Question

The given table shows the weights of some marbles. What is the weight of marble $P$?

Marbles	$PQQ$	$QRS$	$PSR$
Weight (in g)	$660$	$600$	$540$

• A. $150g$
• B. $280g$
• C. $180g$
• D. $240g$

Answer 1

The correct option is C $180g$

Weight of $P+S+R=540g$
Weight of $Q+R+S=600g$
$\Rightarrow$ Weight of $Q=600-540+$ Weight of $P$
$\Rightarrow$ Weight of $Q=60+$ Weight of $P$
Also, Weight of $(P+Q+Q)=660g$
$\Rightarrow$ Weight of $P+(60+P)+(60+P))=660g$
$\Rightarrow$ Weight of $3P+120=660g$
$\Rightarrow$ Weight of $3P=(660-120)g=540g$
$\Rightarrow$ Weight of $P=(540÷3)g=180g$.