On his birthday Yakshith’s grand father has given ₹ 2000. He used

1.	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» 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.

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»

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.