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31. A man buys a chair and table for Rs. 6000. He sells the chair at a loss of 10% and the table at gain of 10%. He still gains Rs. 100 on the whole. Cost price of chair is:
Total SP = +
Or, 9x + 66000 - 11x = 61000
Or, 2x = 66000 - 61000 = 5000
Or, x = Rs. 2500
Solution:
If the CP of the chair be Rs. x then,Total SP = +
Or, 9x + 66000 - 11x = 61000
Or, 2x = 66000 - 61000 = 5000
Or, x = Rs. 2500
32. By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:
SP for the profit of 8% = = Rs. 2700
Solution:
CP of bicycle = = Rs. 2500SP for the profit of 8% = = Rs. 2700
33. By selling an article, a man makes a profit of 25% of its selling price. His profit percent is:
Solution:
He gets 25% profit on the selling price.
34. Two successive price increase of 10% and 10% of an article are equivalent to a single price increase of:
Equivalent price increase = 21%
Solution:
100 --- 10%↑ → 110 --- 10%↑ → 121Equivalent price increase = 21%
35. A stockiest wants to make some profit by selling sugar. He contemplates about various methods. Which of the following would maximize his profit?
I. Sell sugar at 10% profit.
II. Use 900 g of weight instead of 1 kg.
III. Mix 10% impurities in sugar and selling sugar at cost price.
IV. Increase the price by 5% and reduced weights by 5%.
Then, CP of 900g sugar = = Rs. 90
Hence, profit % = = 11.11%
If he add 10% impurity then his CP for 1 kg = = Rs. 90.9
And % profit = = 10.01%
If he reduces weight by 5% Then, cost price of 950 g= = Rs 95 and SP = 105;
% profit = = 10.25%
I. Sell sugar at 10% profit.
II. Use 900 g of weight instead of 1 kg.
III. Mix 10% impurities in sugar and selling sugar at cost price.
IV. Increase the price by 5% and reduced weights by 5%.
Solution:
Let the CP of 1 kg of sugar be Rs. 100.Then, CP of 900g sugar = = Rs. 90
Hence, profit % = = 11.11%
If he add 10% impurity then his CP for 1 kg = = Rs. 90.9
And % profit = = 10.01%
If he reduces weight by 5% Then, cost price of 950 g= = Rs 95 and SP = 105;
% profit = = 10.25%
36. A rickshaw dealer buys 30 rickshaws for Rs. 4725. Of these, 8 are four-seaters and the rest are two seaters. At what price must he sell the four-seaters so that if he sells the two-two seaters at th of this price, he makes a profit 40% on his outlay?
Hence, the targeted sales realization is Rs. 6615.
The required equation;
8p + 22 × = 6615
Or, 8p + = 6615
In the expression for LHS = RHS; we need to be odd number.
This can only happen when p is not a multiple of 4.
Hence, option a and c gets eliminated automatically.
Now, we check for option B which is correct.
Solution:
On an investment of Rs. 4725, a profit of 40% means a profit of 1890.Hence, the targeted sales realization is Rs. 6615.
The required equation;
8p + 22 × = 6615
Or, 8p + = 6615
In the expression for LHS = RHS; we need to be odd number.
This can only happen when p is not a multiple of 4.
Hence, option a and c gets eliminated automatically.
Now, we check for option B which is correct.
37. A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres? (revenue per passenger is same)
Then, when price of petrol is reduced
Cost price become 60 and selling price = 160
Profit increased = 100%
Solution:
Assume the cost price = 100 and selling price = 120Then, when price of petrol is reduced
Cost price become 60 and selling price = 160
Profit increased = 100%
38. A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these maneuvers?
and
he sells at a 8% profit (20% markup, 10% discount)
Hence, his selling price is Rs. 108 for 900 grams
% profit = = 20%
Solution:
He sells only 900 grams when he takes the money for 1 kg.and
he sells at a 8% profit (20% markup, 10% discount)
Hence, his selling price is Rs. 108 for 900 grams
% profit = = 20%
39. A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these maneuvers?
Then SP of 1000gram is 1000 + 20% of 1000 = Rs. 1200
Now Dealer gives 10% discount = 1200 - 10% of 1200 = Rs. 1080
Then, Dealer is dishonest and sells 900 g is 1080
And, CP of 900 grams is 900
Profit = 1080 - 900 = 180
∴ % profit = = 20%
Solution:
Let CP = Rs. 1 per gramThen SP of 1000gram is 1000 + 20% of 1000 = Rs. 1200
Now Dealer gives 10% discount = 1200 - 10% of 1200 = Rs. 1080
Then, Dealer is dishonest and sells 900 g is 1080
And, CP of 900 grams is 900
Profit = 1080 - 900 = 180
∴ % profit = = 20%
40. The cost of setting up the type of a magazine is Rs. 1000. 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 profit of 10% on the cost?
= 1000 + 120 × 9 + 540 = 2620
Net sum to be recovered = Rs. 2882
Total magazine sold 784 for = 784 × 2.75 = 2156
Sum obtained from advertisement = 2882 - 2156 = Rs. 726
Solution:
Total cost = type + Printing + paper, ink= 1000 + 120 × 9 + 540 = 2620
Net sum to be recovered = Rs. 2882
Total magazine sold 784 for = 784 × 2.75 = 2156
Sum obtained from advertisement = 2882 - 2156 = Rs. 726