profit and loss Model Questions & Answers, Practice Test for ssc chsl tier 1
A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price of the book is:
Answer: (b)
Let cost price be Rs. 100. The, S.P. = Rs. 112.
Let printed price be Rs. x.
90% of x = 112
⇒ $x = ({112 × 100}/90)$ = Rs. $1120/9$
∴Required ratio = 100 : $1120/9$ = 900 : 1120 = 45 : 56
A shopkeeper professes to sell his good at C.P. only. But he uses 750 gm weight at the place of 1000 gm weight for a kg. What is his net profit percentage?
Answer: (b)
Profit % = $\text"Error"/{1000 - \text"Error"}$ × 100
= $250/{1000 - 250} × 100 = 33{1}/3 %$
Manoj sold an article for Rs. 15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price ?
Answer: (b)
Suppose cost price = Rs. x
90% of 15000 = 108% of x
$15000 × 90/100 = x × 108/100$
150 × 90 = $x × 108/100$
$x = {150 × 90 × 100}/108$ = Rs. 12500
By giving 25% discount a trader earns 25% profit. If he sells the item at 10% discount, what is his profit?
Answer: (d)
Let cost price = Rs. x,
Marked price = Rs. y
and profit % at 10% discount = r %
${75y}/100 = {125x}/100$ ⇒ 3y = 5x...(i)
And ${9y}/10 = {(100 + r)x}/100$
${15x}/10 = {(100 + r)x}/100$ [∵ 3y = 5x]
$15 = {100 + r}/10$
r = 50%
Note that discount is always given on marked price and profit is always occured on cost price.
The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was Rs. 22. Find the amount of the bill.
Answer: (c)
Successive discount = 20% + ${20 × 80}/100$
= 20 + 16 = 36%
Difference in discount = 36 – 35 = 1%
∴ Bill amount = 22 × 100 = Rs. 2200
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