A sold a calculater to B 20% profit B sold it to C at 5% profit If C paid - Maths - Comparing Quantities

Question

A sold a calculater to B 20% profit B sold it to C at 5% profit
If C paid Rs 441 for it, what was the cost price of the
calculator?

Priyanka Kedia · Accepted Answer

Let the Cost Price of calculator for A = Rs x

Given, A sold it to B at 20% profit. So,

$C o s t \Pr i c e f o r B = (100 + 20) % o f x = 120 % o f x$

And B sold it to C at 5% profit. So,

$C o s t \Pr i c e f o r C = (100 + 5) % o f (120 % o f x) = 105 % o f 120 % o f x$

And, C pays Rs 441.

Therefore,

$105 % o f 120 % o f x = 441 \Rightarrow \frac{105}{100} \times \frac{120}{100} \times x = 441 \Rightarrow \frac{21}{20} \times \frac{6}{5} \times x = 441 \Rightarrow x = \frac{441 \times 20 \times 5}{21 \times 6} \Rightarrow x = 350$

Thus, the cost price of calculator is Rs 350.

A sold a calculater to B 20% profit.B sold it to C at 5% profit. If C paid Rs 441 for it, what was the cost price of the calculator?