Question

Q1. A farmer sold two cows for Rs 18,000 each. On one cow, he gained 1 po
20% and on the other he lost 20%. Find his total loss or gain. *
Rs 1000
O Rs 1500
O
Rs 1050
O Rs 1550
which option is correct​

Answer 1

Given: 2 cows are sold.

Sales price of two cows is Rs. 18000 each.

Profit on first cow = 20%

Loss on first cow = 20%

To find: Total Loss/ profit to the farmer = ?

Let Cost Price of first cow = Rs $C_1$

Let Cost Price of second cow = Rs $C_2$

Formula For profit %

$P = \dfrac{SP - CP}{CP}\times 100$

Where SP and CP are Sales price and Cost price respectively.

Putting the values:

$\dfrac{18000-C_1}{C_1}\times 100 = 20\\\Rightarrow 1800000-100C_1 = 20C_1\\\Rightarrow 1800000 = 120C_1\\\Rightarrow C_1 = Rs.\ 15000$

Profit on cow 1 = 18000 - 15000 = Rs. 3000

Formula For Loss %

$P = \dfrac{CP - SP}{CP}\times 100$

Where SP and CP are Sales price and Cost price respectively.

Putting the values:

$\dfrac{C_2-18000}{C_2}\times 100 = 20\\\Rightarrow 100C_2 -1800000= 20C_2\\\Rightarrow 1800000 = 80C_2\\\Rightarrow C_2 = Rs.\ 22500$

Loss on cow 1 = 22500-18000 = Rs. 4500

So, there is a net total loss to the farmer = 4500 - 3000 = Rs. 1500