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Rajni and Mohini deposited ₹ 3000 and ₹ 4000 in a company at the rate of 10% per annum for 3 years and 212 years respectively. The difference of the amounts received by them will be ______. - Mathematics

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Question

Rajni and Mohini deposited ₹ 3000 and ₹ 4000 in a company at the rate of 10% per annum for 3 years and `2 1/2` years respectively. The difference of the amounts received by them will be ______.

Options

  • ₹ 100

  • ₹ 1000

  • ₹ 900

  • ₹ 1100

MCQ
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Solution

Rajni and Mohini deposited ₹ 3000 and ₹ 4000 in a company at the rate of 10% per annum for 3 years and `2 1/2` years respectively. The difference of the amounts received by them will be ₹ 1100.

Explanation:

For Rajni: Principal = ₹ 3000

Rate = 10% p.a.

Time = 3 years

Interest = `(P xx R xx T)/100`

= `(3000 xx 10 xx 3)/100`

= ₹ 900

Amount = 3000 + 900 = ₹ 3900

For Mohini: Principal = ₹ 4000

Rate = 10% p.a.

Time = `2 1/2` years = `5/2` years

Interest =  `(P xx R xx T)/100`

= `(4000 xx 10 xx 5)/(100 xx 2)`

= ₹ 1000

Amount = 4000 + 1000 = ₹ 5000

∴ Difference in amounts = 5000 – 3900 = ₹ 1100

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Chapter 7: Comparing Quantities - Exercise [Page 198]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 7 Comparing Quantities
Exercise | Q 17. | Page 198

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