Question

On his birthday Yakshith’s grand father has given ₹ 2000. He used some amount for purchasing books for needy children and thrice of that amount for purchasing food items for orphanage children and the remaining ₹ 200 used for purchasing chocolates . for his friends. Find the amount spent for purchasing books and food items for orphanage children.

Answer 1

Let the amount spent for purchasing books for needy children = ₹ x 

Amount spent for purchasing food items for orphanage children = ₹ 3x 

Amount spent for purchasing chocolates for friends = ₹ 200 

Total amount spent = ₹ 2000

⇒ x + 3x + 200 = 2000 

⇒ 4x + 200 = 2000 

⇒ 4x = 2000 – 200 

⇒ 4x = 1800

⇒ x = 1800/4

⇒ x = 450 

∴ Amount spent for purchasing books for needy children = ₹ 450 

Amount spent for purchasing food items for orphanage children = ₹ 3x 

= 3 × 450 = ₹ 1350 

Check: 

Amount = ₹ 450 + ₹ 1350 + ₹ 200 

= ₹ 2000 

Hence Verified.