Question

Q.28 Jim bought a cat and a dog for Rs. 600 each. Later he sold them.He made a profit of
20% on the dog but made a loss of 25% on the cat. How much did he get altogether
when he sold the cat and the dog?
(1) Rs.1200 (2) Rs.1150 (3) Rs.1170 (4) Rs.570​

Answer 1

Given :

Cost price of a cat : ₹600

Cost price of a dog : ₹600

Profit percent of dog : 20%

Loss percent of the cat : 25%

To find :

The selling price of dog and cat together.

Solution :

First, we should find the selling price of dog and cat separately.

Selling price of the dog :

${\sf \dashrightarrow \dfrac{(100 + Profit \%)}{100} \times CP}$

${\sf \dashrightarrow \dfrac{(100 + 20)}{100} \times 600}$

${\sf \dashrightarrow \dfrac{120}{100} \times 600}$

${\sf \dashrightarrow \dfrac{6}{5} \times 600}$

${\sf \dashrightarrow \dfrac{6 \times 600}{5} = \dfrac{3600}{5}}$

${\sf \dashrightarrow \cancel \dfrac{3600}{5} = 720}$

Selling price of the cat :

${\sf \dashrightarrow \dfrac{(100 - Loss \%)}{100} \times CP}$

${\sf \dashrightarrow \dfrac{(100 - 25)}{100} \times 600}$

${\sf \dashrightarrow \dfrac{75}{100} \times 600}$

${\sf \dashrightarrow \dfrac{3}{4} \times 600}$

${\sf \dashrightarrow \dfrac{3 \times 600}{4} = \dfrac{1800}{4}}$

${\sf \dashrightarrow \cancel \dfrac{1800}{4} = 450}$

Now, we should add both the selling prices.

Total selling price of dog and cat :

${\sf \dashrightarrow 720 + 450}$

${\sf \dashrightarrow Rs.1170}$

Hence, the total selling prices of dog and cat are ₹1170.