Question

Jaipal purchased article for Rs.3200 and sold one fourth of it at a loss of 10% and one half of it at gain of 5%. Find the selling price of the remaining articles to gain 20% on the whole.

Answer 1

Answer:

Step-by-step explanation:

Given, Cost price of an article = Rs3200

By selling one-fourth of an article he got 10% loss

1/4 of cost price = 3200/4

Selling price = cost price - loss

= 3200/4 - 10% of 3200/4

= 3200/4 - 10/100 × 3200/4

= 3200/4 - 320/4

= 3200-320/4

= 2880/4

= 720

Selling price = Rs. 720/-

Answer 2

Answer:

The selling price of the remaining articles to gain 20% on the whole is Rs. 1440

Step-by-step explanation:

Cost Price of the article= Rs.3200

$\frac{1}{4}$×3200= Rs.800

$\frac{1}{2}$×3200= Rs.1600

10% loss means $\frac{10}{100}$×800 = Rs.80

Rs.800 - Rs.80 = Rs.720

5% gain means $\frac{5}{100}$×1600 = Rs.80

Rs.1600 + Rs.80 = Rs.1680

Remaining = 1 - ($\frac{1}{4}+\frac{1}{2}$)

                  = 1 - $\frac{3}{4}$

                  = $\frac{1}{4}$

For a 20% gain, the S.P. =  $\frac{120}{100}$×3200 = Rs.3840

Total Selling Price = 1680 + 720 +x = Rs.3840

2400+x = 3840

x = 3840 - 2400

x = 1440

The Selling price of the remaining articles is Rs. 1440

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