Q.

A person purchases 90 clocks and sells 40 clocks at again of 10% and 50 clocks at gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

Rs. 80 

b

Rs. 90

c

Rs. 60

d

Rs. 50 

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let each clock C.P. be x

So , we can say that cost of 90 clocks will be 90x

 

He sells 40 clocks at a gain of 10% i.e. 110% and 50 clocks at a gain of 20% i.e. 120%

S.P. of 90 clocks = [(40x of 110%) + (50x of 120%)]

                            = Question Image

                            = Question Image

                            = Question Image

                            = Question Image

 

Now , he sold all the clocks at a uniform profit 15% i.e. 115% he would have got Rs 40 less.

S.P of 90 clocks(after uniform profit of 15% and also got 40 less) so,

104x - (90x of 115%) - 40 = 0

Question Image

Question Image

Question Image

Question Image

Question Image

Question Image

Question Image


 

Watch 3-min video & get full concept clarity

hear from our champions

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon