Question
Selling price of a cap is at 10% profit, and that of a
scarf is 25%. If total profit on selling 6 caps and 3 scarves is Rs. 48, and on selling 4 caps and 5 scarves is Rs. 65, what is the cost price of a cap?Solution
ATQ,
Let CP of cap = 100x, scarf = 100y
SP of cap = 110x, scarf = 125y
Profit:
6(110x) + 3(125y) – 6(100x) – 3(100y) = 48
⇒ 60x + 75y = 48 ……… (1)
4(110x) + 5(125y) – 4(100x) – 5(100y) = 65
⇒ 40x + 125y = 65 ……… (2)
(1) × 2 → 120x + 150y = 96
(2) × 3 → 120x + 375y = 195
Subtract:
-225y = -99 ⇒ y = 0.44
Put in (1):
60x + 75 × 0.44 = 48
⇒ 60x + 33 = 48 ⇒ x = 0.25
CP of cap = 100x = Rs. 25
Statements: A @ B, B # C, C % D
Conclusions: a) A # CÂ Â Â Â Â b) A @ DÂ
Statements: B & X, X # U, U @ K, K % T
Conclusions: I.  X & T                     II. K # B
...- Statement: L = N ≥ O ≥ P > R = Q > S = T
Conclusions:
I. S < O
II. L ≥ Q
III. P > T Statements:
R = F > Q = Y > B; J < Z ≤ Y
Conclusions:
I. Q > Z
II. B ˃ J
Statements: L ≤ Y = T ≤ S; S = F ≤ U; K > N = U
Conclusions:
I. K > T
II. U ≥ L
...Statements: P ≥ S ≥ C ≤ U; N ≥ S < G ; C ≤ M
Conclusion I. P ≥ N II.M < S
...Statements: J ≤ K = L ≤ N; N ≤ O = M
Conclusions: I. M = JÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. J < M
...Statements:
O ≤ P = Y ≤ U; L > G ≥ W = Q ≥ Y; G < A ≤ R < D
Conclusions:
I. P < R
II. G ≥ P
Statement: L ≥ X ≤ Z > Y ≤ A, Y = B ≥ CÂ
Conclusion: I. C >A          II. A ≥ C
Statements: A > E ≤ B; G < C ≤ E; D < C ≤ F
Conclusions:
I. D < B
II. F ≤ E
III. A > G
...
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