Selling price of a computer is Rs. 15,903 after allowing two successiv

1.	Selling price of a computer is Rs. 15,903 after allowing two successive discount of 7% and 5%. Find the market price.1. Rs. 12,0002. Rs. 13,0003. Rs. 14,0004. Rs. 18,000
Answer» Correct Answer - Option 4 : Rs. 18,000 Given: Selling price = Rs. 15,903 Discount = 7% and 5% Formula used: Selling price = market price (1 – D₁%) (1 – D_2%) Where D₁ and D₂ represents successive discounts Calculation: ⇒ 15,903 = Market price × (1 – 7%) × (1 – 5%) ⇒ 15,903 = Market price × (93/100) × (95/100) ⇒ (15,903 × 100 × 100)/(93 × 95) = Market price ⇒ Market price = Rs. 18,000 Alternative method Let the market price is Rs. x Price after first discount = x – 7% of x ⇒ 93x/100 Price after second discount = (93x/100) – 5% of (93x/100) ⇒ 1767x/2000 So, 1767x/2000 = 15903 ⇒ x = 15903 × 2000/1767 ⇒ x = Rs. 18,000 Hence, market price is Rs. 18,000

Selling price of a computer is Rs. 15,903 after allowing two successive discount of 7% and 5%. Find the market price.1. Rs. 12,0002. Rs. 13,0003. Rs. 14,0004. Rs. 18,000

Answer» Correct Answer - Option 4 : Rs. 18,000

Given:

Selling price = Rs. 15,903

Discount = 7% and 5%

Formula used:

Selling price = market price (1 – D₁%) (1 – D_2%)

Where D₁ and D₂ represents successive discounts

Calculation:

⇒ 15,903 = Market price × (1 – 7%) × (1 – 5%)

⇒ 15,903 = Market price × (93/100) × (95/100)

⇒ (15,903 × 100 × 100)/(93 × 95) = Market price

⇒ Market price = Rs. 18,000

Alternative method

Let the market price is Rs. x

Price after first discount = x – 7% of x

⇒ 93x/100

Price after second discount = (93x/100) – 5% of (93x/100)

⇒ 1767x/2000

So, 1767x/2000 = 15903

⇒ x = 15903 × 2000/1767

⇒ x = Rs. 18,000

Hence, market price is Rs. 18,000

Discussion

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