An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of 12 1/2% on it. The cost price of the article is
(a) Rs. 40
(b) Rs. 45
(c) Rs. 50
(d) Rs. 35
Answers: (a) Let the cost price of the article = Rs. x
S.P. at 10% loss
= x×90/100= Rs. 9x/10
- P. at 12 1/2 % gain
x × (100+12 1/2)/100 = Rs. 225x/200
According to the question
9x/10 + 9 = 225x/200
180x + 1800 = 225x
x = Rs. 40
Type 8:
A sells a suitcase to B at 10% profit. B sells it to C at 30% profit. If C pays Rs 2860 for it, then the price at which a bought it is
(a) 1000
(b) 1600
(c) 2000
(d) 2500
Answer: (c) If the C.P. of the suitcase for A be Rs. x, then
x ×110/100×130/100=2860
x=(2860×100×100)/(110×130) = Rs. 2000
Type 9:
A tradesman sold an article at a loss of 20%. If the selling price had been increased by Rs. 100, there would have been a gain of 5%. The cost price of the article was
(a) Rs. 200
(b) Rs. 25
(c) Rs. 400
(d) Rs. 250
Answer (c) Let the C.P. of the article be Rs. x.
105% of x - 80% of x = Rx. 100
25% of x = Rx. 100
x = Rs. (100×100)/25
= Rs. 400
All the best!
Team BYJU'S Exam Prep!
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