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?

September 21, 2021

By Josie

2 thoughts on “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?<br”

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

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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 :-

   [tex]\clubsuit[/tex] Cost Price Formula :

   [tex]\longmapsto \sf\boxed{\bold{\pink{Cost\: Price =\: Selling\: Price + Loss}}}\\[/tex]

   Solution :-

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

   If, one caps sells at Rs 9.90 per cap.

   Then,

   [tex]\implies \sf S.P\: of\: 25\: caps =\: 9.90 \times 25[/tex]

   [tex]\implies \sf S.P\: of\: 25\: caps =\: \dfrac{990}{100} \times 25[/tex]

   [tex]\implies \sf S.P\: of\: 25\: caps =\: \dfrac{2475\cancel{0}}{10\cancel{0}}[/tex]

   [tex]\implies \sf S.P\: of\: 25\: caps =\: \dfrac{2475}{10}[/tex]

   [tex]\implies \sf\bold{\purple{S.P\: of\: 25\: caps =\: Rs\: 247.50}}[/tex]

   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,

   [tex]\implies \sf Cost\: Price =\: Rs\: 247.50\: + Rs\: 40\\[/tex]

   [tex]\implies \sf Cost\: Price =\: Rs(247.50 + 40)[/tex]

   [tex]\implies \sf \bold{\green{Cost\: Price =\: Rs\: 287.50}}[/tex]

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

   If, cost price of 25 cap is Rs 287.50

   Then,

   [tex]\longrightarrow \sf C.P\: of\: each\: cap =\: Rs\: \dfrac{287.50}{25}[/tex]

   [tex]\longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{\dfrac{28750}{100}}{25}[/tex]

   [tex]\longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{28750}{100} \times \dfrac{1}{25}[/tex]

   [tex]\longrightarrow \sf C.P\: of\: each\: cap =\: \dfrac{28750}{2500}[/tex]

   [tex]\longrightarrow \sf\bold{\red{C.P\: of\: each\: cap =\:Rs\: 11.50}}[/tex]

   [tex]\therefore[/tex] The cost price of each cap is Rs 11.50.

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