Question
A seller marked the price of an item at Rs. 3,000. The
seller gave successive discounts of (y + 3)% and (y - 3)% to a customer. If the customer paid Rs. 2,430 for the item, then find the value of 'y'.Solution
ATQ; SP of the item = 3000 × (1 - (y + 3)/100) × (1 - (y - 3)/100) = 2430 or, {(100 - y - 3)/100} × {(100 - y + 3)/100} = 2430/3000 or, (97 - y) × (103 - y) = (2430/3000) × 100 × 100 or, 97 × 103 - 97y - 103y + y² = 8100 or, y² - 200y + 9991 - 8100 = 0 or, y² - 200y + 1891 = 0 or, y² - 10y - 190y + 1891 = 0 or, y × (y - 10) - 189 × (y - 10) = 10 or, (y - 10) × (y - 189) = 10 So, y = 10 or y = 189 But, y = 189 is not possible because the discount cannot be more than 100%. Therefore, y = 10
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements:
A > B ≥ C > D ≤ V < L; D > G > Q
Conclusions:
I)Â B > Q
II) L < G
...Statements:K < L,L ≥ M,M > N
Conclusions: I. K < M II. N > K
Statements: Q > S ≥ R = T; U < V = W < X = Y ≤ T
Conclusions:
I. R > U
II. T < U
III. U ≥ R
Statements: R > U ≤ V = W ≥ S; T < M ≤ P = S
Conclusions:
I. V ≥ M
II. P < V
III. W ≥ T
Statements: Z % Y; X # W; U % V; W & V; Y @ X
Conclusions:Â Â Â Â Â
I. U @ X Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statement: L ≥ M ≤ R = S; M > N ≥ P
Conclusions: I. P ≤ M II. L > N
Statement:
N > I ≥ H > O; O ≤ J ≤ K < F; H > P < C; C = R < S;
Conclusion:
I. I > C
II. P < F
III. H < S
Statements:
M < N < K ≥ R > S; Y < B < P ≤ N
Conclusions:
I). S > B
II). Y < K
...In which of these expression ‘X ≤ B’ is definitely true?
