If two successive discounts, each of 20% on the marked price of an art

1.	If two successive discounts, each of 20% on the marked price of an article, are equal to a single discount of Rs. 331.20, then the marked price (in Rs.) of the article is:1. 7502. 1,2003. 6454. 920
Answer» Correct Answer - Option 4 : 920 Given: Each discount = 20% Single discount = Rs. 331.20 Concept used: Using the concept of percentage. Calculation: Let the MP is Rs. x. 1st discount at MP = (100 – 20)% of x ⇒ 1st discount = 80% of x ⇒ 1st dicount = 80/100 × x ⇒ 1st dicount = 0.8x 2nd discount = (100 – 20)% of 0.8x ⇒ 2nd discount = 80% of 0.8x ⇒ 2nd dicount = 80/100 × 0.8x ⇒ 2nd dicount = 0.8 × 0.8x ⇒ 2nd dicount = 0.64x Equivalent discount = x – 0.64x ⇒ 331.20 = 0.36x ⇒ x = 331.20/0.36 ⇒ x = Rs. 920 ∴ The marked price of an article is Rs. 920.

If two successive discounts, each of 20% on the marked price of an article, are equal to a single discount of Rs. 331.20, then the marked price (in Rs.) of the article is:1. 7502. 1,2003. 6454. 920

Answer» Correct Answer - Option 4 : 920

Given:

Each discount = 20%

Single discount = Rs. 331.20

Concept used:

Using the concept of percentage.

Calculation:

Let the MP is Rs. x.

1st discount at MP = (100 – 20)% of x

⇒ 1st discount = 80% of x

⇒ 1st dicount = 80/100 × x

⇒ 1st dicount = 0.8x

2nd discount = (100 – 20)% of 0.8x

⇒ 2nd discount = 80% of 0.8x

⇒ 2nd dicount = 80/100 × 0.8x

⇒ 2nd dicount = 0.8 × 0.8x

⇒ 2nd dicount = 0.64x

Equivalent discount = x – 0.64x

⇒ 331.20 = 0.36x

⇒ x = 331.20/0.36

⇒ x = Rs. 920

∴ The marked price of an article is Rs. 920.

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