SSC CHSL 2022 PYQ — Question 55

SSC CHSL - 2 June 2022 - Shift 2 • Quantitative Aptitude • Q55

An article is sold at a discount of 10% and an additional discount of 40% is allowed on cash payment. If Anita purchased an article by paying Rs.2,700 in cash, the marked price of the article was:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. Rs.5,000.

Given:

SP = Rs.2,700 

Discount = 10%

Additional Discount on cash payment = 40%

Formula Used:

M.P.×(100−D1)100×(100−D2)100=S.P.M.P. \times {(100 -D_1) \over 100} \times {(100 -D_2) \over 100} = S.P.

Explanation:

Let the marked price of the article be Rs. x

Since article is purchased by paying in cash,

So, x×(100−10)100×(100−40)100=S.P.x \times {(100 - 10) \over 100} \times {(100 -40) \over 100} = S.P.

⇒ x×(100−10)100×(100−40)100=2,700x \times {(100 - 10) \over 100} \times {(100 -40) \over 100} = 2,700

⇒ x×90100×60100=2,700x \times {90 \over 100} \times {60 \over 100} = 2,700

⇒ x=27×100×100(9×6)x = {{27 \times 100 \times 100} \over (9 \times 6)}

⇒ x = 5,000

Hence the marked price of the article is Rs. 5,000.