Question

The cash difference between selling a cert at profit 10%and of 15%is rupees 10 what are the two selling prices ?​

Answer 1

Let cost price = x

SP with 10 % profit = x + 10% of x

= 110x/100

SP with 15 % profit = x + 15% of x

= 115x/100

Now,

(115x - 100x)/100 = 10

5x/100 = 10

x/20 = 10

x = 200

CP = Rs. 200

SP with 10 % profit = 200 + 200 × 10/100

= 200 + 20

= Rs. 220

SP with 15 % profit = 200 + 200 × 15/100

= 200 + 30

= Rs. 230

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Answer 2

SOLUTION:-

Given:

The cash difference between selling a shirt at profit 10% & 15% is Rs.10.

To find:

The two selling price.

Explanation:

Using the formula of the profit %;

$Profit\% = \frac{Profit}{C.P.} \times 100$

Therefore,

Let the cost price of shirt be Rs. M

First profit of shirt is 10%

$\frac{10}{M} \times 100 \\ \\ 100M = 10 \\ \\ M = \frac{10}{100} \\ \\ M = Rs. \frac{1}{10}$

&

Second profit of shirt is 15%

$\frac{15}{M} \times 100 \\ \\ 100M = 15 \\ \\ M = \frac{15}{100} \\ \\ M = Rs.\frac{3}{20}$

Difference between selling price is Rs.10:

$\frac{3}{20} M - \frac{1}{10} M = 10 \\ \\ \frac{3 - 2}{20M} = 10 \\ \\ \frac{1}{20M} = 10 \\ \\M =Rs.(10 \times 20) \\ \\ M = Rs.200$

Thus,

The cost price of shirt is Rs.200.

Now,

Selling price of the shirt are:

First selling price:

$</strong><strong>R</strong><strong>s.( \frac{1}{10} \times 200 ) \\ \\ </strong><strong>R</strong><strong>s.20$

Second selling price:

$Rs.( \frac{3}{20} \times 200 )\\ \\ = Rs.30$

Total S.P. of first shirt= 200 +20= Rs.220

Total S.P.of second shirt=200+30= Rs.230.