Math, asked by Lathwal5972, 11 months ago

A person buys a horse and a cart for rupees 1200 . he sells the horse at 12%profit and cart at 6% loss if he makes a6%on the whole find the cost of horse

Answers

Answered by RvChaudharY50
81

Given :-

  • Total CP = Rs.1200
  • Sold Horse at = 12% Profit.
  • Sold Cart at = 6% Loss .
  • Whole Profit = 6% .

Solution :-

Let us Assume That, Cost Price of Horse was Rs.x .

Than, cost Price of Cart = Rs.(1200 - x)

Now, He Sold Horse at a Profit of 12%.

So,

SP = CP* (100+ Profit % ) /100

→ SP = x * (112)/100 --------------- Equation (1).

Now, He Sold Cart At a loss of 6% .

So,

SP = CP* (100 - Loss % ) /100

→ SP = (1200-x) * (94)/100 --------------- Equation (2).

______________________

Now, Given That, Overall Profit was 6%.

So,

CP* (100+ Profit % ) /100

→ SP = 1200 * (106)/100 --------------- Equation (3)

_______________________

Adding Equation (1) & (2) now, And Putting Equal to Equation (3) , we get,

(112x)/100 + [1200-x)94]/100 = (1200*106)/100

→ 112x - 94x + 1200*94 = 1200 * 106

→ 18x = 1200 * 106 - 1200*94

→ 18x = 1200(106-94)

→ 18x = 1200 * 12

→ x = (1200*12)/18

→ x = Rs.800

Hence, CP of Horse was Rs.800.

Answered by BrainlyHeart751
57

Answer:

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