Question

A merchant sold 25 caps at RS.9.90 per cap.In this transaction he incurred a loss of RS.40. What is the cost price of each cap?

With explanation.​

Answer 1

Answer:

• The cost price of each cap is Rs 11.50

Step-by-step explanation:

Given that:

• A merchant sold 25 caps at Rs 9.90 per cap.
• In this transaction he incurred a loss of Rs 40.

To Find:

• What is the cost price of each cap?

We have,

∵ Selling price of one cap = Rs 9.90

∴ Selling price of 25 caps = Rs 9.90 × 25

∴ Selling price of 25 caps = Rs 247.50

We know that,

Cost price = Selling price + Loss

⟶ Cost price = Rs (247.50 + 40)

⟶ Cost price = Rs 287.50

Now we have,

∵ Cost price of 25 caps = Rs 287.50

∴ Cost price of one cap = Rs 287.50/25

∴ Cost price of one cap = Rs 11.50

Hence,

• The cost price of each cap is Rs 11.50

Answer 2

Answer:

Given :-

• A merchant sold 25 caps at Rs 9.90 per cap. In this transaction he incurred a loss of Rs 40.

To Find :-

• What is the cost price of each cap.

Formula Used :-

$\clubsuit$ Cost Price Formula :

$\longmapsto \sf\boxed{\bold{\pink{Cost\: Price =\: Selling\: Price + Loss}}}$

Solution :-

First, we have to find the selling price of 25 caps :

If, one caps sells at Rs 9.90 per cap.

Then,

$\implies \sf S.P\: of\: 25\: caps =\: 9.90 \times 25$

$\implies \sf S.P\: of\: 25\: caps =\: \dfrac{990}{100} \times 25$

$\implies \sf S.P\: of\: 25\: caps =\: \dfrac{2475\cancel{0}}{10\cancel{0}}$

$\implies \sf S.P\: of\: 25\: caps =\: \dfrac{2475}{10}$

$\implies \sf\bold{\purple{S.P\: of\: 25\: caps =\: Rs\: 247.50}}$

Now, we have to find the cost price of cap :

Given :

• Selling Price = Rs 247.50
• Loss = Rs 40

According to the question by using the formula we get,

$\implies \sf Cost\: Price =\: Rs\: 247.50\: + Rs\: 40$

$\implies \sf Cost\: Price =\: Rs(247.50 + 40)$

$\implies \sf \bold{\green{Cost\: Price =\: Rs\: 287.50}}$

Now, we have to find the cost price of each cap :

If, cost price of 25 cap is Rs 287.50

Then,

$\longrightarrow \sf C.P\: of\: each\: cap =\: Rs\: \dfrac{287.50}{25}$

$\longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{\dfrac{28750}{100}}{25}$

$\longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{28750}{100} \times \dfrac{1}{25}$

$\longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{28750}{2500}$

$\longrightarrow \sf\bold{\red{C.P\: of\: each\: cap =\:Rs\: 11.50}}$

$\therefore$ The cost price of each cap is Rs 11.50.