Question

A shopkeeper loses 15% if an article is sold for rs 102 what should be the selling price of the article to gain 20%

Answer 1

CP of an article is RS 102
Loss % = 15
Gain %= 20
SP of the article is 102 × 15 by 20
Rs 153

Answer 2

Answer:

144 rupees

Step-by-step explanation:

Let x be the cost price of the article,

If the loss percentage = 15 %,

Then, loss = 15 % of x = 0.15x

Since, selling price = Cost price - loss = x - 0.15x = 0.85x

According to the question,

0.85x = 102

$x=\frac{102}{0.85}=120$

Thus, the cost price of the article = rs 120,

If gain percentage = 20%,

So, the gain = 20% of 120 = 0.20 × 120 = 24 rupees,

Hence, the selling price = Cost price + Profit

= 120 + 24

= 144 rupees.