shruti purchased several number of 3 articles p, q and r in the proportion 3: 2: 3. if the unit costs of the articles p, q and r are 200, rs. 90 and rs. 60 respectively, how many articles of q must have been purchased in the total purchases of rs. 4800?  Choose the most appropriate option:
A) 8
B) 10
C) 12
D) 14
E) 16
<gadget id="calculator">3 * 200</gadget>
<output>600</output>

<gadget id="calculator">2 * 90</gadget>
<output>180</output>

<gadget id="calculator">600 + 180</gadget>
<output>780</output>

<gadget id="calculator">3 * 60</gadget>
<output>180</output>

<gadget id="calculator">780 + 180</gadget>
<output>960</output>

<gadget id="calculator">4_800 / 960</gadget>
<output>5</output>

<gadget id="calculator">5 * 2</gadget>
<output>10</output>

<result>B</result>
shruti purchased several number of 3 articles p, q and r in the proportion 3: 2: 3. if the unit costs of the articles p, q and r are 200, rs. 90 and rs. 60 respectively, how many articles of q must have been purchased in the total purchases of rs. 4800?
multiply(divide(4800, add(add(multiply(3, 200), multiply(2, 90)), multiply(3, 60))), 2)
explanation : let the number of articles of types p , q and r be 3 a , 2 a and 3 a respectively . thus , we get , ( 200 x 3 a ) + ( 90 x 2 a ) + ( 60 x 3 a ) = 4800 960 a = 4800 a = 5 hence , the number of articles of type “ q ” = 2 x 5 = 10 answer b