Question

a dealer bought 50 caps for Rs 1500. She sold 15 for rate of Rs 35 each and 15 for Rs 40 each. At what price per cap should she sell the remaining to gain 15% on her outlay? Show with process and photo.

Answer 1

Answer:

Rate per cap=Rs 30

Step-by-step explanation:

GIVEN

Cost price of 50 caps (cp)= Rs 1500

Rate for 15 cap =Rs 35 each

Rate for next 15 cap= Rs 40 each

Let the rate for remaining i.e,(20) cap= Rs x each

TO FIND

Price for 20 cap each=?

SOLUTION

Selling price of 15 cap= Rs 15×35= Rs 525

selling price of next 15 cap= Rs 15×40= Rs 600

selling price of 20 cap= 20×x= 20x

therefore ,

total selling of 50 cap(sp)= Rs(525+600+20x) = (1125+20x)

Now,

profit( gain)= sp-cp

=1125+20x-1500

= (20x-375)

profit=profit% of cp

or, 20x-375=(15×1500)/100

or, 20x-375= 15×15

or, 20x-375=225

or, 20x=225+375

or, 20x=600

therefore x=30

Hence price per cap should be Rs 30 each to make 15% gain.

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