Question

a merchant purchased a horse and a biggie for RS.1200.He sold the horse at 20 % p4fit and biggie at 30 % profit and gets overall profit of 25 5/6% . find the cost of the horse and buggy​

Answer 1

The cost of the horse and buggy​ are Rs 500 and Rs 600 respectively.

Let the cost price of horse be Rs x and the cost price of the buggy be Rs y.

Given, he sold the horse at 20% profit.

So, SP of horse = (100+20)% of CP

= 120% of Rs x

= Rs 1.2x

Again, he sold the buggy at 30% profit.

So, SP of buggy = (100+30)% of CP

= 130% of Rs y

= Rs 1.3y

Total CP = x + y, which is equal to Rs 1200

So, x + y = 1200 ...(1)

25 5/6% profit on total  CP is equal to,

(100 + 155/6)% of Rs (x+y)

= 755/6 % of Rs (x+y)

= Rs 755(x+y)/600

This is equal to total SP = Rs (1.2x + 1.3y)

Thus, (755x + 755y)/600 = 1.2x + 1.3y

⇒ 755x + 755y = 720x + 780y

⇒ 35x - 25y = 0

⇒ x = 5y/7

Putting this value in eqn. (1),

5y/7 + y = 1200

⇒ 12y = 8400

⇒ y = 8400/12 = 700 (Cost Price of buggy)

x = 5y/7 = 5*700/7 = 500 (Cost Price of horse)