Question

एक थैले में एक रुपया, पचास पैसे एवं दस पैसे के कुछ सिक्के हैं । रुपये और
पचास पैसे के सिक्कों का अनुपात 2 : 5 तथा पचास पैसे और दस पैसे के
सिक्कों का अनुपात 4 :9 है। यदि कुल धन 1,125 ₹ हो, तो प्रत्येक प्रकार के
सिक्कों की संख्या ज्ञात कीजिए।​

Answer 1

Answer :-

$\to \bf\red{1 \: rupee \: coins \: = 400} \\ \to \bf \green{\: 50 \: paise \: coins = 1000} \\ \to \bf \blue{10 \: paise \: coins \: = 2250}$

Step - by - step solution -

According to the question, we have some coins of 1 rupee,50 paise and 10 paise

Let 1 rupee coins = a, 50 paise coins = b

and 10 paise coins = c

Given that → Rupee : 50 paise = 2:5

And , 50 paise : 10 paise = 4:9

first make ratio identical

→ a : b = 2:5 and b : c = 4 : 9

Make b identical

→ a : b : c = 8 : 20 : 45

Here total Rupee = ₹1125

Now take it as -

now convert them iin same unit, then totally we have -

→ 8 × 100 + 20× 50 + 45 × 10 units

→ 800 + 1000 + 450

→ 2250 units paise

But we have in rupee = ₹1125 = 112500 paise

→ 2250 units paise = 112500

→ 1 unit paise = 50

But we have the ratio of coins a : b : c = 8:20:45

We have 1 rupee coin = 8 × 50 = 400 coins of 1 rupees

→ 20 × 50 = 1000 coins of ( 50 paise )

and 45 × 50 = 2250 ( 10 paise coins)

Which we have total of ₹1125

$\to \bf\red{1 \: rupee \: coins \: = 400} \\ \to \bf \green{\: 50 \: paise \: coins = 1000} \\ \to \bf \blue{10 \: paise \: coins \: = 2250}$