Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2007 · Marks: · Difficulty:
The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on the set of the shirt and trousers is 30%, the discount offered on the trousers is
(a)15%
(b)20%
(c)25%
(d)30%
Answer
Answer (as printed): C
Explanation
Let the marked price of the shirt and trousers be ` x and ` 2x respectively. Let the discount offered on trousers be y%. 60 3x Then, S.P. of shirt = 60% of ` x = ` × x = ` . 100 5 S.P. of trousers = (100 – y)% of ` 2x (100 – y) (100 – y)x = ` × 2x = ` . 100 50 Combined S.P. of shirt and trousers = 70% of ` (x + 2x) 70 21x = ` × 3 x = ` . 100 10 3 x (100 – y )x 21x 130 – y 21 \ + = ⇒ = 5 50 10 50 10 ⇒ 1300 – 10y = 1050 ⇒ y = 25.
Explanation as extracted from the printed page; notation may be imperfect.