profit and loss Model Questions & Answers, Practice Test for ssc mts paper 1
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:
Answer: (c)
Let C.P. of each clock be Rs. x.
Then, C.P. of 90 clocks = Rs. 90x.
∴ [(110% of 40x) + (120% of 50x)] – (115% of 90x) = 40
⇒ 44x + 60x – 103.5x = 40
⇒ 0.5x = 40 ⇒ x = 80
Profit earned by an organisation is distributed among officers and clerks in the ratio of 5 : 3. If the number of officers is 45 and the number of clerks is 80 and the amount received by each officer is Rs.25,000, what was the total amount of profit earned?
Answer: (d)
Amount received by all the officers
= 45 × 25000 = 11,25,000
Amount received by each clerk
= $3/5 × 25000$ = 15000
Amount received by all the clerks
= 80 × 15000 = 12,00,000
Total amount of profit earned
= 11,25,000 + 12,00,000 = Rs.23.25 lakh.
The C.P. of an article is Rs.1700. If it was sold at a price of Rs.2006, what was the percentage profit on the transaction ?
Answer: (b)
Profit % = ${2006 - 1700}/1700$ × 100 = 18%
A merchant allows a discount of 10% on marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by
Answer: (b)
Solving this type of question by short cut.
Net profit% = $x + y + {xy}/100$
17% = $- 10 + y + {(- 10) × y}/100$ [∴ '–' for discount]
27 = $y - y/10$
27 = ${10y - y}/10$
27 × 10 = 9y
y = 30%
Hence, he must mark his goods 30% higher than their cost price.
The cost of two articles are in the ratio 3 : 5. If there is 30% loss on the first article and 20% gain on the second article, what is overall percentage of loss or gain?
Answer: (d)
Let the CP of two articles be 3x and 5x, respectively.
∴ SP of first article = ${{3x} × 70}/100 = {21x}/100$
SP of second article = ${{5x} × 120}/100$ = 6x
∴ Total SP = $6x + {21x}/10 = {60x + 21x}/10 = {81x}/10$
∴ Total CP = 3x + 5x = 8x
∴ Profit = ${81x}/10 – 8x = {81x - 80x}/10 = x/10$
∴ Overall percentage of gain = ${x/10 × 100}/{8x}$
= ${x × 100}/{10 × 8x}$ = 1.25%
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