Question

A man bought a bullock and a cart for ₹10,000. He sold the bullock at a gain of 30% and the cart at a loss of 20%, thereby gaining 2% on the whole. Find the cost of the bullock.

• A. ₹5600
• B. ₹4400
• C. ₹5400
• D. ₹4600

Answer 1

Answer:

B. ₹4400

Let the cost price (CP) of the bullock = x
Then CP of the cart = 10000 − x

Selling prices

• Bullock sold at 30% gain ⇒ SP = (1.3x)

• Cart sold at 20% loss ⇒ SP = (0.8(10000 - x))

  Total gain = 2%

Total CP = 10000
$Total SP = (10000 \times 1.02 = 10200)$

Form equation

$1.3x + 0.8(10000 - x) = 10200$

Solve

$1.3x + 8000 - 0.8x = 10200$
$0.5x + 8000 = 10200$
$0.5x = 2200$
$x = 4400$

Final Answer:

Cost of the bullock = ₹4400