Question

Sonu sold a watch at a gain of 5% to Rohit and Rohit sold it to Mohan at a gain of 10%. If Mohan paid rs 1155 for it, then find the cost price of Sonu's watch.

Answer 1

Step-by-step explanation:

Sonu=1155-115.5

=999.5-19.5=980

Answer 2

The cost price of Sonu's watch is Rs. 1000.

Step-by-step explanation:

Since we have given that

Profit % when Sonu sold a watch to Rohit = 5%

Profit % when Rohit sold a watch to Mohan = 10%

Amount paid by Mohan = Rs. 1155

Let the original price of Sonu's watch be 'x'.

According to question, it becomes,

$\dfrac{100+5}{100}\times \dfrac{100+10}{100}\times x=1155\\\\\dfrac{105}{100}\times \dfrac{110}{100}x=1155\\\\1.05\times 1.1\times x=1155\\\\x=\dfrac{1155}{1.05\times 1.1}\\\\x=1000$

Hence, the cost price of Sonu's watch is Rs. 1000.

# learn more:

Arpit sold a watch at a gain of 5% to Mohit and Mohit sold it to Rohit at a gain of 4%. if Rohit paid rupees 91 for it, then find the cost price of arpit's watch.​

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