On the marked price of an article, the sum of selling prices with a di

1.	On the marked price of an article, the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995. The marked price of the article (in Rs.) is:1. 1,5002. 1,5503. 1,8004. 1,600
Answer» Correct Answer - Option 1 : 1,500 Given: Sum of selling price = Rs. 1995 Discount on 1^st case = 35 percent Discount on 2^nd case (Successive) = 20 percent & 15 percent Formula used: Selling price = [(discount)/marked price] × 100 Or Selling price = [(100 – discount percent)/100] × marked price Calculation: Let marked price be 100x [{(100 - 35)/100} × 100x] + [{(100-20)/100} × {(100-15)/100} × 100x] = 1995 ⇒ 65x + [(80 × 85)/100]x = 1995 ⇒ 65x + 68x = 1995 ⇒ 133x = 1995 ⇒ x = 15 ⇒ 100x = 1500 ∴ The marked price of the article is Rs. 1500

On the marked price of an article, the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995. The marked price of the article (in Rs.) is:1. 1,5002. 1,5503. 1,8004. 1,600

Answer» Correct Answer - Option 1 : 1,500

Given:

Sum of selling price = Rs. 1995

Discount on 1^st case = 35 percent

Discount on 2^nd case (Successive) = 20 percent & 15 percent

Formula used:

Selling price = [(discount)/marked price] × 100

Or Selling price = [(100 – discount percent)/100] × marked price

Calculation:

Let marked price be 100x

[{(100 - 35)/100} × 100x] + [{(100-20)/100} × {(100-15)/100} × 100x] = 1995

⇒ 65x + [(80 × 85)/100]x = 1995

⇒ 65x + 68x = 1995

⇒ 133x = 1995

⇒ x = 15

⇒ 100x = 1500

∴ The marked price of the article is Rs. 1500

Discussion

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