Question

9. A man sells two ink-pens at 198 each. On one he gains 10% and on the other he loses 10%. What is the cost price of each pen ? What is the total gain or loss? ​

Answer 1

Answer:

Cost Price of 1st pen is rupees = 180.

Applying formula (10/100*x)+x

Cost Price of second pen is 220 rupees.

There was a total gain of 4 rupees.

Answer 2

Given :

Selling price of each ink-pens : ₹198

Gain percent of first pen : 10%

Loss percent of second pen : 10%

To find :

Cost price of each pen.

Total gain or loss.

Solution :

First, we'll find the cost price of each pen.

Cost price of first pen :

$\sf \dashrightarrow \dfrac{100}{(100 + Gain\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 + 10)} \times 198$

$\sf \dashrightarrow \dfrac{100}{110} \times 198$

$\sf \dashrightarrow \dfrac{10}{11} \times 198$

$\sf \dashrightarrow \dfrac{10 \times 198}{11}$

$\sf \dashrightarrow \cancel \dfrac{1980}{11} = 180$

Cost price of second pen :

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

$\sf \dashrightarrow \dfrac{100}{(100 - 10)} \times 198$

$\sf \dashrightarrow \dfrac{100}{90} \times 198$

$\sf \dashrightarrow \dfrac{10}{9} \times 198$

$\sf \dashrightarrow \dfrac{10 \times 198}{9} = \dfrac{1980}{9}$

$\sf \dashrightarrow \cancel \dfrac{1980}{9} = 220$

Now, we should add the cost price and selling price separately.

Total cost price :

$\sf \dashrightarrow 180 + 220$

$\dashrightarrow$₹$\sf 400$

Total selling price :

$\sf \dashrightarrow 198 + 198$

$\dashrightarrow$₹$\sf 396$

As we can see that, the cost price is greater than selling price. So,

Loss rupees :

$\sf \dashrightarrow 400 - 396$

$\dashrightarrow$₹$\sf 4$

Hence, the loss rupees is ₹4.