Mathematics
The selling price of an article is ₹24. If cost price is ₹x and loss is x%.
Statement 1: x - x% of ₹24
Statement 2: x - x% of x = ₹24
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Answer
Statement 1 is false, and statement 2 is true.
Reason
Given,
C.P. = ₹x
S.P. = ₹24
Loss% = x%
Using the formula, Loss = C.P. - S.P.
⇒ S.P. = C.P. - Loss
⇒ S.P. = C.P. - Loss% of C.P.
Substituting the values, we get
⇒ 24 = x - x% of x
So, statement 2 is true.
Hence, option 4 is the correct option.
Related Questions
Two consecutive natural numbers each of which is multiple of 3 and with their product = 108.
Statement 1: The required natural numbers are 9 and 12.
Statement 2: If two natural numbers are 3x and 3x + 3; 3x(3x + 3) = 108.
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
The distance by road between two towns A and B , is 216 km , and by rail it is 208 km. A car travels at a speed of x km/h, and the train travels at a speed which is 16 km/h faster than the car. Calculate :
(i) The time taken by car , to reach town B from A, in terms of x.
(ii) The time taken by the train , to reach town B from A, in terms of x.
(iii) If the train takes 2 hours less than the car, to reach town B , obtain an equation in x, and solve it.
(iv) Hence, find the speed of the train.
A trader buys x articles for a total cost of ₹600.
(i) Write down the cost of one article in terms of x.
If the cost per article were ₹5 more, the number of articles that can be bought for ₹600 would be four less.
(ii) Write down the equation in x for the above situation and solve it to find x.