Question

9. Mahesh purchased a Music System for 12000. He sold it to Ramesh at a gain of 10%. If Ramesh sells it to Suresh at a loss of 5%, what did Suresh pay for it?​

Answer 1

Answer:

Suresh will pay ₹12540

Explanation:

Given,

Mahesh purchased a music system for ₹12,000

Then,

C. P.(cost price) of the music system is ₹12,000

And sold it to Ramesh at a 10% gain.

S. P. (selling price) of the music system is given by :-

$\sf \bullet \: SP = \dfrac{100 + profit\%}{100} \times CP$

By the given data,

$\sf = \dfrac{100 + 10}{100} \times 12000$

$\sf = \dfrac{110}{100} \times 12000$

$\sf = 110 \times 120$

$\sf = 13200$

Now,

Ramesh sells it to Suresh for 5% loss

Again,

S. P. for 5% loss is given by :-

$\sf = \dfrac{100 - 5}{100} \times 13200$

$\sf = \dfrac{95}{100} \times 13200$

$\sf = 95 \times 132$

$\sf = 12540$

Hence, Suresh will pay ₹12540 to purchase the music system from Ramesh.

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Formula used :

$\sf \bullet \: SP = \dfrac{100 + profit\%}{100} \times CP$

$\sf \bullet \: SP = \dfrac{100 - loss\%}{100} \times CP$