Question

A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?

A) Rs 950 B) Rs 1149 C) Rs 1244 D) Rs 751

Answer 1

Answer:

950

Step-by-step explanation:

let cost for wholesaler be ' 100%'

C.p for retailer = 125%

c.p for customer = 88 % of 125% = 110%

110% = 1045 => 100%= Rs 950

Answer 2

$\sf\large\underline{Let:}$

• The cost price of watch=x

$\sf\large\underline{To\: Find:}$

• The cost price of watch for wholesaler=?

$\sf\large\underline{Solution}$

• At first we have to calculate the cost price of watch for retailer than cost price of watch for customer]

$\sf\large\underline{CP\:for\: wholesaler}$

$\tt{\implies SP=\dfrac{100+G\%}{100}\times\:CP}$

$\tt{\implies SP=\dfrac{100+25}{100}\times\:x}$

$\tt{\implies SP=\dfrac{125x}{100}}$

$\sf\large\underline{CP\:for\: retailer}$

$\tt{\implies SP=\dfrac{100-L\%}{100}\times\:CP}$

$\tt{\implies SP=\dfrac{100-12}{100}\times\:\dfrac{125x}{100}}$

$\tt{\implies SP=\dfrac{88}{100}\times\:\dfrac{125x}{100}}$

$\tt{\implies 1045=\dfrac{88}{100}\times\:\dfrac{125x}{100}}$

$\tt{\implies 1045=\dfrac{11000x}{10000}}$

$\tt{\implies 11x=10450}$

$\tt{\implies x=950}$

$\sf\large{Hence,}$

$\bf{\implies Cost\: price\:of\: watch\:_{(wholesaler)}=Rs.950}$

$\rm{\underbrace{Answer=Option-(A)}}$