If a harmonium is sold for Rs. 16 , the percentage of loss is equal to its cost price. Find out the cost price of the harmonium.

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

Both 80 and 20

None of these

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- Since we have specified a percentage loss equal to the harmonium's cost price, we can answer thisQuestion using a percentage loss calculation.

By deducting the cost and selling prices, we can determine the loss.
The cost of a harmonium is X rupees.
The cost to purchase a harmonium is Rs. 16.
Hence, Loss

.
Since we already know the formula, it is as follows:

Assuming a percentage loss equal to the cost.
that we may write
Question Image

By dividing the middle term into two pieces whose multiplication equals the sum of the middle term and division equals the product of the first and last terms of the equation, we may factorize the equation.
The first and last terms' product in the equation above is

So, we must divide the middle word, 100X, into two pieces whose sum is

and whose multiplication equals

Either

Hence, the correct answer is option 3.

Watch 3-min video & get full concept clarity