Question

a sold a sofa set to b at of 15%,b sold it to c at a loss of 5%.if C paid rupees 2622,how much did A pay for it​

Answer 1

Step-by-step explanation:

suppose A pay rs x.

price value of b is rs 115x/100

price value of c is Rs 95 * 115x /10000

95 * 115x /10000 = 2622

x = 2622*10000 / (95*115) = 2400

A pay rs 2400.

Answer 2

Correct Question

A sold a sofa set to B at a profit of 15%. B sold it to C at a loss of 5%. If C paid ₹2622 to B. How much did A pay for it.

Answer

Given :

Profit percent of A : 15%

Loss percent of B : 5%

Cost paid by C : ₹2622

To find :

The cost paid by A to buy the sofa set.

Solution :

First, we should find the cost paid by B. We know that the cost paid by B is same as selling price of A.

Cost paid by B :

$\sf \dashrightarrow \dfrac{100}{(100 - Loss\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 - 5)} \times 2622$

$\sf \dashrightarrow \dfrac{100}{95} \times 2622$

$\sf \dashrightarrow \dfrac{20}{19} \times 2622$

$\sf \dashrightarrow \dfrac{20 \times 2622}{19} = \dfrac{52440}{19}$

$\sf \dashrightarrow \cancel \dfrac{52440}{19} = 2760$

Now, we can find the cost paid by A. We know that the cost paid by B is same as selling price of A.

Cost paid by A :

$\sf \dashrightarrow \dfrac{100}{(100 + Profit\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 + 15)} \times 2760$

$\sf \dashrightarrow \dfrac{100}{115} \times 2760$

$\sf \dashrightarrow \dfrac{20}{23} \times 2760$

$\sf \dashrightarrow \dfrac{20 \times 2760}{23} = \dfrac{55200}{23}$

$\sf \dashrightarrow \cancel \dfrac{55200}{23} = 2400$

Hence, the cost paid by A to buy the sofa set is ₹2400.