The cost price of 16 oranges is equal to the selling price of 10 oranges. The cost price of 12 banana is equal to the selling price of 16 banana and the cost price of 6 guava is equal to the selling price of 4 guava. If the ratio of the cost price of 1 orange, 1 banana and 1 guava is in the ratio of 1:1:2, then find the net profit percentage on the sale of 1 orange, 2 banana and 2 guava.
Answer: B Let the cost price of 1 orange be 'x', therefore, the cost price of 1 banana and 1 guava would be 'x' and '2x' respectively. Selling price of 1 orange = 16x/10 = 1.6x Selling price of 1 banana = 12x/16 = 0.75x Selling price of 1 guava = 12x/4 = 3x Total cost of 1 orange, 2 banana and 2 guava = x+2x+4x = 7x. Total selling price of 1 orange , 2 banana and 2 guava = 1.6x+ 1.5x + 6x = 9.1x Net profit = 19.1x - 7x = 2.1 x. Net profit percentage = 2.1x/7x *100 = 30%.
Q. No. 8:
Baruah sold an item for Rs 625 and earned a profit of 20%, whereas Tiwari sold an item for Rs 3165 and earned an profit of 33%. What is the overall selling price price of both the items, if overall profit earned is 20%?
A person increases the selling price of their product by 20% because of which their profit percentage increased from 10% to 15%. What was the corresponding increase in the cost price of the product?
Answer: A Let earlier CP = Rs 100 Earlier SP = Rs 110 Current SP = 110*1.2 = Rs 132 Current CP = (110/115) * 132 = 114.78 Hence, the % increase = 114.78 - 100 = 14.78%
Q. No. 10:
LG Electronic s finds that it can sell x television per week at Rs. p each where p= 2(100 - x/4). The cost of production of x television per week is Rs.(120x + x2/2). Finds its maximum profit per week.
Answer: C Cost of production of x televisions =
(120x + x2/2). Revenue by selling x televisions = x * 2(100 - x/4) Net Profit = (120x + x2/2) - {x * 2(100 - x/4)} => {800x - x*x}= 1600 - (x- 40)2. => For maximum profit x = 40 and the corresponding profit = Rs.1600.
Q. No. 11:
A textile manufacturing firm employs 50 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 50 looms is Rs. 5,00,000 and the monthly manufacturing expenses is Rs. 1,50,000. Assume that each loom contributes equally to the sales and the manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs. 75,000. If one loom breaks down and remains idle for one month, the decrease in profit is
Answer: C Contribution of each loom to sales = 5,00,000/50 = Rs 10,000 Monthly manufacturing expenses of one loom = 1,50,000/50 = 3000 So decrease in profit = 10,000 – 3,000 = 7,000 Looms contribute equally to sales and manufacturing expenses, however establishment charges remain constant irrespective of the number of looms.
Q. No. 12:
A quantity of turmeric is sold at Rs 5.75 per kilogram. The total gain by selling the turmeric at this rate is Rs 60. Find the quantity of turmeric being sold if a profit of 15% is made on the deal.
Answer: A let's assume that the CP of turmeric be Rs k. Since, profit = 15%, SP = 1.15k = 5.75 => k = Rs 5 On selling 1 kg he gained Rs 0.75 So to gain Rs 60, the required quantity = 60/0.75 = 80 kg