CTET Maths MCQ - Algebra

26 A farmer sell his two cows. On one, he gains 25% and on the other, he losses 25%. Find his gain or loss percent in the whole transaction.

In such cases, loss is incurred always.
Thus, the farmer occurs the loss.
Loss percentage =(25)² /100 % = (625/100)%= 6.25%

27 A dishonest dealer professes to sell his goods at cost price but he uses a weight of 900 gm in place of 1 kg. Find his gain per cent.

According to the formula, Gain percentage = Error / (True Error -Error) X 100% . = [100/ (1000-100)] x 100% = (100/900) X 100% = 100/9 %

28 If the cost price is 95% of the selling price, what is the profit percent?

Let SP = 100 Rs. CP = 95 Rs. Profit = (100 - 95)Rs = 5Rs. ProfIt percentage = (profit/ CP) X 100%. = (5/95) X 100% = 5.26%

29 If a watch is sold for 120Rs , there is a loss of 15%. For a profit of 2%, the watch should be sold for

SP = 120 Rs, Loss percent = 15% ∴ cp = (100/ (100 - Loss%) x SP = 100/85 x 120 = 2400/17 Now, gain percent = 2% ∴ Required SP = (100 + gain%)/100 x CP. =(102/100) X 2400/17 = 144 Rs

30 The incomes of A and B are in the ratio of 3 : 2 and their expenditure in the ratio of 5 : 3. If each saves 2500 Rs, then the expenditure of B is

Let the income of A and B are 3x and 2x and corresponding expenditure be 5y Rs and 3y Rs. 3x -5y = 2500 ... (i) and 2x - 3y = 2500 ... (ii) On solving Eqs. (i) and (ii), we get x = 5000 Rs and y = 2500 Rs. Expenditure Of B = 3y =3 x 2500 = 7500 Rs