Question

The cost prices of the two articles are in the ratio of 4:5. While selling these articles, the shopkeeper gains 10% on one article and 20% profit on the other article, and the difference in the selling price is ₹480. Find the total cost price of both the articles. 

विकल्प

• ₹ 2,800

• ₹ 2,700

• ₹ 2,500

• ₹ 3,000

Answer 1

₹ 2,700

Explanation:

`("CP"_1)/("CP"_2) = 4/5`

SP₁ = `4 xx 110/100  = 4.4`

SP₂ = `5 xx 120/100 = 6`

Difference between SP₁ & SP₂ = ₹ 480

=> 6 − 4.4 = ₹ 480

⇒ 1.6 = ₹ 480

⇒ 1 − ₹ 300

Cost price of both article= (4 + 5) × 300

= 9 × 300

= ₹ 2700