CTET Maths MCQ - Percentage

6 A man sells sugar to a tradesman at a profit of 20% but the tradesman becoming bankrupt pays only 80 paise in the rupee. How much percentage does the man gain or lose by his sale?

Let CP be Rs.x
SP = 1.2 x But he gets only 1.2x * 0.8 = 0.96x
Loss = 0.04x
Hence Loss % = 4.

7 A camera costing 2550 is marked to be sold at a price, which gives a profit of 30%. What will be its selling price in a sale when 20% is taken off the marked price?

CP = Rs.550
∴ Marked price = 1.3x550 = Rs.715
∴ sales price = 0.8x715 = Rs.572.

8 A manufacturer marks his goods in advance at 80 percent more than the cost price, but he allows 15 articles to the dozen and also 10 percent discount for cash. What rate of profit on his outlay does he obtain from a customer who pays cash?

Let CP be x
∴ MP = 1.8 x
∴ SP of 15 articles = 12 * 1.8x = 21.6x
∴ Discount = 0.9 x 21.6x = 19.44x
∴Profit on 15 articles = (19.44 - 15)x
∴ Profit % =(4.44x/15x) = 29.6%

9 Three bachelors, A ,B and C rented a house for a year.. But, A left after 4 months, B stayed for 8 months and only C stayed for the entire year. If the annual rent was Rs. 6000, then share of A is

Rate in which the rent is to be divided = 4 : 8 : 12
A's share of rent= (8/24) * 6000 =Rs.2000

10 Ram, Shyam and Ghanshyam invest Rs.2000, Rs.10000 and Rs.5000 to set up a stall. Ram gets 15% of the total profit for running the stall. Ram gets Rs.500 less than Shyam and Ghanshym together, then total profit of that year is:

85% of the total profit is divided in the ratio 2 : 10 : 5.
85% of total profit = 2x + 10x + 5x = 17x
Total profit = (17x / 85% )
Share of Ram in the profit = 2x + 15% of 20x =2x+ 3x= 5x
Share of Shyam in the profit = 10x
Share of Ghanshyam in the profit = 5x
Now, (10x + 5x) - 5x = 500
10x = 500
=>x = 50
∴ Total profit = 20 x 50 = Rs.1000.

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