SSC CHSL 2021 PYQ — Question 56

SSC CHSL - 5 Aug 2021 - Shift 2 • Quantitative Aptitude • Q56

The successive discounts 18%, 10 % and 15 % are equivalent to a single discount of :

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 37: 27%.

Formula Used:

S.P.=M.P.×100−D100S.P. = M.P. \times{100 - D\over 100}

Explanation:

Let the M.P. of an article be 100x

According to the given question,

S.P.=100x×100−18100×100−15100×100−10100S.P. = 100x \times{100 - 18\over 100} \times {100 - 15\over 100} \times {100 - 10\over 100}

⇒ S.P.=100x×82100×85100×90100S.P. = 100x \times{82\over 100} \times {85\over 100} \times {90\over 100}

⇒ S.P. = 62.73x

Now, overall discount = 100x - 62.7x = 37.27x

Discount % = (37.27/100)× 100 = 37.27%

Hence the required answer is 37.27%.