Question

A customized jewelry was sold at Rs.1000 with a 90% discount on the ‘making nature’. If the payment mode for making charges was Rs.100, what was the approximate rate of discount on the product?
(a) 35
(b) 45
(c) 47
(d) 90

Answer 1

Hint: Rs.1000 includes the jewelry cost and the making charge which is Rs.100. Now find the cost of the jewelry. Consider ‘x’ as making a charge. After 90% discount and 10% making charge are Rs.100. Find x. Total CP will be the cost of jewelry and making charge ‘x’. Then find the discount which is the cost of jewelry by CP.

Complete step-by-step solution:
It is given that customized jewelry was sold at Rs.1000.
The discount in making nature = 90%
The Making charge of the jewelry = Rs.100.
The selling price of the jewelry also includes the making charge of the jewelry.
\[\therefore \] The cost of the jewelry = Rs.900
After $90\%.$ discount and $10\%.$ of the making charge is Rs.100. We need to find the making charge of the jewelry. Let us consider the making charge as ‘x’.
Hence $10\%.$ of the making charge = Rs.100
\[\Rightarrow \] 10% of x = 100
\[\Rightarrow \dfrac{10x}{100}=100\], apply cross multiplication property.
\[\Rightarrow x=\dfrac{10\times 100}{10}\] = Rs.1000.
Thus we found the making charge of the jewelry as Rs.1000.
Now the total cost price of the jewelry will be the cost of the jewelry and the making charge of the jewelry.
\[\therefore \] Total CP of jewelry = 1000 + 900 = Rs.1900.
Hence overall discount = (Cost of the jewelry / Total CP of jewelry) \[\times 100\]
Hence overall discount = \[\dfrac{900}{1900}\times 100=47\%\] approx.
Thus the approximate rate of discount on the product = $47\%.$
\[\therefore \] Option (c) is the correct answer.

Note: Make sure to understand the question carefully that the jewelry sold for Rs.1000 contains the cost of jewelry and making the charge. Remember the formula for finding a discount on the product, which is the cost of the jewelry without the making charge.