2 bags and 10 pens together cost ₹720, whereas 8 bags and 15 pens together cost ₹1,205. The cost of 18 bags exceeds the cost of 3 pens by:
2 bags and 10 pens together cost ₹720, whereas 8 bags and 15 pens together cost ₹1,205. The cost of 18 bags exceeds the cost of 3 pens by:
2 बैग और 10 पेन की कुल कीमत ₹720 है, जबकि 8 बैग और 15 पेन की कुल कीमत ₹1,205 है। 18 बैग की कीमत 3 पेन की कीमत से कितनी अधिक है?
Detailed Solution & Logic
Correct Answer:
₹249
Let bag = $x$, pen = $y$
Given:
$2x + 10y = 720$
$8x + 15y = 1205$
Divide first equation by 2:
$x + 5y = 360$
Multiply by 8:
$8x + 40y = 2880$
Now subtract:
$(8x + 40y) - (8x + 15y) = 2880 - 1205$
$25y = 1675$ → $y = 67$
Put in $x + 5y = 360$:
$x + 335 = 360$ → $x = 25$
Now,
$18x - 3y = 18(25) - 3(67)$
= 450 - 201 = 249
Final Answer: ₹249
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