A bag contains 25 paise and 50 paise coins whose total value is ₹30.if the number of 25 paise coins is four times that of 50 paise coins .find the number of each type of coins
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1
Answer:
25 paise coins = 2000 coins
50 paise coins = 500 coins
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Answer:
ʟᴇᴛ , ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ 50ᴘᴀɪꜱᴇ ᴄᴏɪɴꜱ = x
ᴛʜᴇʀᴇꜰᴏʀᴇ , ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ 25ᴘᴀɪꜱᴇ ᴄᴏɪɴꜱ = 4x
ᴠᴀʟᴜᴇ ᴏꜰ x 50 ᴘᴀɪꜱᴇ ᴄᴏɪɴꜱ = ₹ 50/100x
ᴠᴀʟᴜᴇ ᴏꜰ 4x 25 ᴘᴀɪꜱᴇ ᴄᴏɪɴꜱ = ₹ 4x × 25/100
ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ Qᴜᴇꜱᴛɪᴏɴ
4x × 25/100 + 50/100 = 30
⇒ 100x + 50 / 100 = 30
⇒ 150x = 30 × 100
⇒ x = 3000/150
⇒ x = 20
∴ ɴᴜᴍʙᴇʀ ᴏꜰ 50ᴘᴀɪꜱᴇ ᴄᴏɪɴꜱ = 20
ɴᴜᴍʙᴇʀ ᴏꜰ 25 ᴘᴀɪꜱᴇ ᴄᴏɪɴꜱ = 20 × 4 = 80
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