A smartphone costs 10 times the cost of a headphone On selling smartphone there is a profit of 15 wh...........

Quant (SSC) Profit and loss

A smartphone costs 10 times the cost of a headphone. On selling smartphone there is a profit of 15% while the total profit on selling both headphone and smartphone is 20%. If there is a profit of Rs. 2800 on selling headphone then find the cost price of smartphone?

20000

30000

50000

40000

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Explanation:

Let the CP of headphone be Rs. x
So, CP of smartphone be Rs. 10x
So, total SP = 11x × 120/100 = Rs. 13.2x
SP of smartphone = 10x × 115/100 = Rs. 11.5x
SP of headphone = Rs. (13.2x – 11.5x) = Rs. 1.7x

So, profit on thesale of headphone = Rs. (1.7x – x) = Rs. 0.7x
According to the question,

0.7x = 2800

∴ x = 4000

So, the cost price of smartphone = Rs. 10x = Rs. (10 × 4000) = Rs. 40000