Question

A customized jewellery was sold at Rs 1000 with 90% discount on the ‘making charges’. If the payment made for making charges was Rs 100, what is the approximate} rate of discount on the product?

• A. 35
• B. 45
• C. 47
• D. 90

Hint:

Be clear about what part of the price the discount applies to. Use actual payment and reverse-calculate the discount proportion.

Answer 1

The Correct Option is C

Step 1: Understand what is included in the price
Selling price = Rs 1000
Let making charges = \( x \) and jewellery value = \( y \)
So, \( x + y = 1000 \) Step 2: Apply the discount on making charges
Buyer paid only Rs 100 for making charges after 90% discount, i.e.
90% of \( x \) is discounted ⇒ Paid = 10% of \( x \) \Rightarrow \( 0.1x = 100 \Rightarrow x = 1000 \) Step 3: Calculate actual jewellery price
Then \( y = 1000 - 1000 = 0 \Rightarrow \) Not possible! This implies making charges were part of the Rs 1000 total, and actual jewellery cost = Rs 900.
So, only the making charges (Rs 100) were discounted, and 90% of that was waived:
\[ \text{Discount} = 90\text{% of }100 = Rs 90
\text{Effective discount on Rs 1000} = \frac{90}{1000} \times 100 = 9% \] Wait! But only Rs 100 was paid! Which means total paid = Rs 100.
Thus, \[ \text{Effective discount} = \frac{1000 - 100}{1000} \times 100 = \boxed{90%} \] So option (d) is correct.