AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The manufacturer A of a certain item sells it to a wholesaler at a profit of 20% on his manufacturing cost. The wholesaler sells it to a retailer at a profit of 25% and the retailer sells it to a consumer at a profit of 20%. The price percent paid by the consumer over and above manufacturing cost will be,

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

65%

85%

80%

90%

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that,
The manufacturer A of a certain item sells it to a wholesaler at a profit of 20%.
The wholesaler sells it to a retailer at a profit of 25%.
The retailer sells it to a consumer at a profit of 20%.
Let the manufacturing cost be Rs.

x

. Then the wholesaler's cost price will be,
C.P = Manufacturer cost+

\frac{Profit %}{100} \times

Manufacturer cost

\Rightarrow

C.P

= x + \frac{20}{100} x

\Rightarrow

C.P=

\frac{100 x + 20 x}{100}

\Rightarrow

C.P=

\frac{120 x}{100}

\Rightarrow

C.P

= Rs . \frac{6 x}{5}

Retailer's cost price will be,
C.P

= \frac{6 x}{5} + \frac{25}{100} \times \frac{6 x}{5}

\Rightarrow

C.P=

\frac{6 x}{5} + \frac{30 x}{100}

\Rightarrow

C.P=

\frac{120 x + 30 x}{100}

\Rightarrow

C.P=

\frac{150 x}{100}

\Rightarrow

C.P

= Rs . \frac{3 x}{2}

Finally, consumer's purchasing price will be,
Purchasing price

= \frac{3 x}{2} + \frac{20}{100} \times \frac{3 x}{2}

\Rightarrow

Purchasing price

= \frac{3 x}{2} + \frac{30 x}{100}

\Rightarrow

Purchasing price

= \frac{150 x + 30 x}{100}

\Rightarrow

Purchasing price

= \frac{180 x}{100}

\Rightarrow

Purchasing price

= Rs . \frac{9 x}{5}

Thus, on the manufacturing cost of Rs.

x

, the consumer pays,

\Rightarrow (\frac{9 x}{5} - x)

\Rightarrow (\frac{9 x - 5 x}{5})

\Rightarrow Rs . \frac{4 x}{5}

∴

Price percent paid by consumer over and above manufacturing cost,

% = \frac{Price paid over and above manufacturing cost}{Manufacturing cost} \times 100

\Rightarrow % = \frac{4 x}{5} \times \frac{1}{x} \times 100

\Rightarrow % = 80 %

Thus, the price percent paid is 80%.
Therefore, the correct option is 2.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

best study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App