Question

If the cash difference between the selling price of an item at a gain of 3% and 6% is 79, which of the following options is the correct ratio between the selling prices?

• A. 101 : 103
• B. 103 : 100
• C. 103 : 106
• D. 101 : 105

Answer 1

Answer:

C. 103 : 106

Let cost price = ₹100 (assume)

Selling price at 3% gain

$SP_1 = 103$

Selling price at 6% gain

$SP_2 = 106$

Difference given

$106 - 103 = 3 \text{ corresponds to } 79$

So,
$3 \rightarrow 79$

Scale up

$SP_1 : SP_2 = 103 : 106$

Multiply both by 79/3:
$SP_1 : SP_2 = 103 \times 79 : 106 \times 79$

But ratio simplifies directly:

103 : 106

Final Answer:

Selling price ratio = 103 : 106