Question

A trader marked his goods at 17% above the cost price. He sold half the stock at the marked price, one-third at a discount of 20% on the marked price and the rest at a discount of 30% on the marked price, CP of the whole stock is $1,00,000.The total selling price of the whole stock is
(1) $1,05,500
(2) $1,05,000
(3) $1,01,250
(4) $1,03,350

Answer 1

Answer:

ans is 2

hope it help.

thanks

dhaendbad

Answer 2

Answer:

The total selling price of the whole stock is $\ 1,03,350$

Step-by-step explanation:

Given the marked price is 17% above the cost price

Half stock sold at the marked price

One-third at a discount of 20% on the marked price

Rest at a discount of 30% on the marked price

Cost price of the whole stock = $1,00,000  

Marked price of the stock

$=CP+ \frac{17}{100} \times CP$

$=100000+ \frac{17}{100} \times 100000=100000+ 17000=\ 1,17,000$

Selling price of half the stock at the marked price

$=\frac{117000}{2} =\ 58,500$                                                                                     ...(1)

Selling price of the one third stock at 20% discount on the marked price = 80% of marked price of 1/3rd stock

$= \frac{80}{100} \times \frac{1,17,000}{3} = 8 \times 3900=\ 31,200$                                                       ...(2)

And the remaining stock is

$=1-\big(\frac{1}{2}+\frac{1}{3}\big )=1-\frac{5}{6}=\frac{1}{6}$

Selling price of remaining stock at 30% discount on the marked price  = 70% of marked price of 1/6th stock                                                         ...(3)

$= \frac{70}{100} \times \frac{1,17,000}{6} = 7 \times 1950= \ 13,650$

Thus the total selling price of the stock, adding (1), (2) and (3),   $=58,500+31,200+13,650=\ 1,03,350$

Therefore, the total selling price of the whole stock is $\ 1,03,350$

So, the correct answer is option 4.