Question

A dealer marked the price of an item 40% above the cost price. Once he gave successive discounts of 20% and 25% to a particular customer. As a result, he incurred a loss of Rs 448. At what price did he sell the item to the mentioned customer?

• A. Rs. 2416
• B. Rs. 2352
• C. Rs. 2268
• D. Rs. 2152
• E. Rs. 2578

Answer 1

The correct option is B Rs. 2352

Let the cost price of the item be 100.
$\underset{CP}{100}\stackrel{40\%\uparrow }{\to }\underset{MP}{140}\stackrel{20\%\downarrow }{\to }112\stackrel{25\%\downarrow }{\to }\underset{SP}{84}$
$\therefore$ Loss = 16% and Loss = Rs 448.
$\therefore CP=\frac{448\times 100}{16}=Rs2800.\therefore SP=\frac{2800\times 84}{100}=Rs2352.$