Insta–DART (Daily Aptitude and Reasoning Test) 2020 - 21
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Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.
We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
Wish you all the best ! 🙂
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Question 1 of 5
1. Question
Mithilesh makes 750 articles at a cost of 60 paise per article. He fixes the selling price such that if only 600 articles are sold, he would have made a profit of 40% on the outlay. However, 120 articles got spoilt and he was able to sell 630 articles at this price. Find his actual profit percent as the percentage of total outlay assuming that the unsold articles are useless.
Correct
Answer : c
Total outlay (initial investment) = 750 x 0.6 = Rs. 450.
By selling 600, he should make a 40% profit on the outlay. This means that the selling price for 600
should be 1.4 x 450 → Rs. 630
Thus, selling price per article = 630/600 = 1.05.
Since, he sells only 630 articles at this price, his
total recovery = 1.05 x 630 = 661.5
Profit percent (actual) = (211.5/450) x 100 = 47%
Incorrect
Answer : c
Total outlay (initial investment) = 750 x 0.6 = Rs. 450.
By selling 600, he should make a 40% profit on the outlay. This means that the selling price for 600
should be 1.4 x 450 → Rs. 630
Thus, selling price per article = 630/600 = 1.05.
Since, he sells only 630 articles at this price, his
total recovery = 1.05 x 630 = 661.5
Profit percent (actual) = (211.5/450) x 100 = 47%
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Question 2 of 5
2. Question
A manufacturer estimates that on inspection 12% of the articles he produces will be rejected. He accepts an order to supply 22,000 articles at Rs.7.50 each. He estimates the profit on his outlay including the manufacturing of rejected articles, to be 20%. Find the cost of manufacturing each article.
Correct
Answer : b
In order to solve this problem, first assume that the cost of manufacturing 1 article is 1. Then 100
articles would get manufactured for 100, For a 20% profit on this cost, he should be able to sell the
entire stock for Rs. 120. However since he would be able to sell only 88 articles (given that 12% of his
manufactured articles would be rejected) he needs to recover Rs.120 from selling 88 articles only. Thus, the profit he would need would be given by the ratio 32/88.
Now it is given to us that his selling price is Rs. 7.5.
The same ratio of profitability i.e.32/88 is achieved if his cost per article is Rs. 5.5.
Incorrect
Answer : b
In order to solve this problem, first assume that the cost of manufacturing 1 article is 1. Then 100
articles would get manufactured for 100, For a 20% profit on this cost, he should be able to sell the
entire stock for Rs. 120. However since he would be able to sell only 88 articles (given that 12% of his
manufactured articles would be rejected) he needs to recover Rs.120 from selling 88 articles only. Thus, the profit he would need would be given by the ratio 32/88.
Now it is given to us that his selling price is Rs. 7.5.
The same ratio of profitability i.e.32/88 is achieved if his cost per article is Rs. 5.5.
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Question 3 of 5
3. Question
The cost of setting up the type of a magazine is Rs. The cost of running the printing machine is Rs. 120 per 100 copies. The cost of paper, ink and so on is 60 paise per copy. The magazines are sold at Rs. 2.75 each. 900 copies are printed, but only 784 copies are sold. What is the sum to be obtained from advertisements to give a profit of 10% on the cost?
Correct
Answer : c
The total cost to print 900 copies would be given by:
Cost for setting up the type + cost of running the printing machine + cost of paper/ink etc
= 1000 + 120 x 9 + 900 x 0.6 = 1000 +1080 + 540
= 2620.
A 10% profit on this cost amounts to Rs. 262. Hence, the total amount to be recovered is Rs. 2882.
Out of this, 784 copies are sold for Rs. 2.75 each to recover Rs. 2156.
The remaining money has to be recovered through advertising.
Hence, The money has to be recovered through advertising = 2882 – 2156 = Rs. 726. Option (c) is correct.
Incorrect
Answer : c
The total cost to print 900 copies would be given by:
Cost for setting up the type + cost of running the printing machine + cost of paper/ink etc
= 1000 + 120 x 9 + 900 x 0.6 = 1000 +1080 + 540
= 2620.
A 10% profit on this cost amounts to Rs. 262. Hence, the total amount to be recovered is Rs. 2882.
Out of this, 784 copies are sold for Rs. 2.75 each to recover Rs. 2156.
The remaining money has to be recovered through advertising.
Hence, The money has to be recovered through advertising = 2882 – 2156 = Rs. 726. Option (c) is correct.
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Question 4 of 5
4. Question
A tradesman fixed his selling price of goods at 30% above the cost price. He sells half the stock at this price, one-quarter of his stock at a discount of 15% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percent altogether.
Correct
Answer : b
Total cost (assume) = 100.
Recovered amount = 65 + 0.85 x 32.5 + 0.7 x 32.5 = 65 + 27.625 + 22.75 = 115.375
Hence profit will be=15.375%
Incorrect
Answer : b
Total cost (assume) = 100.
Recovered amount = 65 + 0.85 x 32.5 + 0.7 x 32.5 = 65 + 27.625 + 22.75 = 115.375
Hence profit will be=15.375%
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Question 5 of 5
5. Question
A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the cus- tomer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper.
Correct
Answer : c
While buying
He buys 1100 gram instead of 1000 grams (due to
his cheating).
Suppose he bought 1100 grams for Rs. 1000
While selling:
He sells only 900 grams when he takes the money for 1 kg.
Now according to the problems he sells at a 8% profit (20% mark up and 10% discount).
Hence his selling price is Rs. 1080 for 900 grams. To calculate profit percentage, we either equate the
goods or the money. In this case, let us equate the money as follows:
Buying;
1100 grams for Rs.1000
Hence 1188 grams for Rs.1080
Selling: Hence, profit% = 288/900 = 32%
Incorrect
Answer : c
While buying
He buys 1100 gram instead of 1000 grams (due to
his cheating).
Suppose he bought 1100 grams for Rs. 1000
While selling:
He sells only 900 grams when he takes the money for 1 kg.
Now according to the problems he sells at a 8% profit (20% mark up and 10% discount).
Hence his selling price is Rs. 1080 for 900 grams. To calculate profit percentage, we either equate the
goods or the money. In this case, let us equate the money as follows:
Buying;
1100 grams for Rs.1000
Hence 1188 grams for Rs.1080
Selling: Hence, profit% = 288/900 = 32%