Question

Match the statements on the left to their respective conclusions on the right.

• A. 8 pens cost ₹48
• B. 8 pencils cost ₹64
• C. 7 pens cost ₹56
• D. 7 pencils cost ₹14

Answer 1

Given that 6 pens cost ₹36
$⟹$ 1 pen costs $\frac{₹36}{6}=₹6$
$⟹$8 pens cost $8\times ₹6=₹48$
Now, if 6 pencils cost ₹48, this implies that the cost of 1 pencil = $\frac{₹48}{6}=₹8$
$⟹$ The cost of 8 pencils =$8\times ₹8=₹64$
Also, if 9 pens cost ₹72, then the cost of 1 pen = $\frac{₹72}{9}=₹8$
$⟹$ 7 pens cost $7\times ₹8=₹56$
And, 9 pencils cost ₹18 $⟹$ The cost of 1 pencil = $\frac{₹18}{9}=₹2$
$\therefore$ The cost of 7 pencils = $7\times ₹2=₹14$