Question

Ram saves his pocket money in a piggy bank. It contains 370 rupees.if the number of 10 rupees notes is one more than that of 50 rupees notes find the number of notes of each type.what is the value depicted?

Answer 1

Let the number of 50 rupee notes = a

Then the number of 10 rupee note = (a+1)

(as according to the question the number of 10 rupee notes is one than that of 50 rupee)

Value of 50 rupee notes = 50 × a

Value of 10 rupee note = 10(a+1)

Total money = 50 × a + 10(a+1)

                    = 50a + 10a +10

Now,

50a + 10a + 10 = 370

[as the piggy bank contains total money Rs 370]

⇒ 60a + 10 = 370

⇒ 60a = 370 - 10

[transporting 10 to RHS]

⇒ 60a = 360

⇒ a = 360 ÷ 60

⇒ a = 6

Therefore,

Number of 50 rupee note = a = 6

Number of 10 rupee notes = (a+1) = 6+1 = 7

CHECK :

Total money = 50 × 6 + 10 × 7 = 300 + 70 = Rs 370

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